Mercurial > octave
annotate libcruft/arpack/src/ssaup2.f @ 12274:9f5d2ef078e8 release-3-4-x
import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
author | John W. Eaton <jwe@octave.org> |
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date | Fri, 28 Jan 2011 14:04:33 -0500 |
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import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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1 c----------------------------------------------------------------------- |
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2 c\BeginDoc |
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3 c |
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4 c\Name: ssaup2 |
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5 c |
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6 c\Description: |
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7 c Intermediate level interface called by ssaupd. |
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8 c |
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9 c\Usage: |
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10 c call ssaup2 |
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11 c ( IDO, BMAT, N, WHICH, NEV, NP, TOL, RESID, MODE, IUPD, |
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12 c ISHIFT, MXITER, V, LDV, H, LDH, RITZ, BOUNDS, Q, LDQ, WORKL, |
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13 c IPNTR, WORKD, INFO ) |
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14 c |
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15 c\Arguments |
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16 c |
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17 c IDO, BMAT, N, WHICH, NEV, TOL, RESID: same as defined in ssaupd. |
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18 c MODE, ISHIFT, MXITER: see the definition of IPARAM in ssaupd. |
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19 c |
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20 c NP Integer. (INPUT/OUTPUT) |
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21 c Contains the number of implicit shifts to apply during |
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22 c each Arnoldi/Lanczos iteration. |
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23 c If ISHIFT=1, NP is adjusted dynamically at each iteration |
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24 c to accelerate convergence and prevent stagnation. |
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25 c This is also roughly equal to the number of matrix-vector |
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26 c products (involving the operator OP) per Arnoldi iteration. |
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27 c The logic for adjusting is contained within the current |
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28 c subroutine. |
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29 c If ISHIFT=0, NP is the number of shifts the user needs |
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30 c to provide via reverse comunication. 0 < NP < NCV-NEV. |
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31 c NP may be less than NCV-NEV since a leading block of the current |
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32 c upper Tridiagonal matrix has split off and contains "unwanted" |
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33 c Ritz values. |
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34 c Upon termination of the IRA iteration, NP contains the number |
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35 c of "converged" wanted Ritz values. |
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36 c |
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37 c IUPD Integer. (INPUT) |
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38 c IUPD .EQ. 0: use explicit restart instead implicit update. |
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39 c IUPD .NE. 0: use implicit update. |
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40 c |
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41 c V Real N by (NEV+NP) array. (INPUT/OUTPUT) |
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42 c The Lanczos basis vectors. |
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43 c |
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44 c LDV Integer. (INPUT) |
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45 c Leading dimension of V exactly as declared in the calling |
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46 c program. |
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47 c |
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48 c H Real (NEV+NP) by 2 array. (OUTPUT) |
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49 c H is used to store the generated symmetric tridiagonal matrix |
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50 c The subdiagonal is stored in the first column of H starting |
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51 c at H(2,1). The main diagonal is stored in the second column |
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52 c of H starting at H(1,2). If ssaup2 converges store the |
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53 c B-norm of the final residual vector in H(1,1). |
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54 c |
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55 c LDH Integer. (INPUT) |
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56 c Leading dimension of H exactly as declared in the calling |
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57 c program. |
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58 c |
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59 c RITZ Real array of length NEV+NP. (OUTPUT) |
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60 c RITZ(1:NEV) contains the computed Ritz values of OP. |
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61 c |
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62 c BOUNDS Real array of length NEV+NP. (OUTPUT) |
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63 c BOUNDS(1:NEV) contain the error bounds corresponding to RITZ. |
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64 c |
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65 c Q Real (NEV+NP) by (NEV+NP) array. (WORKSPACE) |
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66 c Private (replicated) work array used to accumulate the |
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67 c rotation in the shift application step. |
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68 c |
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69 c LDQ Integer. (INPUT) |
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70 c Leading dimension of Q exactly as declared in the calling |
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71 c program. |
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72 c |
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73 c WORKL Real array of length at least 3*(NEV+NP). (INPUT/WORKSPACE) |
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74 c Private (replicated) array on each PE or array allocated on |
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75 c the front end. It is used in the computation of the |
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76 c tridiagonal eigenvalue problem, the calculation and |
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77 c application of the shifts and convergence checking. |
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78 c If ISHIFT .EQ. O and IDO .EQ. 3, the first NP locations |
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79 c of WORKL are used in reverse communication to hold the user |
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80 c supplied shifts. |
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81 c |
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82 c IPNTR Integer array of length 3. (OUTPUT) |
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83 c Pointer to mark the starting locations in the WORKD for |
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84 c vectors used by the Lanczos iteration. |
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85 c ------------------------------------------------------------- |
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86 c IPNTR(1): pointer to the current operand vector X. |
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87 c IPNTR(2): pointer to the current result vector Y. |
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88 c IPNTR(3): pointer to the vector B * X when used in one of |
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89 c the spectral transformation modes. X is the current |
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90 c operand. |
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91 c ------------------------------------------------------------- |
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92 c |
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93 c WORKD Real work array of length 3*N. (REVERSE COMMUNICATION) |
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94 c Distributed array to be used in the basic Lanczos iteration |
