annotate libcruft/arpack/src/cneupd.f @ 12277:3d38b4916cbf release-3-4-x

avoid memory overrun in ARPACK
author David Bateman <dbateman@free.fr>
date Fri, 28 Jan 2011 14:05:34 -0500
parents 9f5d2ef078e8
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1 c\BeginDoc
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2 c
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3 c\Name: cneupd
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4 c
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5 c\Description:
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6 c This subroutine returns the converged approximations to eigenvalues
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7 c of A*z = lambda*B*z and (optionally):
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8 c
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9 c (1) The corresponding approximate eigenvectors;
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10 c
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11 c (2) An orthonormal basis for the associated approximate
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12 c invariant subspace;
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13 c
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14 c (3) Both.
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15 c
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16 c There is negligible additional cost to obtain eigenvectors. An orthonormal
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17 c basis is always computed. There is an additional storage cost of n*nev
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18 c if both are requested (in this case a separate array Z must be supplied).
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19 c
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20 c The approximate eigenvalues and eigenvectors of A*z = lambda*B*z
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21 c are derived from approximate eigenvalues and eigenvectors of
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22 c of the linear operator OP prescribed by the MODE selection in the
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23 c call to CNAUPD. CNAUPD must be called before this routine is called.
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24 c These approximate eigenvalues and vectors are commonly called Ritz
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25 c values and Ritz vectors respectively. They are referred to as such
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26 c in the comments that follow. The computed orthonormal basis for the
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27 c invariant subspace corresponding to these Ritz values is referred to as a
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28 c Schur basis.
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29 c
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30 c The definition of OP as well as other terms and the relation of computed
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31 c Ritz values and vectors of OP with respect to the given problem
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32 c A*z = lambda*B*z may be found in the header of CNAUPD. For a brief
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33 c description, see definitions of IPARAM(7), MODE and WHICH in the
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34 c documentation of CNAUPD.
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35 c
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36 c\Usage:
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37 c call cneupd
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38 c ( RVEC, HOWMNY, SELECT, D, Z, LDZ, SIGMA, WORKEV, BMAT,
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39 c N, WHICH, NEV, TOL, RESID, NCV, V, LDV, IPARAM, IPNTR, WORKD,
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40 c WORKL, LWORKL, RWORK, INFO )
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41 c
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42 c\Arguments:
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43 c RVEC LOGICAL (INPUT)
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44 c Specifies whether a basis for the invariant subspace corresponding
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45 c to the converged Ritz value approximations for the eigenproblem
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46 c A*z = lambda*B*z is computed.
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47 c
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48 c RVEC = .FALSE. Compute Ritz values only.
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49 c
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50 c RVEC = .TRUE. Compute Ritz vectors or Schur vectors.
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51 c See Remarks below.
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52 c
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53 c HOWMNY Character*1 (INPUT)
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54 c Specifies the form of the basis for the invariant subspace
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55 c corresponding to the converged Ritz values that is to be computed.
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56 c
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57 c = 'A': Compute NEV Ritz vectors;
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58 c = 'P': Compute NEV Schur vectors;
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59 c = 'S': compute some of the Ritz vectors, specified
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60 c by the logical array SELECT.
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61 c
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62 c SELECT Logical array of dimension NCV. (INPUT)
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63 c If HOWMNY = 'S', SELECT specifies the Ritz vectors to be
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64 c computed. To select the Ritz vector corresponding to a
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65 c Ritz value D(j), SELECT(j) must be set to .TRUE..
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66 c If HOWMNY = 'A' or 'P', SELECT need not be initialized
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67 c but it is used as internal workspace.
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68 c
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69 c D Complex array of dimension NEV+1. (OUTPUT)
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70 c On exit, D contains the Ritz approximations
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71 c to the eigenvalues lambda for A*z = lambda*B*z.
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72 c
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73 c Z Complex N by NEV array (OUTPUT)
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74 c On exit, if RVEC = .TRUE. and HOWMNY = 'A', then the columns of
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75 c Z represents approximate eigenvectors (Ritz vectors) corresponding
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76 c to the NCONV=IPARAM(5) Ritz values for eigensystem
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77 c A*z = lambda*B*z.
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78 c
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79 c If RVEC = .FALSE. or HOWMNY = 'P', then Z is NOT REFERENCED.
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80 c
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81 c NOTE: If if RVEC = .TRUE. and a Schur basis is not required,
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82 c the array Z may be set equal to first NEV+1 columns of the Arnoldi
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83 c basis array V computed by CNAUPD. In this case the Arnoldi basis
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84 c will be destroyed and overwritten with the eigenvector basis.
