1THE FULL MATRIX A OF ORDER 4 IS (PRINTED BY ROWS) A 1 1 1.00000000000000 4.00000000000000 A 1 2 2.00000000000000 4.00000000000000 A 1 3 3.00000000000000 4.00000000000000 A 1 4 4.00000000000000 4.00000000000000 A 2 1 2.00000000000000 4.00000000000000 A 2 2 2.00000000000000 3.00000000000000 A 2 3 3.00000000000000 3.00000000000000 A 2 4 4.00000000000000 3.00000000000000 A 3 1 3.00000000000000 4.00000000000000 A 3 2 3.00000000000000 3.00000000000000 A 3 3 3.00000000000000 2.00000000000000 A 3 4 4.00000000000000 2.00000000000000 A 4 1 4.00000000000000 4.00000000000000 A 4 2 4.00000000000000 3.00000000000000 A 4 3 4.00000000000000 2.00000000000000 A 4 4 4.00000000000000 1.00000000000000 0THE FULL MATRIX B OF ORDER 4 IS (PRINTED BY ROWS) B 1 1 1.00000000000000 0.00000000000000 B 1 2 0.00000000000000 0.00000000000000 B 1 3 0.00000000000000 0.00000000000000 B 1 4 0.00000000000000 0.00000000000000 B 2 1 0.00000000000000 0.00000000000000 B 2 2 1.00000000000000 0.00000000000000 B 2 3 0.00000000000000 0.00000000000000 B 2 4 0.00000000000000 0.00000000000000 B 3 1 0.00000000000000 0.00000000000000 B 3 2 0.00000000000000 0.00000000000000 B 3 3 1.00000000000000 0.00000000000000 B 3 4 0.00000000000000 0.00000000000000 B 4 1 0.00000000000000 0.00000000000000 B 4 2 0.00000000000000 0.00000000000000 B 4 3 0.00000000000000 0.00000000000000 B 4 4 1.00000000000000 0.00000000000000 100 CONTINUE L= 1 100 CONTINUE L= 2 100 CONTINUE L= 3 150 CONTINUE, LB= 1 150 CONTINUE, LB= 2 160 CONTINUE, K= 1 150 CONTINUE, LB= 1 160 CONTINUE, K= 2 HESSENBERG RESULTS A 1 1 1.00000000000000 4.00000000000000 A 1 2 4.27086170933452 7.33298897263096 A 1 3 1.79802538194887 -1.14381426879846 A 1 4 0.288077453250149 -0.602343765886679 A 2 1 8.77496438739212 0.00000000000000 A 2 2 12.1310137395770 -2.39681649207388 A 2 3 -1.86079054431771 -3.02840669898022 A 2 4 -0.674496437823183 -0.617790985085834 A 3 1 0.00000000000000 0.00000000000000 A 3 2 1.10029971844027 0.00000000000000 A 3 3 1.00712068787387 -5.441261817086049E-002 A 3 4 0.148301345381926 -0.175377316396858 A 4 1 0.00000000000000 0.00000000000000 A 4 2 0.00000000000000 0.00000000000000 A 4 3 0.205740220735349 0.00000000000000 A 4 4 0.508918246127728 -0.203438020533362 B 1 1 1.00000000000000 0.00000000000000 B 1 2 0.00000000000000 0.00000000000000 B 1 3 0.00000000000000 0.00000000000000 B 1 4 0.00000000000000 0.00000000000000 B 2 1 0.00000000000000 0.00000000000000 B 2 2 0.707106781186547 -0.707106781186547 B 2 3 1.364619112880365E-017 -1.788521295396220E-017 B 2 4 -5.481201776584495E-017 1.069133193419711E-016 B 3 1 0.00000000000000 0.00000000000000 B 3 2 0.00000000000000 0.00000000000000 B 3 3 -0.832050294337843 0.554700196225230 B 3 4 4.813857645835640E-017 -4.218901703684219E-017 B 4 1 0.00000000000000 0.00000000000000 B 4 2 0.00000000000000 0.00000000000000 B 4 3 0.00000000000000 0.00000000000000 B 4 4 -0.435020193155971 0.900420696978108 Z 1 1 1.00000000000000 0.00000000000000 Z 1 2 0.00000000000000 0.00000000000000 Z 1 3 0.00000000000000 0.00000000000000 Z 1 4 0.00000000000000 0.00000000000000 Z 2 1 0.00000000000000 0.00000000000000 Z 2 2 0.483493778415228 0.161164592805076 Z 2 3 -0.826732914763463 -0.166718315931879 Z 2 4 0.170227586011454 0.00000000000000 Z 3 1 0.00000000000000 0.00000000000000 Z 3 2 0.564076074817766 8.058229640253804E-002 Z 3 3 0.182546004153259 6.331075288552222E-003 Z 3 4 -0.785665781591323 0.157133156318264 Z 4 1 0.00000000000000 0.00000000000000 Z 4 2 0.644658371220304 0.00000000000000 Z 4 3 0.501210127010396 -6.436593210028270E-002 Z 4 4 0.540145224844034 -0.193142837974533 L= 1 ITS 0 GO TO 70, ITS,L,EN = 1 1 4 L= 1 ITS 1 GO TO 70, ITS,L,EN = 2 1 4 L= 1 ITS 2 GO TO 70, ITS,L,EN = 3 1 4 L= 1 ITS 3 GO TO 70, ITS,L,EN = 4 1 4 L= 4 GO TO 60, EN = 3 L= 1 ITS 0 GO TO 70, ITS,L,EN = 1 1 3 L= 1 ITS 1 GO TO 