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95 c for reverse communication. The user should not use WORKD |
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96 c as temporary workspace during the iteration !!!!!!!!!! |
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97 c See Data Distribution Note in ssaupd. |
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98 c |
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99 c INFO Integer. (INPUT/OUTPUT) |
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100 c If INFO .EQ. 0, a randomly initial residual vector is used. |
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101 c If INFO .NE. 0, RESID contains the initial residual vector, |
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102 c possibly from a previous run. |
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103 c Error flag on output. |
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104 c = 0: Normal return. |
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105 c = 1: All possible eigenvalues of OP has been found. |
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106 c NP returns the size of the invariant subspace |
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107 c spanning the operator OP. |
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108 c = 2: No shifts could be applied. |
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109 c = -8: Error return from trid. eigenvalue calculation; |
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110 c This should never happen. |
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111 c = -9: Starting vector is zero. |
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112 c = -9999: Could not build an Lanczos factorization. |
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113 c Size that was built in returned in NP. |
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114 c |
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115 c\EndDoc |
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116 c |
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117 c----------------------------------------------------------------------- |
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118 c |
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119 c\BeginLib |
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120 c |
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121 c\References: |
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122 c 1. D.C. Sorensen, "Implicit Application of Polynomial Filters in |
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123 c a k-Step Arnoldi Method", SIAM J. Matr. Anal. Apps., 13 (1992), |
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124 c pp 357-385. |
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125 c 2. R.B. Lehoucq, "Analysis and Implementation of an Implicitly |
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126 c Restarted Arnoldi Iteration", Rice University Technical Report |
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127 c TR95-13, Department of Computational and Applied Mathematics. |
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128 c 3. B.N. Parlett, "The Symmetric Eigenvalue Problem". Prentice-Hall, |
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129 c 1980. |
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130 c 4. B.N. Parlett, B. Nour-Omid, "Towards a Black Box Lanczos Program", |
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131 c Computer Physics Communications, 53 (1989), pp 169-179. |
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132 c 5. B. Nour-Omid, B.N. Parlett, T. Ericson, P.S. Jensen, "How to |
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133 c Implement the Spectral Transformation", Math. Comp., 48 (1987), |
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134 c pp 663-673. |
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135 c 6. R.G. Grimes, J.G. Lewis and H.D. Simon, "A Shifted Block Lanczos |
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136 c Algorithm for Solving Sparse Symmetric Generalized Eigenproblems", |
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137 c SIAM J. Matr. Anal. Apps., January (1993). |
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138 c 7. L. Reichel, W.B. Gragg, "Algorithm 686: FORTRAN Subroutines |
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139 c for Updating the QR decomposition", ACM TOMS, December 1990, |
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140 c Volume 16 Number 4, pp 369-377. |
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141 c |
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142 c\Routines called: |
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143 c sgetv0 ARPACK initial vector generation routine. |
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144 c ssaitr ARPACK Lanczos factorization routine. |
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145 c ssapps ARPACK application of implicit shifts routine. |
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146 c ssconv ARPACK convergence of Ritz values routine. |
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147 c sseigt ARPACK compute Ritz values and error bounds routine. |
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148 c ssgets ARPACK reorder Ritz values and error bounds routine. |
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149 c ssortr ARPACK sorting routine. |
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150 c ivout ARPACK utility routine that prints integers. |
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151 c arscnd ARPACK utility routine for timing. |
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152 c svout ARPACK utility routine that prints vectors. |
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153 c slamch LAPACK routine that determines machine constants. |
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154 c scopy Level 1 BLAS that copies one vector to another. |
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155 c sdot Level 1 BLAS that computes the scalar product of two vectors. |
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156 c snrm2 Level 1 BLAS that computes the norm of a vector. |
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157 c sscal Level 1 BLAS that scales a vector. |
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158 c sswap Level 1 BLAS that swaps two vectors. |
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159 c |
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160 c\Author |
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161 c Danny Sorensen Phuong Vu |
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162 c Richard Lehoucq CRPC / Rice University |
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163 c Dept. of Computational & Houston, Texas |
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164 c Applied Mathematics |
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165 c Rice University |
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166 c Houston, Texas |
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167 c |
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168 c\Revision history: |
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169 c 12/15/93: Version ' 2.4' |
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170 c xx/xx/95: Version ' 2.4'. (R.B. Lehoucq) |
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171 c |
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172 c\SCCS Information: @(#) |
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173 c FILE: saup2.F SID: 2.7 DATE OF SID: 5/19/98 RELEASE: 2 |
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174 c |
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175 c\EndLib |
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176 c |
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177 c----------------------------------------------------------------------- |
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178 c |
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179 subroutine ssaup2 |
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180 & ( ido, bmat, n, which, nev, np, tol, resid, mode, iupd, |
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181 & ishift, mxiter, v, ldv, h, ldh, ritz, bounds, |
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182 & q, ldq, workl, ipntr, workd, info ) |
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183 c |
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184 c %----------------------------------------------------% |
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185 c | Include files for debugging and timing information | |
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186 c %----------------------------------------------------% |
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187 c |
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188 include 'debug.h' |
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189 include 'stat.h' |
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190 c |
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191 c %------------------% |
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192 c | Scalar Arguments | |
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193 c %------------------% |
