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 3.00000000000000 5.00000000000000 B 1 2 2.00000000000000 4.00000000000000 B 1 3 3.00000000000000 4.00000000000000 B 1 4 2.00000000000000 3.00000000000000 B 2 1 4.00000000000000 4.00000000000000 B 2 2 4.00000000000000 5.00000000000000 B 2 3 2.00000000000000 3.00000000000000 B 2 4 5.00000000000000 2.00000000000000 B 3 1 5.00000000000000 3.00000000000000 B 3 2 1.00000000000000 2.00000000000000 B 3 3 3.00000000000000 5.00000000000000 B 3 4 3.00000000000000 4.00000000000000 B 4 1 2.00000000000000 2.00000000000000 B 4 2 5.00000000000000 5.00000000000000 B 4 3 5.00000000000000 4.00000000000000 B 4 4 3.00000000000000 5.00000000000000 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 8.66025403784438 2.50185116648838 A 1 2 10.2048517075613 3.06484766924931 A 1 3 -5.53442031808212 -0.387111467981835 A 1 4 5.72835331690387 6.85456973361309 A 2 1 3.56941742315756 0.00000000000000 A 2 2 2.43342125839683 0.572183237055101 A 2 3 -2.09874895849320 0.585441109710767 A 2 4 2.39243684955681 0.751040934757044 A 3 1 0.00000000000000 0.00000000000000 A 3 2 1.55013000069668 0.00000000000000 A 3 3 -0.859900003064928 -0.275481567205144 A 3 4 0.610761316860971 0.708544799427636 A 4 1 0.00000000000000 0.00000000000000 A 4 2 0.00000000000000 0.00000000000000 A 4 3 0.440401361558926 0.00000000000000 A 4 4 -0.375646427119185 -0.419882505172424 B 1 1 10.3923048454133 0.00000000000000 B 1 2 10.5293483205003 5.91347705313050 B 1 3 -6.25805577535851 -0.998562894355634 B 1 4 4.52354342706592 6.54217374187679 B 2 1 0.00000000000000 0.00000000000000 B 2 2 4.20186054369101 3.86669229775551 B 2 3 -3.32642492170112 1.04868287534201 B 2 4 0.974427460650077 3.27370224613930 B 3 1 0.00000000000000 0.00000000000000 B 3 2 0.00000000000000 0.00000000000000 B 3 3 -1.90898440955069 1.55346184421300 B 3 4 1.79131211755246 0.716471541885189 B 4 1 0.00000000000000 0.00000000000000 B 4 2 0.00000000000000 0.00000000000000 B 4 3 0.00000000000000 0.00000000000000 B 4 4 1.28769891869548 3.58672013489078 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 0.101537258082017 0.585157899660972 Z 2 3 -0.265509949735914 0.332119205985510 Z 2 4 0.682994668568015 0.00000000000000 Z 3 1 0.00000000000000 0.00000000000000 Z 3 2 0.533180493738035 -3.593364003551937E-002 Z 3 3 -0.782979986967023 -0.146463880144728 Z 3 4 -0.281636666175644 2.447028194775780E-002 Z 4 1 0.00000000000000 0.00000000000000 Z 4 2 0.601421443163286 0.00000000000000 Z 4 3 0.407075028255037 -0.137774790146887 Z 4 4 0.135833329567750 0.659658686635045 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= 1 ITS 4 GO TO 70, ITS,L,EN = 5 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= 1 ITS 2 GO TO 70, ITS,L,EN = 3 1 3 L= 3 GO TO 60, EN = 2 L= 1 ITS 0 GO TO 70, ITS,L,EN = 1 1 2 L= 1 ITS 1 GO TO 70, ITS,L,EN = 2 1 2 L= 2 GO TO 60, EN = 1 L= 1 GO TO 60, EN = 0 CQZVAL RESULTS A 1 1 12.9794445704901 -0.236750869459406 A 1 2 -4.94893780371525 3.26522350355002 A 1 3 -0.140804632351066 8.14171922786931 A 1 4 7.99745795178210 -0.291911098666707 A 2 1 0.00000000000000 0.00000000000000 A 2 2 -1.30514105346515 1.27114472644927 A 2 3 -1.612602125886337E-002 0.529393872610756 A 2 4 1.18362841228580 2.221581362959777E-002 A 3 1 0.00000000000000 