test_eigen.c running, check 535_double_f.out A matrix ( 1, 1)=( 1.00000000000000E+00, 4.00000000000000E+00) ( 1, 2)=( 2.00000000000000E+00, 4.00000000000000E+00) ( 1, 3)=( 3.00000000000000E+00, 4.00000000000000E+00) ( 1, 4)=( 4.00000000000000E+00, 4.00000000000000E+00) ( 2, 1)=( 2.00000000000000E+00, 4.00000000000000E+00) ( 2, 2)=( 2.00000000000000E+00, 3.00000000000000E+00) ( 2, 3)=( 3.00000000000000E+00, 3.00000000000000E+00) ( 2, 4)=( 4.00000000000000E+00, 3.00000000000000E+00) ( 3, 1)=( 3.00000000000000E+00, 4.00000000000000E+00) ( 3, 2)=( 3.00000000000000E+00, 3.00000000000000E+00) ( 3, 3)=( 3.00000000000000E+00, 2.00000000000000E+00) ( 3, 4)=( 4.00000000000000E+00, 2.00000000000000E+00) ( 4, 1)=( 4.00000000000000E+00, 4.00000000000000E+00) ( 4, 2)=( 4.00000000000000E+00, 3.00000000000000E+00) ( 4, 3)=( 4.00000000000000E+00, 2.00000000000000E+00) ( 4, 4)=( 4.00000000000000E+00, 1.00000000000000E+00) B matrix ( 1, 1)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 1, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 4)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 2)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 2, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 4)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 3)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 3, 4)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 4)=( 1.00000000000000E+00, 0.00000000000000E+00) cxhes results A matrix ( 1, 1)=( 1.00000000000000E+00, 4.00000000000000E+00) ( 1, 2)=( 4.27086170933452E+00, 7.33298897263096E+00) ( 1, 3)=( 1.79802538194887E+00,-1.14381426879846E+00) ( 1, 4)=( 2.88077453250149E-01,-6.02343765886679E-01) ( 2, 1)=( 8.77496438739212E+00, 0.00000000000000E+00) ( 2, 2)=( 1.21310137395770E+01,-2.39681649207388E+00) ( 2, 3)=(-1.86079054431771E+00,-3.02840669898022E+00) ( 2, 4)=(-6.74496437823183E-01,-6.17790985085834E-01) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 1.10029971844027E+00, 0.00000000000000E+00) ( 3, 3)=( 1.00712068787387E+00,-5.44126181708604E-02) ( 3, 4)=( 1.48301345381926E-01,-1.75377316396858E-01) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 3)=( 2.05740220735349E-01, 0.00000000000000E+00) ( 4, 4)=( 5.08918246127728E-01,-2.03438020533362E-01) cxhes results B matrix ( 1, 1)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 1, 2)=(-0.00000000000000E+00, 0.00000000000000E+00) ( 1, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 4)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 2)=( 7.07106781186548E-01,-7.07106781186548E-01) ( 2, 3)=( 9.16386848596627E-17,-6.97007252520528E-17) ( 2, 4)=(-6.81760093988565E-17, 1.20277310974983E-16) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 3)=(-8.32050294337843E-01, 5.54700196225230E-01) ( 3, 4)=( 5.79912637008184E-17,-6.79794762148411E-17) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 4)=(-4.35020193155971E-01, 9.00420696978108E-01) cxhes results Z matrix ( 1, 1)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 1, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 4)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 2)=( 4.83493778415228E-01, 1.61164592805076E-01) ( 2, 3)=(-8.26732914763463E-01,-1.66718315931879E-01) ( 2, 4)=( 1.70227586011454E-01, 0.00000000000000E+00) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 5.64076074817766E-01, 8.05822964025380E-02) ( 3, 3)=( 1.82546004153259E-01, 6.33107528855229E-03) ( 3, 4)=(-7.85665781591323E-01, 1.57133156318264E-01) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 6.44658371220304E-01, 0.00000000000000E+00) ( 4, 3)=( 5.01210127010397E-01,-6.43659321002826E-02) ( 4, 4)=( 5.40145224844033E-01,-1.93142837974533E-01) cxval results