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1996-09-28
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5KB
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69 lines
1 EXPLANATION OF COLUMN ENTRIES FOR THE SUMMARY STATISTICS
-----------------------------------------------------------------------------------------------
ORDER TQL2 TQLRAT IMTQL2 IMTQL1 LB UB M IMTQLV TSTURM BISECT M1 NO TRIDIB
-----------------------------------------------------------------------------------------------
UNDER 'ORDER' IS THE ORDER OF EACH TEST MATRIX SYSTEM.
UNDER 'TQL2 TQLRAT' ARE THREE NUMBERS. THE FIRST NUMBER, AN INTEGER, IS THE ABSOLUTE SUM OF
THE ERROR FLAGS RETURNED SEPARATELY FROM TQL2 AND TQLRAT. THE SECOND NUMBER IS THE MEASURE
OF PERFORMANCE BASED UPON THE RESIDUAL COMPUTED FOR THE TQL2 PATH. THE THIRD NUMBER
MEASURES THE AGREEMENT OF THE EIGENVALUES FROM THE TQL2 AND TQLRAT PATHS.
UNDER 'IMTQL2 IMTQL1' ARE THREE NUMBERS WITH MEANING LIKE THOSE UNDER 'TQL2 TQLRAT'.
UNDER 'LB' AND 'UB' ARE THE INPUT VARIABLES SPECIFYING THE INTERVAL TO BISECT AND TSTURM.
UNDER 'M' IS THE NUMBER OF EIGENVALUES DETERMINED BY BISECT AND TSTURM THAT LIE IN THE
INTERVAL (LB,UB).
UNDER EACH OF 'IMTQLV', 'TSTURM', 'BISECT', AND 'TRIDIB' ARE TWO NUMBERS. THE FIRST NUMBER,
AN INTEGER, IS THE ABSOLUTE SUM OF THE ERROR FLAGS RETURNED FROM THE RESPECTIVE PATH.
THE SECOND NUMBER IS THE MEASURE OF PERFORMANCE BASED UPON THE RESIDUAL COMPUTED FOR THE PATH.
UNDER 'M1' AND 'NO' ARE THE VARIABLES SPECIFYING THE LOWER BOUNDARY INDEX AND THE NUMBER
OF EIGENVALUES TO TRIDIB.
-1.0 AS THE MEASURE OF PERFORMANCE IS PRINTED IF AN ERROR IN THE CORRESPONDING PATH HAS
PREVENTED THE COMPUTATION OF THE EIGENVECTORS OR VALUES.
THE TQL2 PATH USES THE EISPACK CODES REDUC2-TRED2-TQL2 -REBAKB,
AS CALLED FROM DRIVER SUBROUTINE RSGBA.
THE TQLRAT PATH USES THE EISPACK CODES REDUC2-TRED1-TQLRAT,
AS CALLED FROM DRIVER SUBROUTINE RSGBA.
THE IMTQL2 PATH USES THE EISPACK CODES REDUC2-TRED2-IMTQL2-REBAKB.
THE IMTQL1 PATH USES THE EISPACK CODES REDUC2-TRED1-IMTQL1.
THE IMTQLV PATH USES THE EISPACK CODES REDUC2-TRED1-IMTQLV-TINVIT-TRBAK1-REBAKB.
THE TSTURM PATH USES THE EISPACK CODES REDUC2-TRED1-TSTURM-TRBAK1-REBAKB.
THE BISECT PATH USES THE EISPACK CODES REDUC2-TRED1-BISECT-TINVIT-TRBAK1-REBAKB.
THE TRIDIB PATH USES THE EISPACK CODES REDUC2-TRED1-TRIDIB-TINVIT-TRBAK1-REBAKB.
D.P. VERSION 04/15/83
1 TABULATION OF THE ERROR FLAG ERROR AND THE MEASURE OF PERFORMANCE Y FOR
THE EISPACK CODES. THIS RUN DISPLAYS THESE STATISTICS FOR THE REAL SYMMETRIC
GENERALIZED EIGENPROBLEM B*A*X = (LAMBDA)*X .
0ORDER TQL2 TQLRAT IMTQL2 IMTQL1 LB UB M IMTQLV TSTURM BISECT M1 NO TRIDIB
3 0 .034 .058 0 .029 .000 -1.e+30 1.e+30 3 0 .043 0 .043 0 .043 1 3 0 .043
8 0 .029 .047 0 .024 .000 -1.e+30 1.e+30 8 0 .055 0 .019 0 .019 1 8 0 .019
15 0 .030 .047 0 .018 .000 -1.e+30 1.e+30 15 0 .087 0 .031 0 .031 1 15 0 .031
20 0 .031 .044 0 .020 .000 -1.e+30 1.e+30 20 0 .087 0 .074 0 .073 1 20 0 .073
4 0 .050 .021 0 .051 .000 -1.e+30 1.e+30 4 0 .071 0 .040 0 .040 1 4 0 .040
12 0 .014 .027 0 .015 .000 -1.e+30 1.e+30 12 0 .076 0 .020 0 .020 1 12 0 .020
5 0 .041 .041 0 .026 .000 -1.e+30 1.e+30 5 0 .030 0 .019 0 .019 1 5 0 .019
10 0 .035 .011 0 .041 .000 -1.e+30 1.e+30 10 0 .132 0 .030 0 .030 1 10 0 .030
6 0 .071 .059 0 .023 .000 -1.e+30 1.e+30 6 0 .036 0 .032 0 .032 1 6 0 .032
5 0 .044 .022 0 .060 .000 -1.e+30 1.e+30 5 0 .060 0 .054 0 .054 1 5 0 .054
3 0 .000 .000 0 .000 .000 -1.e+30 1.e+30 3 0 .000 0 .000 0 .000 1 3 0 .000
20 0 .017 .022 0 .018 .000 -1.e+30 1.e+30 20 0 .099 0 .023 0 .023 1 20 0 .023
3 0 .089 .015 0 .052 .000 -1.e+30 1.e+30 3 0 .053 0 .059 0 .059 1 3 0 .059
5 0 .029 .050 0 .043 .000 -1.e+30 1.e+30 5 0 .044 0 .018 0 .018 1 5 0 .018
8 0 .022 .042 0 .014 .000 -1.e+30 1.e+30 8 0 .044 0 .013 0 .013 1 8 0 .013
3 0 .051 .024 0 .034 .000 -1.e+30 1.e+30 3 0 .025 0 .025 0 .025 1 3 0 .025
4 0 .035 .021 0 .035 .000 -1.e+30 1.e+30 4 0 .053 0 .056 0 .056 1 4 0 .056
6 0 .033 .060 0 .042 .000 -1.e+30 1.e+30 6 0 .048 0 .047 0 .047 1 6 0 .047
8 0 .022 .002 0 .022 .000 -1.e+30 1.e+30 8 0 .023 0 .029 0 .033 1 8 0 .033
4 0 .052 .046 0 .054 .000 -1.e+30 1.e+30 4 0 .169 0 .064 0 .064 1 4 0 .064
5 0 .051 .021 0 .059 .000 -1.e+30 1.e+30 5 0 .109 0 .051 0 .051 1 5 0 .051
0END OF DATA FOR SUBROUTINE RMATIN(RSGREADI).
1