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annotate libcruft/arpack/src/ssgets.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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1 c-----------------------------------------------------------------------
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2 c\BeginDoc
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3 c
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4 c\Name: ssgets
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5 c
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6 c\Description:
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7 c Given the eigenvalues of the symmetric tridiagonal 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: This is called even in the case of user specified shifts in
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13 c order 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 ssgets
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17 c ( ISHIFT, WHICH, KEV, NP, RITZ, BOUNDS, SHIFTS )
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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' -> KEV eigenvalues of largest magnitude are retained.
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28 c 'SM' -> KEV eigenvalues of smallest magnitude are retained.
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29 c 'LA' -> KEV eigenvalues of largest value are retained.
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30 c 'SA' -> KEV eigenvalues of smallest value are retained.
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31 c 'BE' -> KEV eigenvalues, half from each end of the spectrum.
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32 c If KEV is odd, compute one more from the high end.
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33 c
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34 c KEV Integer. (INPUT)
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35 c KEV+NP is the size of the matrix H.
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36 c
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37 c NP Integer. (INPUT)
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38 c Number of implicit shifts to be computed.
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39 c
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40 c RITZ Real array of length KEV+NP. (INPUT/OUTPUT)
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41 c On INPUT, RITZ contains the eigenvalues of H.
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42 c On OUTPUT, RITZ are sorted so that the unwanted eigenvalues
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43 c are in the first NP locations and the wanted part is in
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44 c the last KEV locations. When exact shifts are selected, the
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45 c unwanted part corresponds to the shifts to be applied.
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46 c
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47 c BOUNDS Real array of length KEV+NP. (INPUT/OUTPUT)
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48 c Error bounds corresponding to the ordering in RITZ.
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49 c
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50 c SHIFTS Real array of length NP. (INPUT/OUTPUT)
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51 c On INPUT: contains the user specified shifts if ISHIFT = 0.
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52 c On OUTPUT: contains the shifts sorted into decreasing order
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53 c of magnitude with respect to the Ritz estimates contained in
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54 c BOUNDS. If ISHIFT = 0, SHIFTS is not modified on exit.
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55 c
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56 c\EndDoc
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57 c
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58 c-----------------------------------------------------------------------
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59 c
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60 c\BeginLib
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61 c
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62 c\Local variables:
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63 c xxxxxx real
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64 c
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65 c\Routines called:
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66 c ssortr ARPACK utility sorting routine.
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67 c ivout ARPACK utility routine that prints integers.
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68 c arscnd ARPACK utility routine for timing.
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69 c svout ARPACK utility routine that prints vectors.
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70 c scopy Level 1 BLAS that copies one vector to another.
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71 c sswap Level 1 BLAS that swaps the contents of two vectors.
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72 c
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73 c\Author
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74 c Danny Sorensen Phuong Vu
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75 c Richard Lehoucq CRPC / Rice University
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76 c Dept. of Computational & Houston, Texas
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77 c Applied Mathematics
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78 c Rice University
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79 c Houston, Texas
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80 c
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81 c\Revision history:
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82 c xx/xx/93: Version ' 2.1'
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83 c
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84 c\SCCS Information: @(#)
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85 c FILE: sgets.F SID: 2.4 DATE OF SID: 4/19/96 RELEASE: 2
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86 c
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87 c\Remarks
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88 c
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89 c\EndLib
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90 c
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91 c-----------------------------------------------------------------------
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92 c
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93 subroutine ssgets ( ishift, which, kev, np, ritz, bounds, shifts )
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94 c
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95 c %----------------------------------------------------%
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96 c | Include files for debugging and timing information |
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97 c %----------------------------------------------------%
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98 c
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99 include 'debug.h'
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100 include 'stat.h'
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101 c
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102 c %------------------%
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103 c | Scalar Arguments |
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104 c %------------------%
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105 c
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106 character*2 which
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diff changeset
107 integer ishift, kev, np
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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108 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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109 c %-----------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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110 c | Array Arguments |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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111 c %-----------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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112 c
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113 Real
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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114 & bounds(kev+np), ritz(kev+np), shifts(np)
