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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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1 c-----------------------------------------------------------------------
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2 c\BeginDoc
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3 c
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4 c\Name: dngets
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5 c
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6 c\Description:
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7 c Given the eigenvalues of the upper Hessenberg matrix H,
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8 c computes the NP shifts AMU that are zeros of the polynomial of
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9 c degree NP which filters out components of the unwanted eigenvectors
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10 c corresponding to the AMU's based on some given criteria.
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11 c
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12 c NOTE: call this even in the case of user specified shifts in order
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13 c to sort the eigenvalues, and error bounds of H for later use.
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14 c
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15 c\Usage:
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16 c call dngets
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17 c ( ISHIFT, WHICH, KEV, NP, RITZR, RITZI, BOUNDS, SHIFTR, SHIFTI )
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18 c
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19 c\Arguments
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20 c ISHIFT Integer. (INPUT)
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21 c Method for selecting the implicit shifts at each iteration.
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22 c ISHIFT = 0: user specified shifts
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23 c ISHIFT = 1: exact shift with respect to the matrix H.
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24 c
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25 c WHICH Character*2. (INPUT)
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26 c Shift selection criteria.
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27 c 'LM' -> want the KEV eigenvalues of largest magnitude.
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28 c 'SM' -> want the KEV eigenvalues of smallest magnitude.
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29 c 'LR' -> want the KEV eigenvalues of largest real part.
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30 c 'SR' -> want the KEV eigenvalues of smallest real part.
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31 c 'LI' -> want the KEV eigenvalues of largest imaginary part.
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32 c 'SI' -> want the KEV eigenvalues of smallest imaginary part.
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33 c
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34 c KEV Integer. (INPUT/OUTPUT)
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35 c INPUT: KEV+NP is the size of the matrix H.
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36 c OUTPUT: Possibly increases KEV by one to keep complex conjugate
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37 c pairs together.
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38 c
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39 c NP Integer. (INPUT/OUTPUT)
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40 c Number of implicit shifts to be computed.
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41 c OUTPUT: Possibly decreases NP by one to keep complex conjugate
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42 c pairs together.
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43 c
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44 c RITZR, Double precision array of length KEV+NP. (INPUT/OUTPUT)
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45 c RITZI On INPUT, RITZR and RITZI contain the real and imaginary
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46 c parts of the eigenvalues of H.
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47 c On OUTPUT, RITZR and RITZI are sorted so that the unwanted
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48 c eigenvalues are in the first NP locations and the wanted
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49 c portion is in the last KEV locations. When exact shifts are
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50 c selected, the unwanted part corresponds to the shifts to
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51 c be applied. Also, if ISHIFT .eq. 1, the unwanted eigenvalues
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52 c are further sorted so that the ones with largest Ritz values
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53 c are first.
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54 c
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55 c BOUNDS Double precision array of length KEV+NP. (INPUT/OUTPUT)
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56 c Error bounds corresponding to the ordering in RITZ.
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57 c
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58 c SHIFTR, SHIFTI *** USE deprecated as of version 2.1. ***
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59 c
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60 c
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61 c\EndDoc
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62 c
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63 c-----------------------------------------------------------------------
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64 c
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65 c\BeginLib
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66 c
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67 c\Local variables:
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68 c xxxxxx real
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69 c
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70 c\Routines called:
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71 c dsortc ARPACK sorting routine.
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72 c dcopy Level 1 BLAS that copies one vector to another .