A matrix ( 1, 1)=( 1.21589502925805E+01, 1.21589502925805E+01) ( 1, 2)=( 1.33129379042354E+00, 6.10368955173922E+00) ( 1, 3)=( 5.62931133339464E-01,-4.78201246558244E-01) ( 1, 4)=( 5.25701448982053E-01,-2.99847467032366E-01) ( 2, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 2)=(-1.34041559171100E+00,-1.34041559171100E+00) ( 2, 3)=(-7.15789834508356E-02, 2.34756252832171E-01) ( 2, 4)=(-8.88963078524683E-04, 1.70007874146785E-03) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 3)=(-5.28040865561804E-01,-5.28040865561803E-01) ( 3, 4)=( 1.32881831541668E-02, 1.94418126398203E-02) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 4)=(-2.90493835307684E-01,-2.90493835307684E-01) cxval results B matrix ( 1, 1)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 1, 2)=(-1.10059361089794E-16, 5.73025307208837E-17) ( 1, 3)=( 1.67279947363605E-17,-1.42536657120893E-17) ( 1, 4)=(-1.33880707926764E-16,-4.96641531299767E-17) ( 2, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 2)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 2, 3)=(-5.89347202735627E-17, 3.20434471021317E-17) ( 2, 4)=( 3.51141916349058E-18, 3.00895196072341E-17) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 3)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 3, 4)=(-1.37056336570400E-17,-9.99714625341007E-17) ( 4, 1)=( 3.14018491736755E-16, 0.00000000000000E+00) ( 4, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 4)=( 1.00000000000000E+00, 0.00000000000000E+00) cxval results Z matrix ( 1, 1)=(-3.79103902410794E-01,-3.61423020522968E-01) ( 1, 2)=(-6.28789567169443E-01, 1.51731685175795E-01) ( 1, 3)=( 3.41438628339866E-01,-3.29087827757320E-01) ( 1, 4)=( 1.75687827375286E-01, 2.26956954854992E-01) ( 2, 1)=(-3.84155983415320E-01,-2.79424071653052E-01) ( 2, 2)=(-2.65715707603119E-01, 1.04863428637213E-01) ( 2, 3)=(-3.05601676162760E-01, 4.26296235294041E-01) ( 2, 4)=(-4.31849108119160E-01,-4.80760518108325E-01) ( 3, 1)=(-4.20802566755277E-01,-2.20406059864815E-01) ( 3, 2)=( 2.48878675101685E-01,-1.40216193830129E-01) ( 3, 3)=(-3.18179734900137E-01, 4.16992231340390E-01) ( 3, 4)=( 4.47217304308586E-01, 4.66498671683064E-01) ( 4, 1)=(-4.92057611897406E-01,-1.79515111232622E-01) ( 4, 2)=( 5.14087280752081E-01,-3.92572403304604E-01) ( 4, 3)=( 2.14739201761557E-01,-4.22807533669221E-01) ( 4, 4)=(-2.13223322491900E-01,-1.92123623717686E-01) cxval error= 0 ALFR(I) ALFI(I) BETA(I) 1 1.21589502925805E+01 1.21589502925805E+01 1.00000000000000E+00 2 -1.34041559171100E+00 -1.34041559171100E+00 1.00000000000000E+00 3 -5.28040865561804E-01 -5.28040865561803E-01 1.00000000000000E+00 4 -2.90493835307684E-01 -2.90493835307684E-01 1.00000000000000E+00 cxvec final eigenvctors ( 1, 1)=(-7.23783447763730E-01,-6.90027188408723E-01) ( 1, 2)=(-8.79527981302859E-01, 4.75847170954411E-01) ( 1, 3)=( 4.39340364245092E-01,-7.81119162271452E-01) ( 1, 4)=( 3.29945197542422E-01, 2.97295184406978E-01) ( 2, 1)=(-7.33428857859971E-01,-5.33475167844823E-01) ( 2, 2)=(-3.12949121700626E-01, 3.73349257910813E-01) ( 2, 3)=(-6.72566961368403E-01, 7.40036271054111E-01) ( 2, 4)=(-6.92031247285771E-01,-7.21867545177160E-01) ( 3, 1)=(-8.03394348243696E-01,-4.20798247927591E-01) ( 3, 2)=( 4.87101448940982E-01,-7.68111940697695E-03) ( 3, 3)=(-5.10771804404469E-01, 8.59716327532167E-01) ( 3, 4)=( 6.68250253404188E-01, 7.43936555645194E-01) ( 4, 1)=(-9.39434156632811E-01,-3.42729434615119E-01) ( 4, 2)=( 9.23756180297246E-01,-3.82981095307120E-01) ( 4, 3)=( 6.18319328527231E-01,-6.48728224522640E-01) ( 4, 4)=(-2.71862168883237E-01,-3.51196841077746E-01) cxcheck resdul= 2.44213626027063E-16 eigdet check eigenvalues ( 4.88838515794352E-12, 2.54139916095114E-13) = DETERMINANT 