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85 c
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86 c LDZ Integer. (INPUT)
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87 c The leading dimension of the array Z. If Ritz vectors are
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88 c desired, then LDZ .ge. max( 1, N ) is required.
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89 c In any case, LDZ .ge. 1 is required.
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90 c
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91 c SIGMA Complex (INPUT)
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92 c If IPARAM(7) = 3 then SIGMA represents the shift.
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93 c Not referenced if IPARAM(7) = 1 or 2.
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94 c
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95 c WORKEV Complex work array of dimension 2*NCV. (WORKSPACE)
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96 c
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97 c **** The remaining arguments MUST be the same as for the ****
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98 c **** call to CNAUPD that was just completed. ****
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99 c
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100 c NOTE: The remaining arguments
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101 c
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102 c BMAT, N, WHICH, NEV, TOL, RESID, NCV, V, LDV, IPARAM, IPNTR,
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103 c WORKD, WORKL, LWORKL, RWORK, INFO
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104 c
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105 c must be passed directly to CNEUPD following the last call
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106 c to CNAUPD. These arguments MUST NOT BE MODIFIED between
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107 c the the last call to CNAUPD and the call to CNEUPD.
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108 c
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109 c Three of these parameters (V, WORKL and INFO) are also output parameters:
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110 c
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111 c V Complex N by NCV array. (INPUT/OUTPUT)
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112 c
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113 c Upon INPUT: the NCV columns of V contain the Arnoldi basis
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114 c vectors for OP as constructed by CNAUPD .
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115 c
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116 c Upon OUTPUT: If RVEC = .TRUE. the first NCONV=IPARAM(5) columns
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117 c contain approximate Schur vectors that span the
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118 c desired invariant subspace.
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119 c
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120 c NOTE: If the array Z has been set equal to first NEV+1 columns
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121 c of the array V and RVEC=.TRUE. and HOWMNY= 'A', then the
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122 c Arnoldi basis held by V has been overwritten by the desired
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123 c Ritz vectors. If a separate array Z has been passed then
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124 c the first NCONV=IPARAM(5) columns of V will contain approximate
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125 c Schur vectors that span the desired invariant subspace.
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126 c
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127 c WORKL Real work array of length LWORKL. (OUTPUT/WORKSPACE)
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128 c WORKL(1:ncv*ncv+2*ncv) contains information obtained in
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129 c cnaupd. They are not changed by cneupd.
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130 c WORKL(ncv*ncv+2*ncv+1:3*ncv*ncv+4*ncv) holds the
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131 c untransformed Ritz values, the untransformed error estimates of
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132 c the Ritz values, the upper triangular matrix for H, and the
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133 c associated matrix representation of the invariant subspace for H.
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134 c
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135 c Note: IPNTR(9:13) contains the pointer into WORKL for addresses
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136 c of the above information computed by cneupd.
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137 c -------------------------------------------------------------
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138 c IPNTR(9): pointer to the NCV RITZ values of the
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139 c original system.
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140 c IPNTR(10): Not used
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141 c IPNTR(11): pointer to the NCV corresponding error estimates.
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142 c IPNTR(12): pointer to the NCV by NCV upper triangular
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143 c Schur matrix for H.
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144 c IPNTR(13): pointer to the NCV by NCV matrix of eigenvectors
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145 c of the upper Hessenberg matrix H. Only referenced by
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146 c cneupd if RVEC = .TRUE. See Remark 2 below.
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147 c -------------------------------------------------------------
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148 c
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149 c INFO Integer. (OUTPUT)
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150 c Error flag on output.
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151 c = 0: Normal exit.
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152 c
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153 c = 1: The Schur form computed by LAPACK routine csheqr
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154 c could not be reordered by LAPACK routine ctrsen.
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155 c Re-enter subroutine cneupd with IPARAM(5)=NCV and
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156 c increase the size of the array D to have
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157 c dimension at least dimension NCV and allocate at least NCV
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158 c columns for Z. NOTE: Not necessary if Z and V share
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159 c the same space. Please notify the authors if this error
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160 c occurs.
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161 c
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162 c = -1: N must be positive.
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163 c = -2: NEV must be positive.
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164 c = -3: NCV-NEV >= 2 and less than or equal to N.
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165 c = -5: WHICH must be one of 'LM', 'SM', 'LR', 'SR', 'LI', 'SI'
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166 c = -6: BMAT must be one of 'I' or 'G'.