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73 c
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74 c\Author
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75 c Danny Sorensen Phuong Vu
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76 c Richard Lehoucq CRPC / Rice University
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77 c Dept. of Computational & Houston, Texas
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78 c Applied Mathematics
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79 c Rice University
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80 c Houston, Texas
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81 c
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82 c\Revision history:
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83 c xx/xx/92: Version ' 2.1'
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84 c
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85 c\SCCS Information: @(#)
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86 c FILE: ngets.F SID: 2.3 DATE OF SID: 4/20/96 RELEASE: 2
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87 c
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88 c\Remarks
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89 c 1. xxxx
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90 c
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91 c\EndLib
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92 c
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93 c-----------------------------------------------------------------------
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94 c
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95 subroutine dngets ( ishift, which, kev, np, ritzr, ritzi, bounds,
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96 & shiftr, shifti )
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97 c
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98 c %----------------------------------------------------%
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99 c | Include files for debugging and timing information |
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100 c %----------------------------------------------------%
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101 c
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102 include 'debug.h'
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103 include 'stat.h'
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104 c
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105 c %------------------%
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106 c | Scalar Arguments |
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107 c %------------------%
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108 c
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109 character*2 which
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110 integer ishift, kev, np
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111 c
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112 c %-----------------%
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113 c | Array Arguments |
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114 c %-----------------%
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115 c
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116 Double precision
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117 & bounds(kev+np), ritzr(kev+np), ritzi(kev+np),
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118 & shiftr(1), shifti(1)
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119 c
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120 c %------------%
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121 c | Parameters |
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122 c %------------%
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123 c
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124 Double precision
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125 & one, zero
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126 parameter (one = 1.0, zero = 0.0)
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127 c
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128 c %---------------%
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129 c | Local Scalars |
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130 c %---------------%
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131 c
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132 integer msglvl
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133 c
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134 c %----------------------%
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135 c | External Subroutines |
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136 c %----------------------%
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137 c
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138 external dcopy, dsortc, arscnd
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139 c
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140 c %----------------------%
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141 c | Intrinsics Functions |
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142 c %----------------------%
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143 c
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144 intrinsic abs
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145 c
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146 c %-----------------------%
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147 c | Executable Statements |
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148 c %-----------------------%
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149 c
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150 c %-------------------------------%
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151 c | Initialize timing statistics |
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152 c | & message level for debugging |
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153 c %-------------------------------%
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154 c
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155 call arscnd (t0)
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156 msglvl = mngets
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157 c
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158 c %----------------------------------------------------%
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159 c | LM, SM, LR, SR, LI, SI case. |
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160 c | Sort the eigenvalues of H into the desired order |
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161 c | and apply the resulting order to BOUNDS. |
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162 c | The eigenvalues are sorted so that the wanted part |
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163 c | are always in the last KEV locations. |
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164 c | We first do a pre-processing sort in order to keep |
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165 c | complex conjugate pairs together |
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166 c %----------------------------------------------------%
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167 c
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168 if (which .eq. 'LM') then
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169 call dsortc ('LR', .true., kev+np, ritzr, ritzi, bounds)
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170 else if (which .eq. 'SM') then
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171 call dsortc ('SR', .true., kev+np, ritzr, ritzi, bounds)
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172 else if (which .eq. 'LR') then
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173 call dsortc ('LM', .true., kev+np, ritzr, ritzi, bounds)
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174 else if (which .eq. 'SR') then
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175 call dsortc ('SM', .true., kev+np, ritzr, ritzi, bounds)
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176 else if (which .eq. 'LI') then
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177 call dsortc ('LM', .true., kev+np, ritzr, ritzi, bounds)
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178 else if (which .eq. 'SI') then
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179 call dsortc ('SM', .true., kev+np, ritzr, ritzi, bounds)
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180 end if
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181 c
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182 call dsortc (which, .true., kev+np, ritzr, ritzi, bounds)
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183 c
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184 c %-------------------------------------------------------%
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185 c | Increase KEV by one if the ( ritzr(np),ritzi(np) ) |
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186 c | = ( ritzr(np+1),-ritzi(np+1) ) and ritz(np) .ne. zero |
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187 c | Accordingly decrease NP by one. In other words keep |
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188 c | complex conjugate pairs together. |
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189 c %-------------------------------------------------------%
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190 c
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191 if ( ( ritzr(np+1) - ritzr(np) ) .eq. zero
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192 & .and. ( ritzi(np+1) + ritzi(np) ) .eq. zero ) then
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193 np = np - 1
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194 kev = kev + 1
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195 end if
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196 c
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197 if ( ishift .eq. 1 ) then
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198 c
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199 c %-------------------------------------------------------%
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200 c | Sort the unwanted Ritz values used as shifts so that |
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201 c | the ones with largest Ritz estimates are first |
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202 c | This will tend to minimize the effects of the |
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203 c | forward instability of the iteration when they shifts |
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204 c | are applied in subroutine dnapps. |
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205 c | Be careful and use 'SR' since we want to sort BOUNDS! |
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206 c %-------------------------------------------------------%
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207 c
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208 call dsortc ( 'SR', .true., np, bounds, ritzr, ritzi )
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209 end if
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210 c
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211 call arscnd (t1)
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212 tngets = tngets + (t1 - t0)
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213 c
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214 if (msglvl .gt. 0) then
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215 call ivout (logfil, 1, kev, ndigit, '_ngets: KEV is')
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216 call ivout (logfil, 1, np, ndigit, '_ngets: NP is')
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217 call dvout (logfil, kev+np, ritzr, ndigit,
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218 & '_ngets: Eigenvalues of current H matrix -- real part')
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219 call dvout (logfil, kev+np, ritzi, ndigit,
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220 & '_ngets: Eigenvalues of current H matrix -- imag part')
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221 call dvout (logfil, kev+np, bounds, ndigit,
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222 & '_ngets: Ritz estimates of the current KEV+NP Ritz values')
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223 end if
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224 c
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225 return
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226 c
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227 c %---------------%
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228 c | End of dngets |
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229 c %---------------%
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230 c
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231 end