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115 c
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116 c %------------%
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117 c | Parameters |
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118 c %------------%
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119 c
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120 Real
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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121 & one, zero
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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122 parameter (one = 1.0E+0, zero = 0.0E+0)
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123 c
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124 c %---------------%
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125 c | Local Scalars |
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126 c %---------------%
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127 c
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128 integer kevd2, msglvl
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129 c
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130 c %----------------------%
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131 c | External Subroutines |
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132 c %----------------------%
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133 c
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134 external sswap, scopy, ssortr, arscnd
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135 c
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136 c %---------------------%
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137 c | Intrinsic Functions |
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138 c %---------------------%
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139 c
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140 intrinsic max, min
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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141 c
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142 c %-----------------------%
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143 c | Executable Statements |
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144 c %-----------------------%
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145 c
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146 c %-------------------------------%
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147 c | Initialize timing statistics |
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148 c | & message level for debugging |
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149 c %-------------------------------%
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150 c
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151 call arscnd (t0)
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152 msglvl = msgets
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153 c
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154 if (which .eq. 'BE') then
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155 c
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156 c %-----------------------------------------------------%
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157 c | Both ends of the spectrum are requested. |
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158 c | Sort the eigenvalues into algebraically increasing |
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159 c | order first then swap high end of the spectrum next |
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160 c | to low end in appropriate locations. |
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161 c | NOTE: when np < floor(kev/2) be careful not to swap |
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162 c | overlapping locations. |
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163 c %-----------------------------------------------------%
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164 c
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165 call ssortr ('LA', .true., kev+np, ritz, bounds)
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166 kevd2 = kev / 2
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167 if ( kev .gt. 1 ) then
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168 call sswap ( min(kevd2,np), ritz, 1,
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169 & ritz( max(kevd2,np)+1 ), 1)
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170 call sswap ( min(kevd2,np), bounds, 1,
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171 & bounds( max(kevd2,np)+1 ), 1)
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172 end if
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173 c
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174 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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175 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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176 c %----------------------------------------------------%
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177 c | LM, SM, LA, SA case. |
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178 c | Sort the eigenvalues of H into the desired order |
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179 c | and apply the resulting order to BOUNDS. |
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180 c | The eigenvalues are sorted so that the wanted part |
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181 c | are always in the last KEV locations. |
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182 c %----------------------------------------------------%
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183 c
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184 call ssortr (which, .true., kev+np, ritz, bounds)
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185 end if
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186 c
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187 if (ishift .eq. 1 .and. np .gt. 0) then
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188 c
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189 c %-------------------------------------------------------%
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190 c | Sort the unwanted Ritz values used as shifts so that |
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191 c | the ones with largest Ritz estimates are first. |
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192 c | This will tend to minimize the effects of the |
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193 c | forward instability of the iteration when the shifts |
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194 c | are applied in subroutine ssapps. |
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195 c %-------------------------------------------------------%
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196 c
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197 call ssortr ('SM', .true., np, bounds, ritz)
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198 call scopy (np, ritz, 1, shifts, 1)
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199 end if
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200 c
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201 call arscnd (t1)
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202 tsgets = tsgets + (t1 - t0)
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203 c
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204 if (msglvl .gt. 0) then
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205 call ivout (logfil, 1, kev, ndigit, '_sgets: KEV is')
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206 call ivout (logfil, 1, np, ndigit, '_sgets: NP is')
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207 call svout (logfil, kev+np, ritz, ndigit,
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208 & '_sgets: Eigenvalues of current H matrix')
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209 call svout (logfil, kev+np, bounds, ndigit,
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210 & '_sgets: Associated Ritz estimates')
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211 end if
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212 c
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213 return
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214 c
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215 c %---------------%
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216 c | End of ssgets |
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217 c %---------------%
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218 c
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219 end