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167 c = -7: Length of private work WORKL array is not sufficient.
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168 c = -8: Error return from LAPACK eigenvalue calculation.
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169 c This should never happened.
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170 c = -9: Error return from calculation of eigenvectors.
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171 c Informational error from LAPACK routine ctrevc.
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172 c = -10: IPARAM(7) must be 1,2,3
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173 c = -11: IPARAM(7) = 1 and BMAT = 'G' are incompatible.
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174 c = -12: HOWMNY = 'S' not yet implemented
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175 c = -13: HOWMNY must be one of 'A' or 'P' if RVEC = .true.
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176 c = -14: CNAUPD did not find any eigenvalues to sufficient
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177 c accuracy.
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178 c = -15: CNEUPD got a different count of the number of converged
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179 c Ritz values than CNAUPD got. This indicates the user
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180 c probably made an error in passing data from CNAUPD to
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181 c CNEUPD or that the data was modified before entering
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182 c CNEUPD
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183 c
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184 c\BeginLib
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185 c
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186 c\References:
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187 c 1. D.C. Sorensen, "Implicit Application of Polynomial Filters in
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188 c a k-Step Arnoldi Method", SIAM J. Matr. Anal. Apps., 13 (1992),
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189 c pp 357-385.
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190 c 2. R.B. Lehoucq, "Analysis and Implementation of an Implicitly
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191 c Restarted Arnoldi Iteration", Rice University Technical Report
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192 c TR95-13, Department of Computational and Applied Mathematics.
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193 c 3. B. Nour-Omid, B. N. Parlett, T. Ericsson and P. S. Jensen,
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194 c "How to Implement the Spectral Transformation", Math Comp.,
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195 c Vol. 48, No. 178, April, 1987 pp. 664-673.
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196 c
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197 c\Routines called:
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198 c ivout ARPACK utility routine that prints integers.
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199 c cmout ARPACK utility routine that prints matrices
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200 c cvout ARPACK utility routine that prints vectors.
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201 c cgeqr2 LAPACK routine that computes the QR factorization of
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202 c a matrix.
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203 c clacpy LAPACK matrix copy routine.
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204 c clahqr LAPACK routine that computes the Schur form of a
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205 c upper Hessenberg matrix.
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206 c claset LAPACK matrix initialization routine.
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207 c ctrevc LAPACK routine to compute the eigenvectors of a matrix
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208 c in upper triangular form.
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209 c ctrsen LAPACK routine that re-orders the Schur form.
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210 c cunm2r LAPACK routine that applies an orthogonal matrix in
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211 c factored form.
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212 c slamch LAPACK routine that determines machine constants.
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213 c ctrmm Level 3 BLAS matrix times an upper triangular matrix.
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214 c cgeru Level 2 BLAS rank one update to a matrix.
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215 c ccopy Level 1 BLAS that copies one vector to another .
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216 c cscal Level 1 BLAS that scales a vector.
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217 c csscal Level 1 BLAS that scales a complex vector by a real number.
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218 c scnrm2 Level 1 BLAS that computes the norm of a complex vector.
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219 c
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220 c\Remarks
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221 c
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222 c 1. Currently only HOWMNY = 'A' and 'P' are implemented.
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223 c
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224 c 2. Schur vectors are an orthogonal representation for the basis of
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225 c Ritz vectors. Thus, their numerical properties are often superior.
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226 c If RVEC = .true. then the relationship
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227 c A * V(:,1:IPARAM(5)) = V(:,1:IPARAM(5)) * T, and
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228 c transpose( V(:,1:IPARAM(5)) ) * V(:,1:IPARAM(5)) = I
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229 c are approximately satisfied.
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230 c Here T is the leading submatrix of order IPARAM(5) of the
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231 c upper triangular matrix stored workl(ipntr(12)).