1 = SINGULARITY 1 = SINGULARITY 1 = SINGULARITY evalvec check eigenvectors SUM( 1)= 1.68753899743024E-14 SUM( 2)= 2.83106871279415E-14 SUM( 3)= 7.76809172542414E-15 SUM( 4)= 4.15813217191641E-15 TOTAL EIGENVECTOR ERROR = 5.71123009995844E-14 B2 test case A matrix ( 1, 1)=( 1.00000000000000E+00, 4.00000000000000E+00) ( 1, 2)=( 2.00000000000000E+00, 4.00000000000000E+00) ( 1, 3)=( 3.00000000000000E+00, 4.00000000000000E+00) ( 1, 4)=( 4.00000000000000E+00, 4.00000000000000E+00) ( 2, 1)=( 2.00000000000000E+00, 4.00000000000000E+00) ( 2, 2)=( 2.00000000000000E+00, 3.00000000000000E+00) ( 2, 3)=( 3.00000000000000E+00, 3.00000000000000E+00) ( 2, 4)=( 4.00000000000000E+00, 3.00000000000000E+00) ( 3, 1)=( 3.00000000000000E+00, 4.00000000000000E+00) ( 3, 2)=( 3.00000000000000E+00, 3.00000000000000E+00) ( 3, 3)=( 3.00000000000000E+00, 2.00000000000000E+00) ( 3, 4)=( 4.00000000000000E+00, 2.00000000000000E+00) ( 4, 1)=( 4.00000000000000E+00, 4.00000000000000E+00) ( 4, 2)=( 4.00000000000000E+00, 3.00000000000000E+00) ( 4, 3)=( 4.00000000000000E+00, 2.00000000000000E+00) ( 4, 4)=( 4.00000000000000E+00, 1.00000000000000E+00) B2 matrix ( 1, 1)=( 3.00000000000000E+00, 5.00000000000000E+00) ( 1, 2)=( 2.00000000000000E+00, 4.00000000000000E+00) ( 1, 3)=( 3.00000000000000E+00, 4.00000000000000E+00) ( 1, 4)=( 2.00000000000000E+00, 3.00000000000000E+00) ( 2, 1)=( 4.00000000000000E+00, 4.00000000000000E+00) ( 2, 2)=( 4.00000000000000E+00, 5.00000000000000E+00) ( 2, 3)=( 2.00000000000000E+00, 3.00000000000000E+00) ( 2, 4)=( 5.00000000000000E+00, 2.00000000000000E+00) ( 3, 1)=( 5.00000000000000E+00, 3.00000000000000E+00) ( 3, 2)=( 1.00000000000000E+00, 2.00000000000000E+00) ( 3, 3)=( 3.00000000000000E+00, 5.00000000000000E+00) ( 3, 4)=( 3.00000000000000E+00, 4.00000000000000E+00) ( 4, 1)=( 2.00000000000000E+00, 2.00000000000000E+00) ( 4, 2)=( 5.00000000000000E+00, 5.00000000000000E+00) ( 4, 3)=( 5.00000000000000E+00, 4.00000000000000E+00) ( 4, 4)=( 3.00000000000000E+00, 5.00000000000000E+00) cxhes results A matrix ( 1, 1)=( 8.66025403784438E+00, 2.50185116648838E+00) ( 1, 2)=( 1.02048517075613E+01, 3.06484766924932E+00) ( 1, 3)=(-5.53442031808211E+00,-3.87111467981838E-01) ( 1, 4)=( 5.72835331690388E+00, 6.85456973361309E+00) ( 2, 1)=( 3.56941742315756E+00, 0.00000000000000E+00) ( 2, 2)=( 2.43342125839683E+00, 5.72183237055104E-01) ( 2, 3)=(-2.09874895849320E+00, 5.85441109710767E-01) ( 2, 4)=( 2.39243684955681E+00, 7.51040934757044E-01) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 1.55013000069668E+00, 0.00000000000000E+00) ( 3, 3)=(-8.59900003064926E-01,-2.75481567205145E-01) ( 3, 4)=( 6.10761316860971E-01, 7.08544799427637E-01) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 3)=( 4.40401361558925E-01, 0.00000000000000E+00) ( 4, 4)=(-3.75646427119184E-01,-4.19882505172425E-01) cxhes results B2 matrix ( 1, 1)=( 1.03923048454133E+01, 0.00000000000000E+00) ( 1, 2)=( 1.05293483205003E+01, 5.91347705313051E+00) ( 1, 3)=(-6.25805577535850E+00,-9.98562894355634E-01) ( 1, 4)=( 4.52354342706592E+00, 6.54217374187679E+00) ( 2, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 2)=( 4.20186054369101E+00, 3.86669229775551E+00) ( 2, 3)=(-3.32642492170112E+00, 1.04868287534201E+00) ( 2, 4)=( 9.74427460650081E-01, 3.27370224613930E+00) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 3)=(-1.90898440955069E+00, 1.55346184421301E+00) ( 3, 4)=( 1.79131211755246E+00, 7.16471541885188E-01) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 4)=( 1.28769891869547E+00, 3.58672013489079E+00) cxhes results Z matrix ( 1, 1)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 1, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 