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annotate libcruft/arpack/src/cngets.f @ 12274:9f5d2ef078e8 release-3-4-x

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import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
author John W. Eaton <jwe@octave.org>
date Fri, 28 Jan 2011 14:04:33 -0500
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12274
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1 c\BeginDoc
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2 c
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3 c\Name: cngets
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4 c
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5 c\Description:
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6 c Given the eigenvalues of the upper Hessenberg matrix H,
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7 c computes the NP shifts AMU that are zeros of the polynomial of
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8 c degree NP which filters out components of the unwanted eigenvectors
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9 c corresponding to the AMU's based on some given criteria.
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10 c
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11 c NOTE: call this even in the case of user specified shifts in order
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12 c to sort the eigenvalues, and error bounds of H for later use.
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13 c
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14 c\Usage:
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15 c call cngets
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16 c ( ISHIFT, WHICH, KEV, NP, RITZ, BOUNDS )
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17 c
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18 c\Arguments
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19 c ISHIFT Integer. (INPUT)
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20 c Method for selecting the implicit shifts at each iteration.
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21 c ISHIFT = 0: user specified shifts
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22 c ISHIFT = 1: exact shift with respect to the matrix H.
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23 c
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24 c WHICH Character*2. (INPUT)
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25 c Shift selection criteria.
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26 c 'LM' -> want the KEV eigenvalues of largest magnitude.
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27 c 'SM' -> want the KEV eigenvalues of smallest magnitude.
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28 c 'LR' -> want the KEV eigenvalues of largest REAL part.
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29 c 'SR' -> want the KEV eigenvalues of smallest REAL part.
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30 c 'LI' -> want the KEV eigenvalues of largest imaginary part.
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31 c 'SI' -> want the KEV eigenvalues of smallest imaginary part.
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32 c
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33 c KEV Integer. (INPUT)
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34 c The number of desired eigenvalues.
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35 c
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36 c NP Integer. (INPUT)
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37 c The number of shifts to compute.
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38 c
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39 c RITZ Complex array of length KEV+NP. (INPUT/OUTPUT)
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40 c On INPUT, RITZ contains the the eigenvalues of H.
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41 c On OUTPUT, RITZ are sorted so that the unwanted
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42 c eigenvalues are in the first NP locations and the wanted
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43 c portion is in the last KEV locations. When exact shifts are
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44 c selected, the unwanted part corresponds to the shifts to
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45 c be applied. Also, if ISHIFT .eq. 1, the unwanted eigenvalues
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46 c are further sorted so that the ones with largest Ritz values
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47 c are first.
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48 c
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49 c BOUNDS Complex array of length KEV+NP. (INPUT/OUTPUT)
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50 c Error bounds corresponding to the ordering in RITZ.
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51 c
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52 c
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53 c
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54 c\EndDoc
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55 c
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56 c-----------------------------------------------------------------------
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57 c
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58 c\BeginLib
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59 c
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60 c\Local variables:
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61 c xxxxxx Complex
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62 c
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63 c\Routines called:
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64 c csortc ARPACK sorting routine.
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65 c ivout ARPACK utility routine that prints integers.
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66 c arscnd ARPACK utility routine for timing.
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67 c cvout ARPACK utility routine that prints vectors.
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68 c
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69 c\Author
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70 c Danny Sorensen Phuong Vu
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71 c Richard Lehoucq CRPC / Rice University
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72 c Dept. of Computational & Houston, Texas
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73 c Applied Mathematics
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74 c Rice University
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75 c Houston, Texas
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76 c
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77 c\SCCS Information: @(#)
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78 c FILE: ngets.F SID: 2.2 DATE OF SID: 4/20/96 RELEASE: 2
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79 c
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80 c\Remarks
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81 c 1. This routine does not keep complex conjugate pairs of
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82 c eigenvalues together.
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83 c
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84 c\EndLib
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85 c
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86 c-----------------------------------------------------------------------
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87 c
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88 subroutine cngets ( ishift, which, kev, np, ritz, bounds)
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89 c
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90 c %----------------------------------------------------%
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91 c | Include files for debugging and timing information |
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92 c %----------------------------------------------------%
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93 c
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94 include 'debug.h'
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95 include 'stat.h'
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96 c
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97 c %------------------%
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98 c | Scalar Arguments |
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99 c %------------------%
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100 c
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101 character*2 which
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102 integer ishift, kev, np
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103 c
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104 c %-----------------%
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105 c | Array Arguments |
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106 c %-----------------%
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107 c
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108 Complex
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109 & bounds(kev+np), ritz(kev+np)
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110 c
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111 c %------------%
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112 c | Parameters |
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113 c %------------%
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114 c
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115 Complex
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116 & one, zero
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117 parameter (one = (1.0E+0, 0.0E+0), zero = (0.0E+0, 0.0E+0))
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118 c
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119 c %---------------%
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120 c | Local Scalars |
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121 c %---------------%
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122 c
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123 integer msglvl
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124 c
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125 c %----------------------%
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126 c | External Subroutines |
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127 c %----------------------%
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128 c
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129 external cvout, csortc, arscnd
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130 c
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131 c %-----------------------%
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132 c | Executable Statements |
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133 c %-----------------------%
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134 c
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135 c %-------------------------------%
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136 c | Initialize timing statistics |
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137 c | & message level for debugging |
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138 c %-------------------------------%
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139 c
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140 call arscnd (t0)
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141 msglvl = mcgets
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142 c
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143 call csortc (which, .true., kev+np, ritz, bounds)
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144 c
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145 if ( ishift .eq. 1 ) then
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146 c
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147 c %-------------------------------------------------------%
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148 c | Sort the unwanted Ritz values used as shifts so that |
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149 c | the ones with largest Ritz estimates are first |
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150 c | This will tend to minimize the effects of the |
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151 c | forward instability of the iteration when the shifts |
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152 c | are applied in subroutine cnapps. |
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153 c | Be careful and use 'SM' since we want to sort BOUNDS! |
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154 c %-------------------------------------------------------%
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155 c
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156 call csortc ( 'SM', .true., np, bounds, ritz )
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157 c
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158 end if
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159 c
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160 call arscnd (t1)
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161 tcgets = tcgets + (t1 - t0)
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162 c
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163 if (msglvl .gt. 0) then
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164 call ivout (logfil, 1, kev, ndigit, '_ngets: KEV is')
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165 call ivout (logfil, 1, np, ndigit, '_ngets: NP is')
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166 call cvout (logfil, kev+np, ritz, ndigit,
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167 & '_ngets: Eigenvalues of current H matrix ')
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168 call cvout (logfil, kev+np, bounds, ndigit,
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169 & '_ngets: Ritz estimates of the current KEV+NP Ritz values')
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170 end if
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171 c
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172 return
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173 c
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174 c %---------------%
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175 c | End of cngets |
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176 c %---------------%
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177 c
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178 end