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 BOUNDANY 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 -REBAK , AS CALLED FROM DRIVER SUBROUTINE RSGAB. THE TQLRAT PATH USES THE EISPACK CODES REDUC2-TRED1-TQLRAT, AS CALLED FROM DRIVER SUBROUTINE RSGAB. THE IMTQL2 PATH USES THE EISPACK CODES REDUC2-TRED2-IMTQL2-REBAK . THE IMTQL1 PATH USES THE EISPACK CODES REDUC2-TRED1-IMTQL1. THE IMTQLV PATH USES THE EISPACK CODES REDUC2-TRED1-IMTQLV-TINVIT-TRBAK1-REBAK. THE TSTURM PATH USES THE EISPACK CODES REDUC2-TRED1-TSTURM-TRBAK1-REBAK . THE BISECT PATH USES THE EISPACK CODES REDUC2-TRED1-BISECT-TINVIT-TRBAK1-REBAK. THE TRIDIB PATH USES THE EISPACK CODES REDUC2-TRED1-TRIDIB-TINVIT-TRBAK1-REBAK. 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 A*B*X = (LAMBDA)*X . 0ORDER TQL2 TQLRAT IMTQL2 IMTQL1 LB UB M IMTQLV TSTURM BISECT M1 NO TRIDIB 3 0 .030 .058 0 .029 .000 -1.e+30 1.e+30 3 0 .033 0 .033 0 .033 1 3 0 .033 8 0 .029 .047 0 .060 .000 -1.e+30 1.e+30 8 0 .103 0 .031 0 .031 1 8 0 .031 15 0 .031 .047 0 .018 .000 -1.e+30 1.e+30 15 0 .121 0 .030 0 .030 1 15 0 .030 20 0 .031 .044 0 .017 .000 -1.e+30 1.e+30 20 0 .095 0 .032 0 .032 1 20 0 .032 4 0 .066 .021 0 .069 .000 -1.e+30 1.e+30 4 0 .223 0 .097 0 .097 1 4 0 .097 12 0 .018 .027 0 .019 .000 -1.e+30 1.e+30 12 0 .061 0 .021 0 .021 1 12 0 .021 5 0 .039 .041 0 .027 .000 -1.e+30 1.e+30 5 0 .034 0 .014 0 .014 1 5 0 .014 10 0 .032 .011 0 .040 .000 -1.e+30 1.e+30 10 0 .162 0 .029 0 .029 1 10 0 .029 6 0 .070 .059 0 .029 .000 -1.e+30 1.e+30 6 0 .064 0 .058 0 .058 1 6 0 .058 5 0 .055 .022 0 .072 .000 -1.e+30 1.e+30 5 0 .068 0 .068 0 .068 1 5 0 .068 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 .019 .022 0 .029 .000 -1.e+30 1.e+30 20 0 .212 0 .021 0 .021 1 20 0 .021 3 0 .091 .015 0 .056 .000 -1.e+30 1.e+30 3 0 .069 0 .075 0 .075 1 3 0 .075 5 0 .034 .050 0 .047 .000 -1.e+30 1.e+30 5 0 .053 0 .023 0 .023 1 5 0 .023 8 0 .037 .042 0 .021 .000 -1.e+30 1.e+30 8 0 .044 0 .029 0 .029 1 8 0 .029 3 0 .045 .024 0 .029 .000 -1.e+30 1.e+30 3 0 .045 0 .025 0 .025 1 3 0 .025 4 0 .067 .021 0 .063 .000 -1.e+30 1.e+30 4 0 .047 0 .095 0 .095 1 4 0 .095 6 0 .037 .060 0 .033 .000 -1.e+30 1.e+30 6 0 .041 0 .040 0 .040 1 6 0 .040 8 0 .087 .002 0 .087 .000 -1.e+30 1.e+30 8 0 .116 0 .116 0 .116 1 8 0 .116 4 0 .065 .046 0 .098 .000 -1.e+30 1.e+30 4 0 .351 0 .227 0 .227 1 4 0 .227 5 0 .044 .021 0 .062 .000 -1.e+30 1.e+30 5 0 .137 0 .046 0 .046 1 5 0 .046 0END OF DATA FOR SUBROUTINE RMATIN(RSGREADI). 1