1THE FULL MATRIX A OF ORDER 4 IS (PRINTED BY ROWS) A 1 1 2.00000000000000 -2.00000000000000 A 1 2 2.00000000000000 -2.00000000000000 A 1 3 2.00000000000000 -2.00000000000000 A 1 4 2.00000000000000 -2.00000000000000 A 2 1 2.00000000000000 -2.00000000000000 A 2 2 2.00000000000000 -2.00000000000000 A 2 3 2.00000000000000 -2.00000000000000 A 2 4 2.00000000000000 -2.00000000000000 A 3 1 2.00000000000000 -2.00000000000000 A 3 2 2.00000000000000 -2.00000000000000 A 3 3 2.00000000000000 -2.00000000000000 A 3 4 2.00000000000000 -2.00000000000000 A 4 1 2.00000000000000 -2.00000000000000 A 4 2 2.00000000000000 -2.00000000000000 A 4 3 2.00000000000000 -2.00000000000000 A 4 4 2.00000000000000 -2.00000000000000 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 2.00000000000000 -2.00000000000000 A 1 2 3.46410161513775 -3.46410161513775 A 1 3 -4.440892098500626E-016 4.440892098500626E-016 A 1 4 -1.355252715606885E-017 1.355252715606885E-017 A 2 1 4.89897948556636 0.00000000000000 A 2 2 8.48528137423857 0.00000000000000 A 2 3 -1.087791964408415E-015 0.00000000000000 A 2 4 -1.825796458465590E-016 0.00000000000000 A 3 1 0.00000000000000 0.00000000000000 A 3 2 5.438959822042074E-016 0.00000000000000 A 3 3 -6.972611193684197E-032 0.00000000000000 A 3 4 -2.127872068385076E-033 0.00000000000000 A 4 1 0.00000000000000 0.00000000000000 A 4 2 0.00000000000000 0.00000000000000 A 4 3 0.00000000000000 0.00000000000000 A 4 4 0.00000000000000 0.00000000000000 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 0.707106781186548 0.707106781186548 B 2 3 -9.064933036736790E-017 -9.064933036736790E-017 B 2 4 2.127746763502802E-017 2.127746763502802E-017 B 3 1 0.00000000000000 0.00000000000000 B 3 2 0.00000000000000 0.00000000000000 B 3 3 -0.707106781186547 -0.707106781186547 B 3 4 -6.409875621278545E-017 -6.409875621278545E-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 1.00000000000000 0.00000000000000 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 0.577350269189626 0.00000000000000 Z 2 3 -7.401486830834377E-017 0.00000000000000 Z 2 4 0.816496580927726 0.00000000000000 Z 3 1 0.00000000000000 0.00000000000000 Z 3 2 0.577350269189626 0.00000000000000 Z 3 3 -0.707106781186548 0.00000000000000 Z 3 4 -0.408248290463863 0.00000000000000 Z 4 1 0.00000000000000 0.00000000000000 Z 4 2 0.577350269189626 0.00000000000000 Z 4 3 0.707106781186547 0.00000000000000 Z 4 4 -0.408248290463863 0.00000000000000 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= 2 ITS 2 GO TO 70, ITS,L,EN = 3 2 3 L= 3 GO TO 60, EN = 2 L= 2 GO TO 60, EN = 1 L= 1 GO TO 60, EN = 0 CQZVAL RESULTS A 1 1 8.00000000000000 -8.00000000000000 A 1 2 5.551115123125782E-016 -5.551115123125782E-016 A 1 3 -1.206267055326583E-015 1.206267055326583E-015 A 1 4 1.185830060135673E-016 -1.185830060135673E-016 A 2 1 0.00000000000000 0.00000000000000 A 2 2 -1.292895068750769E-032 1.292895068750769E-032 A 2 3 -1.922962686383564E-016 1.922962686383564E-016 A 2 4 -7.602886900339855E-033 7.602886900339855E-033 A 3 1 0.00000000000000 0.00000000000000 A 3 2 0.00000000000000 0.00000000000000 