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194 c |
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195 character bmat*1, which*2 |
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196 integer ido, info, ishift, iupd, ldh, ldq, ldv, mxiter, |
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197 & n, mode, nev, np |
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198 Real |
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199 & tol |
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200 c |
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201 c %-----------------% |
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202 c | Array Arguments | |
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203 c %-----------------% |
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204 c |
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205 integer ipntr(3) |
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206 Real |
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207 & bounds(nev+np), h(ldh,2), q(ldq,nev+np), resid(n), |
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208 & ritz(nev+np), v(ldv,nev+np), workd(3*n), |
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209 & workl(3*(nev+np)) |
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210 c |
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211 c %------------% |
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212 c | Parameters | |
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213 c %------------% |
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214 c |
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215 Real |
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216 & one, zero |
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217 parameter (one = 1.0E+0, zero = 0.0E+0) |
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218 c |
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219 c %---------------% |
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220 c | Local Scalars | |
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221 c %---------------% |
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222 c |
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223 character wprime*2 |
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224 logical cnorm, getv0, initv, update, ushift |
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225 integer ierr, iter, j, kplusp, msglvl, nconv, nevbef, nev0, |
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226 & np0, nptemp, nevd2, nevm2, kp(3) |
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227 Real |
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228 & rnorm, temp, eps23 |
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229 save cnorm, getv0, initv, update, ushift, |
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230 & iter, kplusp, msglvl, nconv, nev0, np0, |
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231 & rnorm, eps23 |
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232 c |
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233 c %----------------------% |
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234 c | External Subroutines | |
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235 c %----------------------% |
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236 c |
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237 external scopy, sgetv0, ssaitr, sscal, ssconv, sseigt, ssgets, |
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238 & ssapps, ssortr, svout, ivout, arscnd, sswap |
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239 c |
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240 c %--------------------% |
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241 c | External Functions | |
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242 c %--------------------% |
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243 c |
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244 Real |
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245 & sdot, snrm2, slamch |
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246 external sdot, snrm2, slamch |
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247 c |
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248 c %---------------------% |
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249 c | Intrinsic Functions | |
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250 c %---------------------% |
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251 c |
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252 intrinsic min |
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253 c |
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254 c %-----------------------% |
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255 c | Executable Statements | |
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256 c %-----------------------% |
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257 c |
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258 if (ido .eq. 0) then |
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259 c |
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260 c %-------------------------------% |
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261 c | Initialize timing statistics | |
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262 c | & message level for debugging | |
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263 c %-------------------------------% |
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264 c |
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265 call arscnd (t0) |
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266 msglvl = msaup2 |
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267 c |
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268 c %---------------------------------% |
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269 c | Set machine dependent constant. | |
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270 c %---------------------------------% |
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271 c |
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272 eps23 = slamch('Epsilon-Machine') |
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273 eps23 = eps23**(2.0E+0/3.0E+0) |
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274 c |
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275 c %-------------------------------------% |
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276 c | nev0 and np0 are integer variables | |
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277 c | hold the initial values of NEV & NP | |
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278 c %-------------------------------------% |
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279 c |
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280 nev0 = nev |
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281 np0 = np |
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282 c |
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283 c %-------------------------------------% |
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284 c | kplusp is the bound on the largest | |
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285 c | Lanczos factorization built. | |
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286 c | nconv is the current number of | |
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287 c | "converged" eigenvlues. | |
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288 c | iter is the counter on the current | |
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289 c | iteration step. | |
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290 c %-------------------------------------% |
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291 c |
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292 kplusp = nev0 + np0 |
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293 nconv = 0 |
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294 iter = 0 |
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295 c |
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296 c %--------------------------------------------% |
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297 c | Set flags for computing the first NEV steps | |
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298 c | of the Lanczos factorization. | |
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299 c %--------------------------------------------% |
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300 c |
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301 getv0 = .true. |
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302 update = .false. |
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303 ushift = .false. |
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304 cnorm = .false. |
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305 c |
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306 if (info .ne. 0) then |
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307 c |
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308 c %--------------------------------------------% |
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309 c | User provides the initial residual vector. | |
