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annotate libcruft/arpack/src/snconv.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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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: snconv
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5 c
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6 c\Description:
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7 c Convergence testing for the nonsymmetric Arnoldi eigenvalue routine.
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8 c
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9 c\Usage:
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10 c call snconv
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11 c ( N, RITZR, RITZI, 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 RITZR, Real arrays of length N. (INPUT)
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18 c RITZI Real and imaginary parts of the Ritz values to be checked
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19 c for convergence.
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20
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21 c BOUNDS Real array of length N. (INPUT)
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22 c Ritz estimates for the Ritz values in RITZR and RITZI.
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23 c
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24 c TOL Real scalar. (INPUT)
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25 c Desired backward error for a Ritz value to be considered
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26 c "converged".
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27 c
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28 c NCONV Integer scalar. (OUTPUT)
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29 c Number of "converged" Ritz values.
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30 c
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31 c\EndDoc
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32 c
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33 c-----------------------------------------------------------------------
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34 c
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35 c\BeginLib
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36 c
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37 c\Local variables:
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38 c xxxxxx real
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39 c
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40 c\Routines called:
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41 c arscnd ARPACK utility routine for timing.
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42 c slamch LAPACK routine that determines machine constants.
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43 c slapy2 LAPACK routine to compute sqrt(x**2+y**2) carefully.
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44 c
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45 c\Author
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46 c Danny Sorensen Phuong Vu
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47 c Richard Lehoucq CRPC / Rice University
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48 c Dept. of Computational & Houston, Texas
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49 c Applied Mathematics
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50 c Rice University
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51 c Houston, Texas
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52 c
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53 c\Revision history:
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54 c xx/xx/92: Version ' 2.1'
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55 c
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56 c\SCCS Information: @(#)
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57 c FILE: nconv.F SID: 2.3 DATE OF SID: 4/20/96 RELEASE: 2
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58 c
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59 c\Remarks
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60 c 1. xxxx
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61 c
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62 c\EndLib
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63 c
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64 c-----------------------------------------------------------------------
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65 c
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66 subroutine snconv (n, ritzr, ritzi, bounds, tol, nconv)
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67 c
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68 c %----------------------------------------------------%
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69 c | Include files for debugging and timing information |
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70 c %----------------------------------------------------%
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71 c
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72 include 'debug.h'
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73 include 'stat.h'
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74 c
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75 c %------------------%
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76 c | Scalar Arguments |
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77 c %------------------%
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78 c
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79 integer n, nconv
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80 Real
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81 & tol
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82 c
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83 c %-----------------%
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84 c | Array Arguments |
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85 c %-----------------%
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86
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87 Real
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88 & ritzr(n), ritzi(n), bounds(n)
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89 c
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90 c %---------------%
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91 c | Local Scalars |
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92 c %---------------%
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93 c
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94 integer i
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95 Real
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96 & temp, eps23
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97 c
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98 c %--------------------%
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99 c | External Functions |
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100 c %--------------------%
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101 c
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102 Real
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103 & slapy2, slamch
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104 external slapy2, slamch
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105
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106 c %-----------------------%
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107 c | Executable Statements |
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108 c %-----------------------%
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109 c
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110 c %-------------------------------------------------------------%
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111 c | Convergence test: unlike in the symmetric code, I am not |
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112 c | using things like refined error bounds and gap condition |
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113 c | because I don't know the exact equivalent concept. |
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114 c | |
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115 c | Instead the i-th Ritz value is considered "converged" when: |
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116 c | |
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117 c | bounds(i) .le. ( TOL * | ritz | ) |
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118 c | |
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119 c | for some appropriate choice of norm. |
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120 c %-------------------------------------------------------------%
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121 c
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122 call arscnd (t0)
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123 c
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124 c %---------------------------------%
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125 c | Get machine dependent constant. |
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126 c %---------------------------------%
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127 c
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128 eps23 = slamch('Epsilon-Machine')
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129 eps23 = eps23**(2.0E+0 / 3.0E+0)
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130 c
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131 nconv = 0
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132 do 20 i = 1, n
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133 temp = max( eps23, slapy2( ritzr(i), ritzi(i) ) )
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134 if (bounds(i) .le. tol*temp) nconv = nconv + 1
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135 20 continue
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136 c
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137 call arscnd (t1)
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138 tnconv = tnconv + (t1 - t0)
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139 c
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140 return
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141 c
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142 c %---------------%
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143 c | End of snconv |
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144 c %---------------%
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145 c
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146 end