A 3 3 2.084680512209974E-016 -2.084680512209974E-016 A 3 4 -5.281482003973601E-017 5.281482003973601E-017 A 4 1 0.00000000000000 0.00000000000000 A 4 2 0.00000000000000 0.00000000000000 A 4 3 0.00000000000000 0.00000000000000 A 4 4 0.00000000000000 0.00000000000000 B 1 1 1.00000000000000 0.00000000000000 B 1 2 1.110223024625156E-016 0.00000000000000 B 1 3 -1.442829105099055E-016 0.00000000000000 B 1 4 -2.605946936220108E-017 0.00000000000000 B 2 1 0.00000000000000 0.00000000000000 B 2 2 1.00000000000000 0.00000000000000 B 2 3 3.302330696181817E-017 0.00000000000000 B 2 4 9.064933036736788E-017 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 1.504544165120559E-017 0.00000000000000 B 4 1 7.666467083416872E-020 0.00000000000000 B 4 2 0.00000000000000 0.00000000000000 B 4 3 0.00000000000000 0.00000000000000 B 4 4 1.00000000000000 0.00000000000000 Z 1 1 -0.500000000000000 0.00000000000000 Z 1 2 -6.879262784420526E-017 0.00000000000000 Z 1 3 -0.866025403784439 0.00000000000000 Z 1 4 0.00000000000000 0.00000000000000 Z 2 1 -0.500000000000000 0.00000000000000 Z 2 2 -3.316303395090037E-017 0.00000000000000 Z 2 3 0.288675134594813 0.00000000000000 Z 2 4 0.816496580927726 0.00000000000000 Z 3 1 -0.500000000000000 0.00000000000000 Z 3 2 -0.707106781186548 0.00000000000000 Z 3 3 0.288675134594813 0.00000000000000 Z 3 4 -0.408248290463863 0.00000000000000 Z 4 1 -0.500000000000000 0.00000000000000 Z 4 2 0.707106781186547 0.00000000000000 Z 4 3 0.288675134594813 0.00000000000000 Z 4 4 -0.408248290463863 0.00000000000000 ALFR(I) ALFI(I) BETA(I) 1 8.000000E+00 -8.000000E+00 1.000000E+00 2 -1.292895E-32 1.292895E-32 1.000000E+00 3 2.084681E-16 -2.084681E-16 1.000000E+00 4 0.000000E+00 0.000000E+00 1.000000E+00 Z 1 1 -1.00000000000000 0.00000000000000 Z 1 2 -4.822207795469211E-017 0.00000000000000 Z 1 3 -0.920394451220096 0.00000000000000 Z 1 4 -3.412307704558196E-017 0.00000000000000 Z 2 1 -1.00000000000000 0.00000000000000 Z 2 2 2.165776951065248E-018 0.00000000000000 Z 2 3 0.306798150406699 0.00000000000000 Z 2 4 3.317226353896121E-016 0.00000000000000 Z 3 1 -1.00000000000000 0.00000000000000 Z 3 2 -1.00000000000000 0.00000000000000 Z 3 3 1.00000000000000 0.00000000000000 Z 3 4 1.00000000000000 0.00000000000000 Z 4 1 -1.00000000000000 0.00000000000000 Z 4 2 1.00000000000000 0.00000000000000 Z 4 3 -0.386403699186603 0.00000000000000 Z 4 4 -1.00000000000000 0.00000000000000 COMPUTED EIGENVALUE AND EIGENVECTOR RESIDUAL 1 8.000000E+00 -8.000000E+00 9.20E-17 -1.000000E+00 0.000000E+00 -1.000000E+00 0.000000E+00 -1.000000E+00 0.000000E+00 -1.000000E+00 0.000000E+00 2 -1.292895E-32 1.292895E-32 1.18E-16 -4.822208E-17 0.000000E+00 2.165777E-18 0.000000E+00 -1.000000E+00 0.000000E+00 1.000000E+00 0.000000E+00 3 2.084681E-16 -2.084681E-16 2.05E-17 -9.203945E-01 0.000000E+00 3.067982E-01 0.000000E+00 1.000000E+00 0.000000E+00 -3.864037E-01 0.000000E+00 4 0.000000E+00 0.000000E+00 0.00E+00 -3.412308E-17 0.000000E+00 3.317226E-16 0.000000E+00 1.000000E+00 0.000000E+00 -1.000000E+00 0.000000E+00 0END OF DATA FOR SUBROUTINE RMATIN(RSGREADI). 1