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310 c %--------------------------------------------% |
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311 c |
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312 initv = .true. |
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313 info = 0 |
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314 else |
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315 initv = .false. |
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316 end if |
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317 end if |
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318 c |
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319 c %---------------------------------------------% |
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320 c | Get a possibly random starting vector and | |
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321 c | force it into the range of the operator OP. | |
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322 c %---------------------------------------------% |
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323 c |
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324 10 continue |
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325 c |
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326 if (getv0) then |
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327 call sgetv0 (ido, bmat, 1, initv, n, 1, v, ldv, resid, rnorm, |
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328 & ipntr, workd, info) |
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329 c |
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330 if (ido .ne. 99) go to 9000 |
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331 c |
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332 if (rnorm .eq. zero) then |
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333 c |
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334 c %-----------------------------------------% |
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335 c | The initial vector is zero. Error exit. | |
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336 c %-----------------------------------------% |
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337 c |
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338 info = -9 |
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339 go to 1200 |
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340 end if |
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341 getv0 = .false. |
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342 ido = 0 |
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343 end if |
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344 c |
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345 c %------------------------------------------------------------% |
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346 c | Back from reverse communication: continue with update step | |
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347 c %------------------------------------------------------------% |
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348 c |
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349 if (update) go to 20 |
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350 c |
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351 c %-------------------------------------------% |
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352 c | Back from computing user specified shifts | |
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353 c %-------------------------------------------% |
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354 c |
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355 if (ushift) go to 50 |
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356 c |
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357 c %-------------------------------------% |
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358 c | Back from computing residual norm | |
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359 c | at the end of the current iteration | |
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360 c %-------------------------------------% |
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361 c |
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362 if (cnorm) go to 100 |
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363 c |
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364 c %----------------------------------------------------------% |
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365 c | Compute the first NEV steps of the Lanczos factorization | |
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366 c %----------------------------------------------------------% |
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367 c |
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368 call ssaitr (ido, bmat, n, 0, nev0, mode, resid, rnorm, v, ldv, |
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369 & h, ldh, ipntr, workd, info) |
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370 c |
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371 c %---------------------------------------------------% |
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372 c | ido .ne. 99 implies use of reverse communication | |
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373 c | to compute operations involving OP and possibly B | |
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374 c %---------------------------------------------------% |
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375 c |
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376 if (ido .ne. 99) go to 9000 |
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377 c |
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378 if (info .gt. 0) then |
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379 c |
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380 c %-----------------------------------------------------% |
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381 c | ssaitr was unable to build an Lanczos factorization | |
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382 c | of length NEV0. INFO is returned with the size of | |
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383 c | the factorization built. Exit main loop. | |
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384 c %-----------------------------------------------------% |
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385 c |
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386 np = info |
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387 mxiter = iter |
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388 info = -9999 |
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389 go to 1200 |
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390 end if |
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391 c |
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392 c %--------------------------------------------------------------% |
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393 c | | |
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394 c | M A I N LANCZOS I T E R A T I O N L O O P | |
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395 c | Each iteration implicitly restarts the Lanczos | |
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396 c | factorization in place. | |
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397 c | | |
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398 c %--------------------------------------------------------------% |
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399 c |
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400 1000 continue |
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401 c |
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402 iter = iter + 1 |
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403 c |
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404 if (msglvl .gt. 0) then |
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405 call ivout (logfil, 1, iter, ndigit, |
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406 & '_saup2: **** Start of major iteration number ****') |
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407 end if |
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408 if (msglvl .gt. 1) then |
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409 call ivout (logfil, 1, nev, ndigit, |
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410 & '_saup2: The length of the current Lanczos factorization') |
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411 call ivout (logfil, 1, np, ndigit, |
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412 & '_saup2: Extend the Lanczos factorization by') |
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413 end if |
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414 c |
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415 c %------------------------------------------------------------% |
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416 c | Compute NP additional steps of the Lanczos factorization. | |
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417 c %------------------------------------------------------------% |