4)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 2)=( 1.01537258082017E-01, 5.85157899660972E-01) ( 2, 3)=(-2.65509949735913E-01, 3.32119205985510E-01) ( 2, 4)=( 6.82994668568015E-01, 0.00000000000000E+00) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 5.33180493738035E-01,-3.59336400355185E-02) ( 3, 3)=(-7.82979986967023E-01,-1.46463880144728E-01) ( 3, 4)=(-2.81636666175644E-01, 2.44702819477580E-02) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 6.01421443163285E-01, 0.00000000000000E+00) ( 4, 3)=( 4.07075028255037E-01,-1.37774790146888E-01) ( 4, 4)=( 1.35833329567750E-01, 6.59658686635044E-01) cxval error= 0 ALFR(I) ALFI(I) BETA(I) 1 1.29794445704901E+01 -2.36750869459400E-01 1.60662476435062E+01 2 -1.30514105346515E+00 1.27114472644927E+00 2.40217058602559E+00 3 5.46024298976512E-01 6.28694792886101E-01 3.46379397111464E+00 4 -5.02851902561303E-01 -7.04665265289702E-02 4.16357265380934E+00 cxvec final eigenvctors B2 ( 1, 1)=(-8.23170302533290E-01,-2.40019076111644E-01) ( 1, 2)=(-5.32895546167177E-01,-8.46181030793758E-01) ( 1, 3)=(-1.59597085685057E-01, 3.76089639051483E-01) ( 1, 4)=(-4.16156033993671E-01, 5.33943988159099E-02) ( 2, 1)=(-7.47978576714956E-01,-2.38179975621264E-01) ( 2, 2)=(-6.61112168696531E-01,-4.43017703852335E-02) ( 2, 3)=( 2.50687236804254E-01,-5.54003217320536E-01) ( 2, 4)=( 9.61914772993826E-01,-7.88011754199423E-02) ( 3, 1)=(-9.98556028854121E-01,-5.37201753449100E-02) ( 3, 2)=( 6.24477063963740E-01, 7.64570919378335E-02) ( 3, 3)=( 6.64279548428045E-01,-7.09970257609573E-01) ( 3, 4)=(-9.96354459756025E-01,-8.53099673208182E-02) ( 4, 1)=( 2.54258631883320E-02, 4.77554627092461E-01) ( 4, 2)=( 2.96931358406698E-01, 9.09871648319794E-01) ( 4, 3)=(-6.86775248977112E-01, 7.26869835247292E-01) ( 4, 4)=( 4.36804119443368E-01, 1.36815217634592E-01) cxcheck resdul= 1.55129584733915E-16 eigdet check eigenvalues B2 1 = SINGULARITY 1 = SINGULARITY 1 = SINGULARITY 1 = SINGULARITY evalvec check eigenvectors B2 SUM( 1)= 9.01136240017915E+00 SUM( 2)= 7.23950453975616E+00 SUM( 3)= 3.20876484947925E+00 SUM( 4)= 1.49921959907638E+00 TOTAL EIGENVECTOR ERROR = 2.09588513884909E+01 A2 test case A2 matrix ( 1, 1)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 1, 2)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 1, 3)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 1, 4)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 2, 1)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 2, 2)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 2, 3)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 2, 4)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 3, 1)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 3, 2)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 3, 3)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 3, 4)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 4, 1)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 4, 2)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 4, 3)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 4, 4)=( 2.00000000000000E+00,-2.00000000000000E+00) B matrix ( 1, 1)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 1, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 4)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 2)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 2, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 4)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 3)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 3, 4)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 4)=( 1.00000000000000E+00, 0.00000000000000E+00) cxhes results A2 matrix ( 1, 1)=( 2.00000000000000E+00,-2.00000000000000E+00) ( 1, 