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232 c
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233 c\Authors
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234 c Danny Sorensen Phuong Vu
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235 c Richard Lehoucq CRPC / Rice University
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236 c Chao Yang Houston, Texas
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237 c Dept. of Computational &
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238 c Applied Mathematics
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239 c Rice University
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240 c Houston, Texas
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241 c
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242 c\SCCS Information: @(#)
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243 c FILE: neupd.F SID: 2.7 DATE OF SID: 09/20/00 RELEASE: 2
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244 c
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245 c\EndLib
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246 c
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247 c-----------------------------------------------------------------------
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248 subroutine cneupd(rvec , howmny, select, d ,
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249 & z , ldz , sigma , workev,
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250 & bmat , n , which , nev ,
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251 & tol , resid , ncv , v ,
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252 & ldv , iparam, ipntr , workd ,
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253 & workl, lworkl, rwork , info )
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254 c
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255 c %----------------------------------------------------%
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256 c | Include files for debugging and timing information |
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257 c %----------------------------------------------------%
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258 c
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259 include 'debug.h'
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260 include 'stat.h'
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261 c
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262 c %------------------%
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263 c | Scalar Arguments |
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264 c %------------------%
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265 c
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266 character bmat, howmny, which*2
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267 logical rvec
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268 integer info, ldz, ldv, lworkl, n, ncv, nev
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269 Complex
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270 & sigma
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271 Real
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272 & tol
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273 c
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274 c %-----------------%
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275 c | Array Arguments |
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276 c %-----------------%
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277 c
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278 integer iparam(11), ipntr(14)
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279 logical select(ncv)
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280 Real
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281 & rwork(ncv)
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282 Complex
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283 & d(nev) , resid(n) , v(ldv,ncv),
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284 & z(ldz, nev),
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285 & workd(3*n) , workl(lworkl), workev(2*ncv)
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286 c
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287 c %------------%
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288 c | Parameters |
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289 c %------------%
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290 c
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291 Complex
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292 & one, zero
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293 parameter (one = (1.0E+0, 0.0E+0) , zero = (0.0E+0, 0.0E+0) )
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294 c
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295 c %---------------%
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296 c | Local Scalars |
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297 c %---------------%
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298 c
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299 character type*6
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300 integer bounds, ierr , ih , ihbds, iheig , nconv ,
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301 & invsub, iuptri, iwev , j , ldh , ldq ,
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302 & mode , msglvl, ritz , wr , k , irz ,
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parents:
diff changeset
303 & ibd , outncv, iq , np , numcnv, jj ,
12277
3d38b4916cbf avoid memory overrun in ARPACK
David Bateman <dbateman@free.fr>
parents: 12274
diff changeset
304 & ishift, nconv2
12274
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
305 Complex
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
306 & rnorm, temp, vl(1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
307 Real
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
308 & conds, sep, rtemp, eps23
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
309 logical reord
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
310 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
311 c %----------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
312 c | External Subroutines |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
313 c %----------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
314 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
315 external ccopy , cgeru, cgeqr2, clacpy, cmout,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
316 & cunm2r, ctrmm, cvout, ivout,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
317 & clahqr
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
318 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
319 c %--------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
320 c | External Functions |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
321 c %--------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
322 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
323 Real
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
324 & scnrm2, slamch, slapy2
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
325 external scnrm2, slamch, slapy2
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
326 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
327 Complex
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
328 & cdotc
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
329 external cdotc
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
330 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
331 c %-----------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
332 c | Executable Statements |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
333 c %-----------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
334 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
335 c %------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
336 c | Set default parameters |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
337 c %------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
338 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
339 msglvl = mceupd
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
340 mode = iparam(7)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
341 nconv = iparam(5)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
342 info = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
343 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
344 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
345 c %---------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
346 c | Get machine dependent constant. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
347 c %---------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
348 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
349 eps23 = slamch('Epsilon-Machine')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
350 eps23 = eps23**(2.0E+0 / 3.0E+0 )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
351 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
352 c %-------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
353 c | Quick return |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
354 c | Check for incompatible input |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
355 c %-------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
356 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
357 ierr = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
358 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
359 if (nconv .le. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
360 ierr = -14
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
361 else if (n .le. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
362 ierr = -1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
363 else if (nev .le. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
364 ierr = -2