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418 c |
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419 ido = 0 |
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420 20 continue |
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421 update = .true. |
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422 c |
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423 call ssaitr (ido, bmat, n, nev, np, mode, resid, rnorm, v, |
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424 & ldv, h, ldh, ipntr, workd, info) |
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425 c |
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426 c %---------------------------------------------------% |
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427 c | ido .ne. 99 implies use of reverse communication | |
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428 c | to compute operations involving OP and possibly B | |
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429 c %---------------------------------------------------% |
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430 c |
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431 if (ido .ne. 99) go to 9000 |
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432 c |
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433 if (info .gt. 0) then |
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434 c |
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435 c %-----------------------------------------------------% |
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436 c | ssaitr was unable to build an Lanczos factorization | |
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437 c | of length NEV0+NP0. INFO is returned with the size | |
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438 c | of the factorization built. Exit main loop. | |
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439 c %-----------------------------------------------------% |
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440 c |
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441 np = info |
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442 mxiter = iter |
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443 info = -9999 |
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444 go to 1200 |
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445 end if |
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446 update = .false. |
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447 c |
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448 if (msglvl .gt. 1) then |
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449 call svout (logfil, 1, rnorm, ndigit, |
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450 & '_saup2: Current B-norm of residual for factorization') |
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451 end if |
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452 c |
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453 c %--------------------------------------------------------% |
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454 c | Compute the eigenvalues and corresponding error bounds | |
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455 c | of the current symmetric tridiagonal matrix. | |
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456 c %--------------------------------------------------------% |
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457 c |
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458 call sseigt (rnorm, kplusp, h, ldh, ritz, bounds, workl, ierr) |
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459 c |
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460 if (ierr .ne. 0) then |
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461 info = -8 |
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462 go to 1200 |
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463 end if |
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464 c |
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465 c %----------------------------------------------------% |
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466 c | Make a copy of eigenvalues and corresponding error | |
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467 c | bounds obtained from _seigt. | |
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468 c %----------------------------------------------------% |
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469 c |
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470 call scopy(kplusp, ritz, 1, workl(kplusp+1), 1) |
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471 call scopy(kplusp, bounds, 1, workl(2*kplusp+1), 1) |
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472 c |
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473 c %---------------------------------------------------% |
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474 c | Select the wanted Ritz values and their bounds | |
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475 c | to be used in the convergence test. | |
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476 c | The selection is based on the requested number of | |
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477 c | eigenvalues instead of the current NEV and NP to | |
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478 c | prevent possible misconvergence. | |
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479 c | * Wanted Ritz values := RITZ(NP+1:NEV+NP) | |
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480 c | * Shifts := RITZ(1:NP) := WORKL(1:NP) | |
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481 c %---------------------------------------------------% |
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482 c |
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483 nev = nev0 |
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484 np = np0 |
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485 call ssgets (ishift, which, nev, np, ritz, bounds, workl) |
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486 c |
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487 c %-------------------% |
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488 c | Convergence test. | |
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489 c %-------------------% |
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490 c |
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491 call scopy (nev, bounds(np+1), 1, workl(np+1), 1) |
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492 call ssconv (nev, ritz(np+1), workl(np+1), tol, nconv) |
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493 c |
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494 if (msglvl .gt. 2) then |
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495 kp(1) = nev |
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496 kp(2) = np |
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497 kp(3) = nconv |
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498 call ivout (logfil, 3, kp, ndigit, |
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499 & '_saup2: NEV, NP, NCONV are') |
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500 call svout (logfil, kplusp, ritz, ndigit, |
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501 & '_saup2: The eigenvalues of H') |
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502 call svout (logfil, kplusp, bounds, ndigit, |
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503 & '_saup2: Ritz estimates of the current NCV Ritz values') |
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504 end if |
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505 c |
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506 c %---------------------------------------------------------% |
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507 c | Count the number of unwanted Ritz values that have zero | |
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508 c | Ritz estimates. If any Ritz estimates are equal to zero | |
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509 c | then a leading block of H of order equal to at least | |
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510 c | the number of Ritz values with zero Ritz estimates has | |
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511 c | split off. None of these Ritz values may be removed by | |
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512 c | shifting. Decrease NP the number of shifts to apply. If | |
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513 c | no shifts may be applied, then prepare to exit | |
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514 c %---------------------------------------------------------% |
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515 c |
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516 nptemp = np |
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517 do 30 j=1, nptemp |
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518 if (bounds(j) .eq. zero) then |
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519 np = np - 1 |
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520 nev = nev + 1 |
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521 end if |
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522 30 continue |
