test_eigen2.f90
 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)
 L1norm= 19.2520958301096
 eigenvalues( 1 ) =  (12.1589502925805,12.1589502925805)
 eigenvalues( 2 ) =  (-1.34041559171100,-1.34041559171100)
 eigenvalues( 3 ) =  (-0.528040865561803,-0.528040865561804)
 eigenvalues( 4 ) =  (-0.290493835307684,-0.290493835307684)
 r( 1 , 1 ) =  (0.480013462318217,0.209603064339041)
 r( 1 , 2 ) =  (0.635686207478663,0.000000000000000)
 r( 1 , 3 ) =  (-0.459992729470897,0.105436250001338)
 r( 1 , 4 ) =  (-0.286245010438112,0.0209634454273336)
 r( 2 , 1 ) =  (0.456656106390724,0.130838954096343)
 r( 2 , 2 ) =  (0.287905269448787,-0.114077173198741)
 r( 2 , 3 ) =  (0.526583218513058,0.000000000000000)
 r( 2 , 4 ) =  (0.646238599864710,0.000000000000000)
 r( 3 , 1 ) =  (0.470855948691880,0.0628355551772359)
 r( 3 , 2 ) =  (-0.274663732245198,-0.143048522573748)
 r( 3 , 3 ) =  (0.515919648012385,-0.105436250001337)
 r( 3 , 4 ) =  (-0.645898491955907,-0.0209634454273334)
 r( 4 , 1 ) =  (0.523780840225221,0.000000000000000)
 r( 4 , 2 ) =  (-0.632323350652618,-0.0653003414849602)
 r( 4 , 3 ) =  (-0.471788847720498,-0.0111980867559671)
 r( 4 , 4 ) =  (0.285414326173504,0.0302379638835739)
 l( 1 , 1 ) =  (0.480013462318217,-0.209603064339041)
 l( 1 , 2 ) =  (-0.632323350652618,-0.0653003414849604)
 l( 1 , 3 ) =  (-0.471788847720499,-0.0111980867559666)
 l( 1 , 4 ) =  (0.285414326173502,0.0302379638835730)
 l( 2 , 1 ) =  (0.456656106390724,-0.130838954096343)
 l( 2 , 2 ) =  (-0.274663732245199,-0.143048522573748)
 l( 2 , 3 ) =  (0.515919648012386,-0.105436250001338)
 l( 2 , 4 ) =  (-0.645898491955906,-0.0209634454273325)
 l( 3 , 1 ) =  (0.470855948691880,-0.0628355551772359)
 l( 3 , 2 ) =  (0.287905269448787,-0.114077173198740)
 l( 3 , 3 ) =  (0.526583218513057,0.000000000000000)
 l( 3 , 4 ) =  (0.646238599864711,0.000000000000000)
 l( 4 , 1 ) =  (0.523780840225221,0.000000000000000)
 l( 4 , 2 ) =  (0.635686207478663,0.000000000000000)
 l( 4 , 3 ) =  (-0.459992729470897,0.105436250001339)
 l( 4 , 4 ) =  (-0.286245010438113,0.0209634454273334)
 ILAMBDA= 1 (12.1589502925805,12.1589502925805)  SINGULARITY= 1
 ILAMBDA= 2 (-1.34041559171100,-1.34041559171100)  SINGULARITY= 1
 ILAMBDA= 3 (-0.528040865561803,-0.528040865561804)  SINGULARITY= 1
 ILAMBDA= 4 (-0.290493835307684,-0.290493835307684)  SINGULARITY= 1
  TOTAL EIGENVECTOR ERROR =  63.9208509673395
 ILAMBDA= 1 (12.1589502925805,12.1589502925805)  SINGULARITY= 1
 ILAMBDA= 2 (-1.34041559171100,-1.34041559171100)  SINGULARITY= 1
 ILAMBDA= 3 (-0.528040865561803,-0.528040865561804)  SINGULARITY= 1
 ILAMBDA= 4 (-0.290493835307684,-0.290493835307684)  SINGULARITY= 1
  TOTAL EIGENVECTOR ERROR =  62.2415414853791
 zCheckEigen
 v ( 1 ) =  (0.480013462318217,0.209603064339041)
 v ( 2 ) =  (0.456656106390724,0.130838954096343)
 v ( 3 ) =  (0.470855948691880,0.0628355551772359)
 v ( 4 ) =  (0.523780840225221,0.000000000000000)