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
365 else if (ncv .le. nev+1 .or. ncv .gt. n) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
366 ierr = -3
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
367 else if (which .ne. 'LM' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
368 & which .ne. 'SM' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
369 & which .ne. 'LR' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
370 & which .ne. 'SR' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
371 & which .ne. 'LI' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
372 & which .ne. 'SI') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
373 ierr = -5
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
374 else if (bmat .ne. 'I' .and. bmat .ne. 'G') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
375 ierr = -6
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
376 else if (lworkl .lt. 3*ncv**2 + 4*ncv) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
377 ierr = -7
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
378 else if ( (howmny .ne. 'A' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
379 & howmny .ne. 'P' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
380 & howmny .ne. 'S') .and. rvec ) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
381 ierr = -13
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
382 else if (howmny .eq. 'S' ) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
383 ierr = -12
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
384 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
385 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
386 if (mode .eq. 1 .or. mode .eq. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
387 type = 'REGULR'
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
388 else if (mode .eq. 3 ) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
389 type = 'SHIFTI'
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
390 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
391 ierr = -10
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
392 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
393 if (mode .eq. 1 .and. bmat .eq. 'G') ierr = -11
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
394 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
395 c %------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
396 c | Error Exit |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
397 c %------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
398 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
399 if (ierr .ne. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
400 info = ierr
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
401 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
402 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
403 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
404 c %--------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
405 c | Pointer into WORKL for address of H, RITZ, WORKEV, Q |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
406 c | etc... and the remaining workspace. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
407 c | Also update pointer to be used on output. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
408 c | Memory is laid out as follows: |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
409 c | workl(1:ncv*ncv) := generated Hessenberg matrix |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
410 c | workl(ncv*ncv+1:ncv*ncv+ncv) := ritz values |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
411 c | workl(ncv*ncv+ncv+1:ncv*ncv+2*ncv) := error bounds |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
412 c %--------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
413 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
414 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
415 c | The following is used and set by CNEUPD. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
416 c | workl(ncv*ncv+2*ncv+1:ncv*ncv+3*ncv) := The untransformed |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
417 c | Ritz values. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
418 c | workl(ncv*ncv+3*ncv+1:ncv*ncv+4*ncv) := The untransformed |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
419 c | error bounds of |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
420 c | the Ritz values |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
421 c | workl(ncv*ncv+4*ncv+1:2*ncv*ncv+4*ncv) := Holds the upper |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
422 c | triangular matrix |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
423 c | for H. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
424 c | workl(2*ncv*ncv+4*ncv+1: 3*ncv*ncv+4*ncv) := Holds the |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
425 c | associated matrix |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
426 c | representation of |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
427 c | the invariant |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
428 c | subspace for H. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
429 c | GRAND total of NCV * ( 3 * NCV + 4 ) locations. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
430 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
431 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
432 ih = ipntr(5)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
433 ritz = ipntr(6)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
434 iq = ipntr(7)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
435 bounds = ipntr(8)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
436 ldh = ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
437 ldq = ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
438 iheig = bounds + ldh
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
439 ihbds = iheig + ldh
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
440 iuptri = ihbds + ldh
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
441 invsub = iuptri + ldh*ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
442 ipntr(9) = iheig
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
443 ipntr(11) = ihbds
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
444 ipntr(12) = iuptri
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
445 ipntr(13) = invsub
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
446 wr = 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
447 iwev = wr + ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
448 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
449 c %-----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
450 c | irz points to the Ritz values computed |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
451 c | by _neigh before exiting _naup2. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
452 c | ibd points to the Ritz estimates |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
453 c | computed by _neigh before exiting |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
454 c | _naup2. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
455 c %-----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
456 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
457 irz = ipntr(14) + ncv*ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
458 ibd = irz + ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
459 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
460 c %------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
461 c | RNORM is B-norm of the RESID(1:N). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
462 c %------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
463 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
464 rnorm = workl(ih+2)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
465 workl(ih+2) = zero
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
466 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
467 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
468 call cvout(logfil, ncv, workl(irz), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
469 & '_neupd: Ritz values passed in from _NAUPD.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
470 call cvout(logfil, ncv, workl(ibd), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
471 & '_neupd: Ritz estimates passed in from _NAUPD.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
472 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
473 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
474 if (rvec) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
475 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
476 reord = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
477 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
478 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
479 c | Use the temporary bounds array to store indices |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
480 c | These will be used to mark the select array later |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
481 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
482 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
483 do 10 j = 1,ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
484 workl(bounds+j-1) = j
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
485 select(j) = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
486 10 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
487 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
488 c %-------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
489 c | Select the wanted Ritz values. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
490 c | Sort the Ritz values so that the |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
491 c | wanted ones appear at the tailing |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
492 c | NEV positions of workl(irr) and |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
493 c | workl(iri). Move the corresponding |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