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523 c |
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524 if ( (nconv .ge. nev0) .or. |
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525 & (iter .gt. mxiter) .or. |
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526 & (np .eq. 0) ) then |
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527 c |
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528 c %------------------------------------------------% |
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529 c | Prepare to exit. Put the converged Ritz values | |
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530 c | and corresponding bounds in RITZ(1:NCONV) and | |
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531 c | BOUNDS(1:NCONV) respectively. Then sort. Be | |
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532 c | careful when NCONV > NP since we don't want to | |
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533 c | swap overlapping locations. | |
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534 c %------------------------------------------------% |
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535 c |
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536 if (which .eq. 'BE') then |
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537 c |
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538 c %-----------------------------------------------------% |
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539 c | Both ends of the spectrum are requested. | |
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540 c | Sort the eigenvalues into algebraically decreasing | |
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541 c | order first then swap low end of the spectrum next | |
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542 c | to high end in appropriate locations. | |
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543 c | NOTE: when np < floor(nev/2) be careful not to swap | |
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544 c | overlapping locations. | |
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545 c %-----------------------------------------------------% |
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546 c |
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547 wprime = 'SA' |
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548 call ssortr (wprime, .true., kplusp, ritz, bounds) |
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549 nevd2 = nev0 / 2 |
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550 nevm2 = nev0 - nevd2 |
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551 if ( nev .gt. 1 ) then |
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552 call sswap ( min(nevd2,np), ritz(nevm2+1), 1, |
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553 & ritz( max(kplusp-nevd2+1,kplusp-np+1) ), 1) |
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554 call sswap ( min(nevd2,np), bounds(nevm2+1), 1, |
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555 & bounds( max(kplusp-nevd2+1,kplusp-np+1)), 1) |
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556 end if |
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557 c |
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558 else |
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559 c |
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560 c %--------------------------------------------------% |
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561 c | LM, SM, LA, SA case. | |
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562 c | Sort the eigenvalues of H into the an order that | |
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563 c | is opposite to WHICH, and apply the resulting | |
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564 c | order to BOUNDS. The eigenvalues are sorted so | |
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565 c | that the wanted part are always within the first | |
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566 c | NEV locations. | |
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567 c %--------------------------------------------------% |
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568 c |
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569 if (which .eq. 'LM') wprime = 'SM' |
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570 if (which .eq. 'SM') wprime = 'LM' |
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571 if (which .eq. 'LA') wprime = 'SA' |
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572 if (which .eq. 'SA') wprime = 'LA' |
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573 c |
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574 call ssortr (wprime, .true., kplusp, ritz, bounds) |
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575 c |
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576 end if |
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577 c |
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578 c %--------------------------------------------------% |
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579 c | Scale the Ritz estimate of each Ritz value | |
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580 c | by 1 / max(eps23,magnitude of the Ritz value). | |
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581 c %--------------------------------------------------% |
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582 c |
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583 do 35 j = 1, nev0 |
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584 temp = max( eps23, abs(ritz(j)) ) |
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585 bounds(j) = bounds(j)/temp |
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586 35 continue |
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587 c |
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588 c %----------------------------------------------------% |
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589 c | Sort the Ritz values according to the scaled Ritz | |
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590 c | esitmates. This will push all the converged ones | |
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591 c | towards the front of ritzr, ritzi, bounds | |
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592 c | (in the case when NCONV < NEV.) | |
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593 c %----------------------------------------------------% |
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594 c |
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595 wprime = 'LA' |
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596 call ssortr(wprime, .true., nev0, bounds, ritz) |
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597 c |
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598 c %----------------------------------------------% |
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599 c | Scale the Ritz estimate back to its original | |
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600 c | value. | |
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601 c %----------------------------------------------% |
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602 c |
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603 do 40 j = 1, nev0 |
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604 temp = max( eps23, abs(ritz(j)) ) |
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605 bounds(j) = bounds(j)*temp |
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606 40 continue |
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607 c |
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608 c %--------------------------------------------------% |
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609 c | Sort the "converged" Ritz values again so that | |
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610 c | the "threshold" values and their associated Ritz | |
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611 c | estimates appear at the appropriate position in | |
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612 c | ritz and bound. | |
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613 c %--------------------------------------------------% |
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614 c |
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615 if (which .eq. 'BE') then |
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616 c |
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617 c %------------------------------------------------% |
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618 c | Sort the "converged" Ritz values in increasing | |
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619 c | order. The "threshold" values are in the | |
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620 c | middle. | |
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621 c %------------------------------------------------% |
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622 c |
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623 wprime = 'LA' |
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624 call ssortr(wprime, .true., nconv, ritz, bounds) |
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625 c |
