1 EXPLANATION OF COLUMN ENTRIES FOR THE SUMMARY STATISTICS ----------------------------------------------------------------------------------------------- ORDER B.W. TQL2 TQLRAT IMTQL2 IMTQL1 LB UB M IMTQLV BISECT M1 NO TRIDIB BQR ----------------------------------------------------------------------------------------------- UNDER 'ORDER' IS THE ORDER OF EACH TEST MATRIX. UNDER 'B.W.' IS THE HALF BAND WIDTH OF THE MATRIX. 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. UNDER 'M' IS THE NUMBER OF EIGENVALUES DETERMINED BY BISECT THAT LIE IN THE INTERVAL (LB,UB). UNDER EACH OF 'IMTQLV', 'BISECT', 'TRIDIB', AND 'BQR' 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. THE TQL2 PATH USES THE EISPACK CODES BANDR-TQL2 , AS CALLED FROM DRIVER SUBROUTINE RSB. THE TQLRAT PATH USES THE EISPACK CODES BANDR-TQLRAT, AS CALLED FROM DRIVER SUBROUTINE RSB. THE IMTQL2 PATH USES THE EISPACK CODES BANDR-IMTQL2. THE IMTQL1 PATH USES THE EISPACK CODES BANDR-IMTQL1. THE IMTQLV PATH USES THE EISPACK CODES BANDR-IMTQLV-BANDV. THE BISECT PATH USES THE EISPACK CODES BANDR-BISECT-BANDV. THE TRIDIB PATH USES THE EISPACK CODES BANDR-TRIDIB-BANDV. THE BQR PATH USES THE EISPACK CODES BQR -BANDV. 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 REAL SYMMETRIC BAND MATRICES. 0ORDER B.W. TQL2 TQLRAT IMTQL2 IMTQL1 LB UB M IMTQLV BISECT M1 NO TRIDIB BQR 3 3 0 .038 .040 0 .012 .000 -1.e+30 1.e+30 3 0 .067 0 .067 1 3 0 .067 0 .154 4 4 0 .027 .040 0 .032 .000 -1.e+30 1.e+30 4 0 .040 0 .095 1 4 0 .095 0 .577 5 5 0 .026 .021 0 .029 .000 -1.e+30 1.e+30 5 0 .110 0 .044 1 5 0 .044 0 .340 7 3 0 .028 .023 0 .025 .000 -1.e+30 1.e+30 7 0 .096 0 .072 1 7 0 .072 0 .610 44 4 0 .019 .013 0 .022 .000 -1.e+30 1.e+30 44 0 .981 0 .344 1 44 0 .344 0 4.265 30 4 0 .026 .014 0 .025 .000 -1.e+30 1.e+30 30 0 .374 0 .363 1 30 0 .363 0 5.393 3 2 0 .013 .020 0 .020 .000 -1.e+30 1.e+30 3 0 .075 0 .095 1 3 0 .095 0 .531 12 5 0 .021 .014 0 .024 .000 -1.e+30 1.e+30 12 0 .387 0 .133 1 12 0 .133 0 1.871 0END OF DATA FOR SUBROUTINE RMATIN(RSBREADI). 1