494 c | error estimates in workl(ibd) |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
495 c | accordingly. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
496 c %-------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
497 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
498 np = ncv - nev
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
499 ishift = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
500 call cngets(ishift, which , nev ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
501 & np , workl(irz), workl(bounds))
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
502 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
503 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
504 call cvout (logfil, ncv, workl(irz), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
505 & '_neupd: Ritz values after calling _NGETS.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
506 call cvout (logfil, ncv, workl(bounds), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
507 & '_neupd: Ritz value indices after calling _NGETS.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
508 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
509 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
510 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
511 c | Record indices of the converged wanted Ritz values |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
512 c | Mark the select array for possible reordering |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
513 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
514 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
515 numcnv = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
516 do 11 j = 1,ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
517 rtemp = max(eps23,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
518 & slapy2 ( real (workl(irz+ncv-j)),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
519 & aimag(workl(irz+ncv-j)) ))
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
520 jj = workl(bounds + ncv - j)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
521 if (numcnv .lt. nconv .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
522 & slapy2( real (workl(ibd+jj-1)),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
523 & aimag(workl(ibd+jj-1)) )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
524 & .le. tol*rtemp) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
525 select(jj) = .true.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
526 numcnv = numcnv + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
527 if (jj .gt. nev) reord = .true.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
528 endif
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
529 11 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
530 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
531 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
532 c | Check the count (numcnv) of converged Ritz values with |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
533 c | the number (nconv) reported by dnaupd. If these two |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
534 c | are different then there has probably been an error |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
535 c | caused by incorrect passing of the dnaupd data. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
536 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
537 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
538 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
539 call ivout(logfil, 1, numcnv, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
540 & '_neupd: Number of specified eigenvalues')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
541 call ivout(logfil, 1, nconv, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
542 & '_neupd: Number of "converged" eigenvalues')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
543 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
544 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
545 if (numcnv .ne. nconv) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
546 info = -15
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
547 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
548 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
549 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
550 c %-------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
551 c | Call LAPACK routine clahqr to compute the Schur form |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
552 c | of the upper Hessenberg matrix returned by CNAUPD. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
553 c | Make a copy of the upper Hessenberg matrix. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
554 c | Initialize the Schur vector matrix Q to the identity. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
555 c %-------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
556 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
557 call ccopy(ldh*ncv, workl(ih), 1, workl(iuptri), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
558 call claset('All', ncv, ncv ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
559 & zero , one, workl(invsub),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
560 & ldq)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
561 call clahqr(.true., .true. , ncv ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
562 & 1 , ncv , workl(iuptri),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
563 & ldh , workl(iheig) , 1 ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
564 & ncv , workl(invsub), ldq ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
565 & ierr)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
566 call ccopy(ncv , workl(invsub+ncv-1), ldq,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
567 & workl(ihbds), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
568 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
569 if (ierr .ne. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
570 info = -8
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
571 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
572 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
573 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
574 if (msglvl .gt. 1) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
575 call cvout (logfil, ncv, workl(iheig), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
576 & '_neupd: Eigenvalues of H')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
577 call cvout (logfil, ncv, workl(ihbds), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
578 & '_neupd: Last row of the Schur vector matrix')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
579 if (msglvl .gt. 3) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
580 call cmout (logfil , ncv, ncv ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
581 & workl(iuptri), ldh, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
582 & '_neupd: The upper triangular matrix ')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
583 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
584 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
585 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
586 if (reord) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
587 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
588 c %-----------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
589 c | Reorder the computed upper triangular matrix. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
590 c %-----------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
591 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
592 call ctrsen('None' , 'V' , select ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
593 & ncv , workl(iuptri), ldh ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
594 & workl(invsub), ldq , workl(iheig),
12277
3d38b4916cbf avoid memory overrun in ARPACK
David Bateman <dbateman@free.fr>
parents: 12274
diff changeset
595 & nconv2 , conds , sep ,
12274
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
596 & workev , ncv , ierr)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
597 c
12277
3d38b4916cbf avoid memory overrun in ARPACK
David Bateman <dbateman@free.fr>
parents: 12274
diff changeset
598 if (nconv2 .lt. nconv) then
3d38b4916cbf avoid memory overrun in ARPACK
David Bateman <dbateman@free.fr>
parents: 12274
diff changeset
599 nconv = nconv2
3d38b4916cbf avoid memory overrun in ARPACK
David Bateman <dbateman@free.fr>
parents: 12274
diff changeset
600 end if
3d38b4916cbf avoid memory overrun in ARPACK
David Bateman <dbateman@free.fr>
parents: 12274
diff changeset
601
12274
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
602 if (ierr .eq. 1) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
603 info = 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
604 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
605 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
606 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
607 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
608 call cvout (logfil, ncv, workl(iheig), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
609 & '_neupd: Eigenvalues of H--reordered')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
610 if (msglvl .gt. 3) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
611 call cmout(logfil , ncv, ncv ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
612 & workl(iuptri), ldq, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
613 & '_neupd: Triangular matrix after re-ordering')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
614 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
615 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
616 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
617 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
618 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
619 c %---------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