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626 else |
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627 c |
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628 c %----------------------------------------------% |
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629 c | In LM, SM, LA, SA case, sort the "converged" | |
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630 c | Ritz values according to WHICH so that the | |
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631 c | "threshold" value appears at the front of | |
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632 c | ritz. | |
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633 c %----------------------------------------------% |
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634 |
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635 call ssortr(which, .true., nconv, ritz, bounds) |
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636 c |
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637 end if |
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638 c |
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639 c %------------------------------------------% |
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640 c | Use h( 1,1 ) as storage to communicate | |
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641 c | rnorm to _seupd if needed | |
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642 c %------------------------------------------% |
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643 c |
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644 h(1,1) = rnorm |
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645 c |
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646 if (msglvl .gt. 1) then |
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647 call svout (logfil, kplusp, ritz, ndigit, |
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648 & '_saup2: Sorted Ritz values.') |
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649 call svout (logfil, kplusp, bounds, ndigit, |
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650 & '_saup2: Sorted ritz estimates.') |
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651 end if |
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652 c |
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653 c %------------------------------------% |
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654 c | Max iterations have been exceeded. | |
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655 c %------------------------------------% |
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656 c |
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657 if (iter .gt. mxiter .and. nconv .lt. nev) info = 1 |
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658 c |
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659 c %---------------------% |
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660 c | No shifts to apply. | |
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John W. Eaton <jwe@octave.org>
parents:
diff
changeset
|
661 c %---------------------% |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
diff
changeset
|
662 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
|
663 if (np .eq. 0 .and. nconv .lt. nev0) info = 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
|
664 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
|
665 np = 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
|
666 go to 1100 |
9f5d2ef078e8
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 else if (nconv .lt. nev .and. ishift .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
|
669 c |
9f5d2ef078e8
import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
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changeset
|
670 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
|
671 c | Do not have all the requested eigenvalues yet. | |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
diff
changeset
|
672 c | To prevent possible stagnation, adjust the number | |
9f5d2ef078e8
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 | of Ritz values and the shifts. | |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
diff
changeset
|
674 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
|
675 c |
9f5d2ef078e8
import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
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changeset
|
676 nevbef = nev |
9f5d2ef078e8
import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
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changeset
|
677 nev = nev + min (nconv, np/2) |
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parents:
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changeset
|
678 if (nev .eq. 1 .and. kplusp .ge. 6) 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 nev = kplusp / 2 |
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parents:
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changeset
|
680 else if (nev .eq. 1 .and. kplusp .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
|
681 nev = 2 |
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John W. Eaton <jwe@octave.org>
parents:
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changeset
|
682 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:
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changeset
|
683 np = kplusp - nev |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
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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:
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changeset
|
685 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
|
686 c | If the size of NEV was just increased | |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
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changeset
|
687 c | resort the eigenvalues. | |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
diff
changeset
|
688 c %---------------------------------------% |
9f5d2ef078e8
import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
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changeset
|
689 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
|
690 if (nevbef .lt. 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
|
691 & call ssgets (ishift, which, nev, np, ritz, 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
|
692 & workl) |
9f5d2ef078e8
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 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
|
694 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
|
695 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
|
696 if (msglvl .gt. 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
|
697 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
|
698 & '_saup2: no. of "converged" Ritz values at this iter.') |
9f5d2ef078e8
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 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
|
700 kp(1) = 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
|
701 kp(2) = np |
9f5d2ef078e8
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 call ivout (logfil, 2, kp, 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
|
703 & '_saup2: NEV and NP are') |
9f5d2ef078e8
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 call svout (logfil, nev, ritz(np+1), 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
|
705 & '_saup2: "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
|
706 call svout (logfil, nev, bounds(np+1), 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
|
707 & '_saup2: Ritz estimates of the "wanted" 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
|
708 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
|
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 |
9f5d2ef078e8
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 if (ishift .eq. 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
|
713 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
|
714 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
|
715 c | User specified shifts: reverse communication to | |
9f5d2ef078e8
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 | compute the shifts. They are returned in the first | |
9f5d2ef078e8
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 | NP locations of WORKL. | |
9f5d2ef078e8
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 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
|
720 ushift = .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
|
721 ido = 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
|
722 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
|
723 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
|
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 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
|
726 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
|
727 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
|
728 c | Back from reverse communication; | |
9f5d2ef078e8
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 | User specified shifts are returned | |
9f5d2ef078e8
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 | in WORKL(1:*NP) | |
9f5d2ef078e8
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 %------------------------------------% |
9f5d2ef078e8
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 ushift = .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