 ev( 1 ) =  (3.28790658762571,8.38501306856761)
 ev( 2 ) =  (3.96159455921750,7.14332323759882)
 ev( 3 ) =  (4.96109968310368,6.48912846711711)
 ev( 4 ) =  (6.36862520050451,6.36862520050451)
 Av( 1 ) =  (0.605677834513541,7.96481736325872)
 Av( 2 ) =  (-0.530362726648557,-0.716876493493290)
 Av( 3 ) =  (-0.203176464742815,-0.280599960671640)
 Av( 4 ) =  (-0.152155105137706,-0.152155105137706)
 Err( 1 ) =  (-2.68222875311217,-0.420195705308887)
 Err( 2 ) =  (-4.49195728586606,-7.86019973109211)
 Err( 3 ) =  (-5.16427614784650,-6.76972842778875)
 Err( 4 ) =  (-6.52078030564221,-6.52078030564221)
 v ( 1 ) =  (0.635686207478663,0.000000000000000)
 v ( 2 ) =  (0.287905269448787,-0.114077173198741)
 v ( 3 ) =  (-0.274663732245198,-0.143048522573748)
 v ( 4 ) =  (-0.632323350652618,-0.0653003414849602)
 ev( 1 ) =  (-0.852083703940031,-0.852083703940032)
 ev( 2 ) =  (-0.538823533718817,-0.233001890491002)
 ev( 3 ) =  (0.176419079149923,0.559908019208073)
 ev( 4 ) =  (0.760046482347215,0.935105674088202)
 Av( 1 ) =  (5.82227115039598,7.77724534664843)
 Av( 2 ) =  (-0.465785921749468,-0.256100631184772)
 Av( 3 ) =  (0.0548304747373910,0.217576896056107)
 Av( 4 ) =  (0.164716688640817,0.202655381930552)
 Err( 1 ) =  (6.67435485433601,8.62932905058847)
 Err( 2 ) =  (0.0730376119693497,-0.0230987406937700)
 Err( 3 ) =  (-0.121588604412532,-0.342331123151966)
 Err( 4 ) =  (-0.595329793706398,-0.732450292157650)
 v ( 1 ) =  (-0.459992729470897,0.105436250001338)
 v ( 2 ) =  (0.526583218513058,0.000000000000000)
 v ( 3 ) =  (0.515919648012385,-0.105436250001337)
 v ( 4 ) =  (-0.471788847720498,-0.0111980867559671)
 ev( 1 ) =  (0.298569607734247,0.187220310309652)
 ev( 2 ) =  (-0.278057458493956,-0.278057458493956)
 ev( 3 ) =  (-0.328101306209098,-0.216752008784504)
 ev( 4 ) =  (0.243210744089481,0.255036838935995)
 Av( 1 ) =  (-10.2668991486521,-4.40500537855279)
 Av( 2 ) =  (-0.778335273917760,-0.599830492140353)
 Av( 3 ) =  (-0.339131944120596,-0.218105198953815)
 Av( 4 ) =  (0.133798776659871,0.140304726999569)
 Err( 1 ) =  (-10.5654687563863,-4.59222568886244)
 Err( 2 ) =  (-0.500277815423805,-0.321773033646397)
 Err( 3 ) =  (-0.0110306379114982,-0.00135319016931104)
 Err( 4 ) =  (-0.109411967429609,-0.114732111936425)
 v ( 1 ) =  (-0.286245010438112,0.0209634454273336)
 v ( 2 ) =  (0.646238599864710,0.000000000000000)
 v ( 3 ) =  (-0.645898491955907,-0.0209634454273334)
 v ( 4 ) =  (0.285414326173504,0.0302379638835739)
 ev( 1 ) =  (0.0892421625833048,0.0770626592564058)
 ev( 2 ) =  (-0.187728329398567,-0.187728329398567)
 ev( 3 ) =  (0.181539778484271,0.193719281811170)
 ev( 4 ) =  (-0.0741271601614649,-0.0916950443623340)
 Av( 1 ) =  (-7.62260648106102,-3.84244166834667)
 Av( 2 ) =  (-0.749233105118706,-0.972646662143313)
 Av( 3 ) =  (0.336610112791592,0.353498859233291)
 Av( 4 ) =  (-0.0741271601614649,-0.0916950443623340)
 Err( 1 ) =  (-7.71184864364432,-3.91950432760307)
 Err( 2 ) =  (-0.561504775720139,-0.784918332744746)