620 c | Copy the last row of the Schur basis matrix |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
621 c | to workl(ihbds). This vector will be used |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
622 c | to compute the Ritz estimates of converged |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
623 c | Ritz values. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
624 c %---------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
625 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
626 call ccopy(ncv , workl(invsub+ncv-1), ldq,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
627 & workl(ihbds), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
628 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
629 c %--------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
630 c | Place the computed eigenvalues of H into D |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
631 c | if a spectral transformation was not used. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
632 c %--------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
633 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
634 if (type .eq. 'REGULR') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
635 call ccopy(nconv, workl(iheig), 1, d, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
636 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
637 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
638 c %----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
639 c | Compute the QR factorization of the matrix representing |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
640 c | the wanted invariant subspace located in the first NCONV |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
641 c | columns of workl(invsub,ldq). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
642 c %----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
643 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
644 call cgeqr2(ncv , nconv , workl(invsub),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
645 & ldq , workev, workev(ncv+1),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
646 & ierr)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
647 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
648 c %--------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
649 c | * Postmultiply V by Q using cunm2r. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
650 c | * Copy the first NCONV columns of VQ into Z. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
651 c | * Postmultiply Z by R. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
652 c | The N by NCONV matrix Z is now a matrix representation |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
653 c | of the approximate invariant subspace associated with |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
654 c | the Ritz values in workl(iheig). The first NCONV |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
655 c | columns of V are now approximate Schur vectors |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
656 c | associated with the upper triangular matrix of order |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
657 c | NCONV in workl(iuptri). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
658 c %--------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
659 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
660 call cunm2r('Right', 'Notranspose', n ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
661 & ncv , nconv , workl(invsub),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
662 & ldq , workev , v ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
663 & ldv , workd(n+1) , ierr)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
664 call clacpy('All', n, nconv, v, ldv, z, ldz)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
665 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
666 do 20 j=1, nconv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
667 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
668 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
669 c | Perform both a column and row scaling if the |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
670 c | diagonal element of workl(invsub,ldq) is negative |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
671 c | I'm lazy and don't take advantage of the upper |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
672 c | triangular form of workl(iuptri,ldq). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
673 c | Note that since Q is orthogonal, R is a diagonal |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
674 c | matrix consisting of plus or minus ones. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
675 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
676 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
677 if ( real ( workl(invsub+(j-1)*ldq+j-1) ) .lt.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
678 & real (zero) ) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
679 call cscal(nconv, -one, workl(iuptri+j-1), ldq)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
680 call cscal(nconv, -one, workl(iuptri+(j-1)*ldq), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
681 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
682 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
683 20 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
684 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
685 if (howmny .eq. 'A') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
686 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
687 c %--------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
688 c | Compute the NCONV wanted eigenvectors of T |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
689 c | located in workl(iuptri,ldq). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
690 c %--------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
691 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
692 do 30 j=1, ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
693 if (j .le. nconv) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
694 select(j) = .true.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
695 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
696 select(j) = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
697 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
698 30 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
699 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
700 call ctrevc('Right', 'Select' , select ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
701 & ncv , workl(iuptri), ldq ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
702 & vl , 1 , workl(invsub),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
703 & ldq , ncv , outncv ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
704 & workev , rwork , ierr)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
705 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
706 if (ierr .ne. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
707 info = -9
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
708 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
709 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
710 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
711 c %------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
712 c | Scale the returning eigenvectors so that their |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
713 c | Euclidean norms are all one. LAPACK subroutine |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
714 c | ctrevc returns each eigenvector normalized so |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
715 c | that the element of largest magnitude has |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
716 c | magnitude 1. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
717 c %------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
718 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
719 do 40 j=1, nconv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
720 rtemp = scnrm2(ncv, workl(invsub+(j-1)*ldq), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
721 rtemp = real (one) / rtemp
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
722 call csscal ( ncv, rtemp,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
723 & workl(invsub+(j-1)*ldq), 1 )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
724 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
725 c %------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
726 c | Ritz estimates can be obtained by taking |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
727 c | the inner product of the last row of the |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
728 c | Schur basis of H with eigenvectors of T. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
729 c | Note that the eigenvector matrix of T is |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
730 c | upper triangular, thus the length of the |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
731 c | inner product can be set to j. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
732 c %------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
733 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
734 workev(j) = cdotc(j, workl(ihbds), 1,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
735 & workl(invsub+(j-1)*ldq), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
736 40 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
737 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
738 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
739 call ccopy(nconv, workl(invsub+ncv-1), ldq,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
740 & workl(ihbds), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
741 call cvout (logfil, nconv, workl(ihbds), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
742 & '_neupd: Last row of the eigenvector matrix for T')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
743 if (msglvl .gt. 3) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