70, ITS,L,EN = 2 1 3 L= 3 GO TO 60, EN = 2 L= 1 ITS 0 GO TO 70, ITS,L,EN = 1 1 2 L= 2 GO TO 60, EN = 1 L= 1 GO TO 60, EN = 0 CQZVAL RESULTS A 1 1 12.1589502925805 12.1589502925805 A 1 2 1.33129404216803 6.10368949683047 A 1 3 0.562931088505662 -0.478201299335896 A 1 4 0.525701433238712 -0.299847494634058 A 2 1 0.00000000000000 0.00000000000000 A 2 2 -1.34041559171100 -1.34041559171100 A 2 3 -7.157897112368108E-002 0.234756256590814 A 2 4 -8.889630593818906E-004 1.700078751477502E-003 A 3 1 0.00000000000000 0.00000000000000 A 3 2 0.00000000000000 0.00000000000000 A 3 3 -0.528040865561803 -0.528040865561803 A 3 4 1.328818235218098E-002 1.944181318796569E-002 A 4 1 0.00000000000000 0.00000000000000 A 4 2 0.00000000000000 0.00000000000000 A 4 3 0.00000000000000 0.00000000000000 A 4 4 -0.290493835307684 -0.290493835307684 B 1 1 1.00000000000000 0.00000000000000 B 1 2 4.098198336914680E-017 -6.693970101031787E-017 B 1 3 1.184579719483051E-017 1.594770170414880E-017 B 1 4 -1.230076701966536E-016 -3.230668116292698E-017 B 2 1 0.00000000000000 0.00000000000000 B 2 2 1.00000000000000 0.00000000000000 B 2 3 -2.084580419834575E-016 1.199088334734623E-016 B 2 4 -2.580302238347998E-017 1.412702231887812E-017 B 3 1 0.00000000000000 0.00000000000000 B 3 2 0.00000000000000 0.00000000000000 B 3 3 0.999999999999999 0.00000000000000 B 3 4 -3.429080850429788E-017 1.608519370541399E-016 B 4 1 7.666467083416871E-020 0.00000000000000 B 4 2 0.00000000000000 0.00000000000000 B 4 3 0.00000000000000 0.00000000000000 B 4 4 0.999999999999999 0.00000000000000 Z 1 1 -0.379103885468708 -0.361423038293863 Z 1 2 -0.628789568023906 0.151731681634821 Z 1 3 0.341438612912549 -0.329087843763629 Z 1 4 0.175687828652701 0.226956953866142 Z 2 1 -0.384155970317021 -0.279424089660769 Z 2 2 -0.265715708193649 0.104863427140858 Z 2 3 -0.305601656178408 0.426296249620349 Z 2 4 -0.431849110825094 -0.480760515677687 Z 3 1 -0.420802556423510 -0.220406079590379 Z 3 2 0.248878675891300 -0.140216192428590 Z 3 3 -0.318179715351947 0.416992246256345 Z 3 4 0.447217306934248 0.466498669165926 Z 4 1 -0.492057603482445 -0.179515134298342 Z 4 2 0.514087282962819 -0.392572400409566 Z 4 3 0.214739181940752 -0.422807543735984 Z 4 4 -0.213223323573257 -0.192123622517570 ALFR(I) ALFI(I) BETA(I) 1 1.215895E+01 1.215895E+01 1.000000E+00 2 -1.340416E+00 -1.340416E+00 1.000000E+00 3 -5.280409E-01 -5.280409E-01 1.000000E+00 4 -2.904938E-01 -2.904938E-01 1.000000E+00 Z 1 1 -0.723783415417976 -0.690027222336835 Z 1 2 -0.879527983982552 0.475847166001425 Z 1 3 0.439340327626986 -0.781119182867298 Z 1 4 0.329945199215732 0.297295182549899 Z 2 1 -0.733428832852759 -0.533475202225073 Z 2 2 -0.312949123803112 0.373349256148466 Z 2 3 -0.672566926676224 0.740036302583393 Z 2 4 -0.692031251348763 -0.721867541282101 Z 3 1 -0.803394328518333 -0.420798285587549 Z 3 2 0.487101448984238 -7.681116663907376E-003 Z 3 3 -0.510771764101805 0.859716351476650 Z 3 4 0.668250257591394 0.743936551883985 Z 4 1 -0.939434140567006 -0.342729478652086 Z 4 2 0.923756182453971 -0.382981090105067 Z 4 3 0.618319298115483 -0.648728253508846 Z 4 4 -0.271862170859929 -0.351196839547586 COMPUTED EIGENVALUE AND EIGENVECTOR RESIDUAL 1 1.215895E+01 1.215895E+01 1.43E-16 -7.237834E-01 -6.900272E-01 -7.334288E-01 -5.334752E-01 -8.033943E-01 -4.207983E-01 -9.394341E-01 -3.427295E-01 2 -1.340416E+00 -1.340416E+00 6.40E-17 -8.795280E-01 4.758472E-01 -3.129491E-01 3.733493E-01 4.871014E-01 -7.681117E-03 9.237562E-01 -3.829811E-01 3 -5.280409E-01 -5.280409E-01 3.10E-17 4.393403E-01 -7.811192E-01 -6.725669E-01 7.400363E-01 -5.107718E-01 8.597164E-01 6.183193E-01 -6.487283E-01 4 -2.904938E-01 -2.904938E-01 8.87E-17 3.299452E-01 2.972952E-01 -6.920313E-01 -7.218675E-01 6.682503E-01 7.439366E-01 -2.718622E-01 -3.511968E-01 0END OF DATA FOR SUBROUTINE RMATIN(RSGREADI). 1