|
734 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
|
735 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
|
736 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
|
737 c | Move the NP shifts to the first NP locations of RITZ to | |
9f5d2ef078e8
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 c | free up WORKL. This is for the non-exact shift case; | |
9f5d2ef078e8
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 c | in the exact shift case, ssgets already handles this. | |
9f5d2ef078e8
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 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
|
741 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
|
742 if (ishift .eq. 0) call scopy (np, workl, 1, ritz, 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
|
743 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
|
744 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
|
745 call ivout (logfil, 1, np, 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 & '_saup2: The number of shifts to apply ') |
9f5d2ef078e8
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 call svout (logfil, np, workl, 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
|
748 & '_saup2: shifts selected') |
9f5d2ef078e8
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 if (ishift .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
|
750 call svout (logfil, np, 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
|
751 & '_saup2: corresponding 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
|
752 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
|
753 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
|
754 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
|
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 | Apply the NP0 implicit shifts by QR bulge chasing. | |
9f5d2ef078e8
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 | Each shift is applied to the entire tridiagonal 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
|
758 c | The first 2*N locations of WORKD are used as 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
|
759 c | After ssapps is done, we have a Lanczos | |
9f5d2ef078e8
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 | factorization of length 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
|
761 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
|
762 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
|
763 call ssapps (n, nev, np, ritz, v, ldv, h, ldh, resid, q, 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 & workd) |
9f5d2ef078e8
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 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
|
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 c | Compute the B-norm of the updated residual. | |
9f5d2ef078e8
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 | Keep B*RESID in WORKD(1:N) to be used in | |
9f5d2ef078e8
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 | the first step of the next call to ssaitr. | |
9f5d2ef078e8
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 %---------------------------------------------% |
9f5d2ef078e8
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 |
9f5d2ef078e8
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 cnorm = .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
|
773 call arscnd (t2) |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
diff
changeset
|
774 if (bmat .eq. '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
|
775 nbx = nbx + 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 scopy (n, resid, 1, workd(n+1), 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 ipntr(1) = n + 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
|
778 ipntr(2) = 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
|
779 ido = 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
|
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 %----------------------------------% |
9f5d2ef078e8
import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
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changeset
|
782 c | Exit in order to compute B*RESID | |
9f5d2ef078e8
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 %----------------------------------% |
9f5d2ef078e8
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:
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changeset
|
785 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:
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changeset
|
786 else if (bmat .eq. 'I') 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 call scopy (n, resid, 1, workd, 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
|
788 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
|
789 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
|
790 100 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
|
791 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
|
792 c %----------------------------------% |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
diff
changeset
|
793 c | Back from reverse communication; | |
9f5d2ef078e8
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 | WORKD(1:N) := B*RESID | |
9f5d2ef078e8
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 %----------------------------------% |
9f5d2ef078e8
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 |
9f5d2ef078e8
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 if (bmat .eq. 'G') then |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
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changeset
|
798 call arscnd (t3) |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
diff
changeset
|
799 tmvbx = tmvbx + (t3 - t2) |
9f5d2ef078e8
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 end if |
9f5d2ef078e8
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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 if (bmat .eq. '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
|
803 rnorm = sdot (n, resid, 1, workd, 1) |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
diff
changeset
|
804 rnorm = sqrt(abs(rnorm)) |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
diff
changeset
|
805 else if (bmat .eq. 'I') 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
|
806 rnorm = snrm2(n, resid, 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
|
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 cnorm = .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
|
809 130 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
|
810 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
|
811 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
|
812 call svout (logfil, 1, rnorm, 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
|
813 & '_saup2: B-norm of residual for NEV factorization') |
9f5d2ef078e8
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 call svout (logfil, nev, h(1,2), 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
|
815 & '_saup2: main diagonal of compressed H 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
|
816 call svout (logfil, nev-1, h(2,1), 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
|
817 & '_saup2: subdiagonal of compressed H 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
|
818 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
|
819 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
|
820 go to 1000 |
9f5d2ef078e8
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 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
|
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 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
|
824 c | E N D O F M A I N I T E R A T I O N L O O P | |
9f5d2ef078e8
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 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
|
826 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
|
827 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
|
828 1100 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
|
829 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
|
830 mxiter = iter |
9f5d2ef078e8
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 nev = 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
|
832 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
|
833 1200 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
|
834 ido = 99 |
9f5d2ef078e8
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 %------------% |
9f5d2ef078e8
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 | 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
|
838 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
|
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 call arscnd (t1) |
9f5d2ef078e8
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John W. Eaton <jwe@octave.org>
parents:
diff
changeset
|
841 tsaup2 = t1 - t0 |
9f5d2ef078e8
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 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
|
844 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
|
845 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
|
846 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
|
847 c | End of ssaup2 | |
9f5d2ef078e8
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 %---------------% |
9f5d2ef078e8
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 |
9f5d2ef078e8
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 end |