744 call cmout(logfil , ncv, ncv ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
745 & workl(invsub), ldq, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
746 & '_neupd: The eigenvector matrix for T')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
747 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
748 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
749 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
750 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
751 c | Copy Ritz estimates into workl(ihbds) |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
752 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
753 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
754 call ccopy(nconv, workev, 1, workl(ihbds), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
755 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
756 c %----------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
757 c | The eigenvector matrix Q of T is triangular. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
758 c | Form Z*Q. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
759 c %----------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
760 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
761 call ctrmm('Right' , 'Upper' , 'No transpose',
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
762 & 'Non-unit', n , nconv ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
763 & one , workl(invsub), ldq ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
764 & z , ldz)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
765 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
766 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
767 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
768 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
769 c %--------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
770 c | An approximate invariant subspace is not needed. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
771 c | Place the Ritz values computed CNAUPD into D. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
772 c %--------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
773 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
774 call ccopy(nconv, workl(ritz), 1, d, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
775 call ccopy(nconv, workl(ritz), 1, workl(iheig), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
776 call ccopy(nconv, workl(bounds), 1, workl(ihbds), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
777 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
778 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
779 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
780 c %------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
781 c | Transform the Ritz values and possibly vectors |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
782 c | and corresponding error bounds of OP to those |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
783 c | of A*x = lambda*B*x. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
784 c %------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
785 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
786 if (type .eq. 'REGULR') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
787 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
788 if (rvec)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
789 & call cscal(ncv, rnorm, workl(ihbds), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
790 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
791 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
792 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
793 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
794 c | A spectral transformation was used. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
795 c | * Determine the Ritz estimates of the |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
796 c | Ritz values in the original system. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
797 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
798 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
799 if (rvec)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
800 & call cscal(ncv, rnorm, workl(ihbds), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
801 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
802 do 50 k=1, ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
803 temp = workl(iheig+k-1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
804 workl(ihbds+k-1) = workl(ihbds+k-1) / temp / temp
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
805 50 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
806 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
807 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
808 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
809 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
810 c | * Transform the Ritz values back to the original system. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
811 c | For TYPE = 'SHIFTI' the transformation is |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
812 c | lambda = 1/theta + sigma |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
813 c | NOTES: |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
814 c | *The Ritz vectors are not affected by the transformation. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
815 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
816 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
817 if (type .eq. 'SHIFTI') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
818 do 60 k=1, nconv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
819 d(k) = one / workl(iheig+k-1) + sigma
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
820 60 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
821 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
822 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
823 if (type .ne. 'REGULR' .and. msglvl .gt. 1) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
824 call cvout (logfil, nconv, d, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
825 & '_neupd: Untransformed Ritz values.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
826 call cvout (logfil, nconv, workl(ihbds), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
827 & '_neupd: Ritz estimates of the untransformed Ritz values.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
828 else if ( msglvl .gt. 1) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
829 call cvout (logfil, nconv, d, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
830 & '_neupd: Converged Ritz values.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
831 call cvout (logfil, nconv, workl(ihbds), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
832 & '_neupd: Associated Ritz estimates.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
833 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
834 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
835 c %-------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
836 c | Eigenvector Purification step. Formally perform |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
837 c | one of inverse subspace iteration. Only used |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
838 c | for MODE = 3. See reference 3. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
839 c %-------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
840 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
841 if (rvec .and. howmny .eq. 'A' .and. type .eq. 'SHIFTI') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
842 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
843 c %------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
844 c | Purify the computed Ritz vectors by adding a |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
845 c | little bit of the residual vector: |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
846 c | T |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
847 c | resid(:)*( e s ) / theta |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
848 c | NCV |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
849 c | where H s = s theta. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
850 c %------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
851 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
852 do 100 j=1, nconv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
853 if (workl(iheig+j-1) .ne. zero) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
854 workev(j) = workl(invsub+(j-1)*ldq+ncv-1) /
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
855 & workl(iheig+j-1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
856 endif
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
857 100 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
858
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
859 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
860 c | Perform a rank one update to Z and |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
861 c | purify all the Ritz vectors together. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
862 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
863 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
864 call cgeru (n, nconv, one, resid, 1, workev, 1, z, ldz)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
865 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
866 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
867 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
868 9000 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
869 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
870 return
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
871 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
872 c %---------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
873 c | End of cneupd|
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
874 c %---------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
875 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
876 end