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annotate libcruft/arpack/src/dsconv.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
9f5d2ef078e8 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: dsconv
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5 c
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6 c\Description:
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7 c Convergence testing for the symmetric Arnoldi eigenvalue routine.
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8 c
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9 c\Usage:
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10 c call dsconv
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11 c ( N, RITZ, BOUNDS, TOL, NCONV )
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12 c
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13 c\Arguments
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14 c N Integer. (INPUT)
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15 c Number of Ritz values to check for convergence.
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16 c
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17 c RITZ Double precision array of length N. (INPUT)
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18 c The Ritz values to be checked for convergence.
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19 c
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20 c BOUNDS Double precision array of length N. (INPUT)
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21 c Ritz estimates associated with the Ritz values in RITZ.
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22 c
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23 c TOL Double precision scalar. (INPUT)
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24 c Desired relative accuracy for a Ritz value to be considered
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25 c "converged".
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26 c
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27 c NCONV Integer scalar. (OUTPUT)
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28 c Number of "converged" Ritz values.
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29 c
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30 c\EndDoc
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31 c
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32 c-----------------------------------------------------------------------
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33 c
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34 c\BeginLib
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35 c
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36 c\Routines called:
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37 c arscnd ARPACK utility routine for timing.
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38 c dlamch LAPACK routine that determines machine constants.
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39 c
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40 c\Author
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41 c Danny Sorensen Phuong Vu
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42 c Richard Lehoucq CRPC / Rice University
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43 c Dept. of Computational & Houston, Texas
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44 c Applied Mathematics
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45 c Rice University
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46 c Houston, Texas
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47 c
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48 c\SCCS Information: @(#)
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49 c FILE: sconv.F SID: 2.4 DATE OF SID: 4/19/96 RELEASE: 2
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50 c
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51 c\Remarks
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52 c 1. Starting with version 2.4, this routine no longer uses the
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53 c Parlett strategy using the gap conditions.
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54 c
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55 c\EndLib
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56 c
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57 c-----------------------------------------------------------------------
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58 c
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59 subroutine dsconv (n, ritz, bounds, tol, nconv)
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60 c
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61 c %----------------------------------------------------%
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62 c | Include files for debugging and timing information |
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63 c %----------------------------------------------------%
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64 c
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65 include 'debug.h'
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66 include 'stat.h'
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67 c
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68 c %------------------%
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69 c | Scalar Arguments |
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70 c %------------------%
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71 c
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72 integer n, nconv
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73 Double precision
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74 & tol
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75 c
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76 c %-----------------%
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77 c | Array Arguments |
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78 c %-----------------%
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79 c
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80 Double precision
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81 & ritz(n), bounds(n)
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82 c
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83 c %---------------%
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84 c | Local Scalars |
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85 c %---------------%
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86 c
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87 integer i
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88 Double precision
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89 & temp, eps23
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90 c
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91 c %-------------------%
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92 c | External routines |
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93 c %-------------------%
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94 c
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95 Double precision
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96 & dlamch
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97 external dlamch
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98
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99 c %---------------------%
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100 c | Intrinsic Functions |
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101 c %---------------------%
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102 c
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103 intrinsic abs
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104 c
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105 c %-----------------------%
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106 c | Executable Statements |
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107 c %-----------------------%
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108 c
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109 call arscnd (t0)
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110 c
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111 eps23 = dlamch('Epsilon-Machine')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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112 eps23 = eps23**(2.0D+0 / 3.0D+0)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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113 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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114 nconv = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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115 do 10 i = 1, n
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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116 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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117 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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118 c | The i-th Ritz value is considered "converged" |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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119 c | when: bounds(i) .le. TOL*max(eps23, abs(ritz(i))) |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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120 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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121 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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122 temp = max( eps23, abs(ritz(i)) )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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123 if ( bounds(i) .le. tol*temp ) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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124 nconv = nconv + 1
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125 end if
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126 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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127 10 continue
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128 c
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129 call arscnd (t1)
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130 tsconv = tsconv + (t1 - t0)
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131 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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132 return
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133 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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134 c %---------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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135 c | End of dsconv |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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136 c %---------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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137 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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138 end