0.00000000000000 A 3 2 0.00000000000000 0.00000000000000 A 3 3 0.546024298976513 0.628694792886102 A 3 4 0.141131789345805 9.222886576630407E-004 A 4 1 0.00000000000000 0.00000000000000 A 4 2 0.00000000000000 0.00000000000000 A 4 3 0.00000000000000 0.00000000000000 A 4 4 -0.502851902561303 -7.046652652897016E-002 B 1 1 16.0662476435062 0.00000000000000 B 1 2 -4.76489995236826 5.239800940897339E-002 B 1 3 0.595621868587784 7.36162000229976 B 1 4 7.52928729983756 1.72526266073829 B 2 1 0.00000000000000 0.00000000000000 B 2 2 2.40217058602559 0.00000000000000 B 2 3 2.12137439366793 -8.932565111338456E-002 B 2 4 -1.13501284699517 -1.09347167906539 B 3 1 0.00000000000000 0.00000000000000 B 3 2 0.00000000000000 0.00000000000000 B 3 3 3.46379397111464 0.00000000000000 B 3 4 -0.433514548249796 0.818565463368935 B 4 1 2.447991140184989E-018 0.00000000000000 B 4 2 0.00000000000000 0.00000000000000 B 4 3 0.00000000000000 0.00000000000000 B 4 4 4.16357265380933 0.00000000000000 Z 1 1 0.450878392210556 0.285767870969967 Z 1 2 0.278230251763512 0.371069085516741 Z 1 3 -0.222967754994226 0.631763655088086 Z 1 4 -0.165704361925807 -0.153763418658785 Z 2 1 0.406223406141366 0.271677783489795 Z 2 2 0.232587048182439 -0.152810990137588 Z 2 3 8.729898772978614E-002 -0.201559596583088 Z 2 4 0.794678721280892 -6.296140311264202E-002 Z 3 1 0.587962811731097 0.204640771563955 Z 3 2 -0.656443390788605 5.012783067996023E-002 Z 3 3 0.248041451538548 -0.180077211642473 Z 3 4 -0.227185294031595 0.182826803991516 Z 4 1 6.729485651760604E-002 -0.290021403591428 Z 4 2 -0.344097267632732 -0.394479496016334 Z 4 3 -0.411298976962221 0.489687112169340 Z 4 4 0.289137481523168 0.380501229799647 ALFR(I) ALFI(I) BETA(I) 1 1.297944E+01 -2.367509E-01 1.606625E+01 2 -1.305141E+00 1.271145E+00 2.402171E+00 3 5.460243E-01 6.286948E-01 3.463794E+00 4 -5.028519E-01 -7.046653E-02 4.163573E+00 Z 1 1 0.724235486157712 0.459022291898919 Z 1 2 0.746781697972974 0.665069241186662 Z 1 3 -0.159597086165794 0.376089638847477 Z 1 4 -0.416156033925510 5.339439934715394E-002 Z 2 1 0.652507219503314 0.436389711734283 Z 2 2 0.647441140491123 -0.140896827705418 Z 2 3 0.250687237512408 -0.554003217000094 Z 2 4 0.961914772893232 -7.880117664787507E-002 Z 3 1 0.944431004353544 0.328709716947577 Z 3 2 -0.621167960893890 9.983814242708430E-002 Z 3 3 0.664279549335564 -0.709970256760457 Z 3 4 -0.996354459864928 -8.530996604892202E-002 Z 4 1 0.108094164563961 -0.465854642526518 Z 4 2 -0.537759008978940 -0.791738527724533 Z 4 3 -0.686775249906232 0.726869834369423 Z 4 4 0.436804119618019 0.136815217076989 COMPUTED EIGENVALUE AND EIGENVECTOR RESIDUAL 1 8.078703E-01 -1.473592E-02 1.26E-16 7.242355E-01 4.590223E-01 6.525072E-01 4.363897E-01 9.444310E-01 3.287097E-01 1.080942E-01 -4.658546E-01 2 -5.433174E-01 5.291651E-01 2.46E-16 7.467817E-01 6.650692E-01 6.474411E-01 -1.408968E-01 -6.211680E-01 9.983814E-02 -5.377590E-01 -7.917385E-01 3 1.576376E-01 1.815047E-01 2.15E-16 -1.595971E-01 3.760896E-01 2.506872E-01 -5.540032E-01 6.642795E-01 -7.099703E-01 -6.867752E-01 7.268698E-01 4 -1.207741E-01 -1.692453E-02 1.74E-16 -4.161560E-01 5.339440E-02 9.619148E-01 -7.880118E-02 -9.963545E-01 -8.530997E-02 4.368041E-01 1.368152E-01 0END OF DATA FOR SUBROUTINE RMATIN(RSGREADI). 1