2)=( 3.46410161513775E+00,-3.46410161513775E+00) ( 1, 3)=(-4.44089209850063E-16, 4.44089209850063E-16) ( 1, 4)=(-1.35525271560688E-17, 1.35525271560688E-17) ( 2, 1)=( 4.89897948556636E+00, 0.00000000000000E+00) ( 2, 2)=( 8.48528137423857E+00, 0.00000000000000E+00) ( 2, 3)=(-1.08779196440841E-15, 0.00000000000000E+00) ( 2, 4)=(-1.82579645846559E-16, 0.00000000000000E+00) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 5.43895982204207E-16, 0.00000000000000E+00) ( 3, 3)=(-6.97261119368420E-32, 3.39198063679146E-66) ( 3, 4)=(-2.12787206838508E-33,-3.74187059412907E-50) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 4)=(-0.00000000000000E+00, 0.00000000000000E+00) cxhes results B matrix ( 1, 1)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 1, 2)=(-0.00000000000000E+00, 0.00000000000000E+00) ( 1, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 4)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 2)=( 7.07106781186548E-01, 7.07106781186548E-01) ( 2, 3)=(-9.06493303673679E-17,-9.06493303673679E-17) ( 2, 4)=( 2.12774676350280E-17, 2.12774676350280E-17) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 3)=(-7.07106781186547E-01,-7.07106781186547E-01) ( 3, 4)=(-6.40987562127854E-17,-6.40987562127854E-17) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 4)=( 1.00000000000000E+00, 0.00000000000000E+00) cxhes results Z matrix ( 1, 1)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 1, 2)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 4)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 2, 2)=( 5.77350269189626E-01, 0.00000000000000E+00) ( 2, 3)=(-7.40148683083438E-17, 0.00000000000000E+00) ( 2, 4)=( 8.16496580927726E-01, 0.00000000000000E+00) ( 3, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 3, 2)=( 5.77350269189626E-01, 0.00000000000000E+00) ( 3, 3)=(-7.07106781186548E-01, 0.00000000000000E+00) ( 3, 4)=(-4.08248290463863E-01, 0.00000000000000E+00) ( 4, 1)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 4, 2)=( 5.77350269189626E-01, 0.00000000000000E+00) ( 4, 3)=( 7.07106781186547E-01, 0.00000000000000E+00) ( 4, 4)=(-4.08248290463863E-01, 0.00000000000000E+00) cxval error= 0 ALFR(I) ALFI(I) BETA(I) 1 2.71947991102104E-16 -2.71947991102104E-16 1.00000000000000E+00 2 8.00000000000000E+00 -8.00000000000000E+00 1.00000000000000E+00 3 4.93038065763132E-32 -4.93038065763132E-32 1.00000000000000E+00 4 0.00000000000000E+00 0.00000000000000E+00 1.00000000000000E+00 cxvec final eigenvctors A2 ( 1, 1)=(-1.00000000000000E+00, 0.00000000000000E+00) ( 1, 2)=(-1.00000000000000E+00, 0.00000000000000E+00) ( 1, 3)=( 0.00000000000000E+00, 0.00000000000000E+00) ( 1, 4)=(-1.92754842380641E-01, 0.00000000000000E+00) ( 2, 1)=( 3.33333333333333E-01, 0.00000000000000E+00) ( 2, 2)=(-1.00000000000000E+00, 0.00000000000000E+00) ( 2, 3)=(-8.71576399210524E-33, 0.00000000000000E+00) ( 2, 4)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 3, 1)=( 3.33333333333333E-01, 0.00000000000000E+00) ( 3, 2)=(-1.00000000000000E+00, 0.00000000000000E+00) ( 3, 3)=(-1.00000000000000E+00, 0.00000000000000E+00) ( 3, 4)=(-3.78891686667455E-01, 0.00000000000000E+00) ( 4, 1)=( 3.33333333333333E-01, 0.00000000000000E+00) ( 4, 2)=(-1.00000000000000E+00, 0.00000000000000E+00) ( 4, 3)=( 1.00000000000000E+00, 0.00000000000000E+00) ( 4, 4)=(-4.28353470951904E-01, 0.00000000000000E+00) cxcheck resdul= 1.17756934401283E-16 eigdet check eigenvalues A2 2 = SINGULARITY 1 = SINGULARITY 3 = SINGULARITY 3 = SINGULARITY evalvec check eigenvectors A2 SUM( 1)= 3.55271367880050E-15 SUM( 2)= 1.42108547152020E-14 SUM( 3)= 5.32907051820075E-15 SUM( 4)= 0.00000000000000E+00 TOTAL EIGENVECTOR ERROR = 2.30926389122033E-14 test_eigen.adb finished