 Err( 3 ) =  (0.155070334307320,0.159779577422120)
 Err( 4 ) =  (0.000000000000000,0.000000000000000)
 zCheckEigen
 v ( 1 ) =  (0.480013462318217,-0.209603064339041)
 v ( 2 ) =  (0.456656106390724,-0.130838954096343)
 v ( 3 ) =  (0.470855948691880,-0.0628355551772359)
 v ( 4 ) =  (0.523780840225221,0.000000000000000)
 ev( 1 ) =  (8.38501306856760,3.28790658762571)
 ev( 2 ) =  (7.14332323759882,3.96159455921751)
 ev( 3 ) =  (6.48912846711710,4.96109968310368)
 ev( 4 ) =  (6.36862520050451,6.36862520050451)
 Av( 1 ) =  (5.67550920885218,4.50605937115781)
 Av( 2 ) =  (-0.859592761005221,-0.344031488013268)
 Av( 3 ) =  (-0.269535946630503,-0.214240478783952)
 Av( 4 ) =  (-0.152155105137706,-0.152155105137706)
 Err( 1 ) =  (-2.70950385971542,1.21815278353209)
 Err( 2 ) =  (-8.00291599860404,-4.30562604723078)
 Err( 3 ) =  (-6.75866441374761,-5.17534016188763)
 Err( 4 ) =  (-6.52078030564221,-6.52078030564221)
 v ( 1 ) =  (-0.632323350652618,-0.0653003414849604)
 v ( 2 ) =  (-0.274663732245199,-0.143048522573748)
 v ( 3 ) =  (0.287905269448787,-0.114077173198740)
 v ( 4 ) =  (0.635686207478663,0.000000000000000)
 ev( 1 ) =  (0.760046482347215,0.935105674088202)
 ev( 2 ) =  (0.176419079149924,0.559908019208073)
 ev( 3 ) =  (-0.538823533718817,-0.233001890491003)
 ev( 4 ) =  (-0.852083703940031,-0.852083703940031)
 Av( 1 ) =  (-4.96544899878587,-6.92897715169656)
 Av( 2 ) =  (0.145222852876045,0.630487525014592)
 Av( 3 ) =  (-0.197365640692516,-0.0903186541351651)
 Av( 4 ) =  (-0.184662924462673,-0.184662924462673)
 Err( 1 ) =  (-5.72549548113309,-7.86408282578476)
 Err( 2 ) =  (-0.0311962262738787,0.0705795058065183)
 Err( 3 ) =  (0.341457893026302,0.142683236355837)
 Err( 4 ) =  (0.667420779477358,0.667420779477358)
 v ( 1 ) =  (-0.471788847720499,-0.0111980867559666)
 v ( 2 ) =  (0.515919648012386,-0.105436250001338)
 v ( 3 ) =  (0.526583218513057,0.000000000000000)
 v ( 4 ) =  (-0.459992729470897,0.105436250001339)
 ev( 1 ) =  (0.243210744089481,0.255036838935995)
 ev( 2 ) =  (-0.328101306209099,-0.216752008784504)
 ev( 3 ) =  (-0.278057458493955,-0.278057458493955)
 ev( 4 ) =  (0.298569607734246,0.187220310309651)
 Av( 1 ) =  (-9.10644366133782,-5.25785340095232)
 Av( 2 ) =  (-0.925530098943069,-0.460915574295466)
 Av( 3 ) =  (-0.289081304982862,-0.276650012239954)
 Av( 4 ) =  (0.164253632840999,0.102996471554302)
 Err( 1 ) =  (-9.34965440542730,-5.51289023988832)
 Err( 2 ) =  (-0.597428792733971,-0.244163565510962)
 Err( 3 ) =  (-0.0110238464889076,0.00140744625400097)
 Err( 4 ) =  (-0.134315974893247,-0.0842238387553493)
 v ( 1 ) =  (0.285414326173502,0.0302379638835730)
 v ( 2 ) =  (-0.645898491955906,-0.0209634454273325)
 v ( 3 ) =  (0.646238599864711,0.000000000000000)
 v ( 4 ) =  (-0.286245010438113,0.0209634454273334)
 ev( 1 ) =  (-0.0741271601614647,-0.0916950443623333)
 ev( 2 ) =  (0.181539778484271,0.193719281811170)
 ev( 3 ) =  (-0.187728329398568,-0.187728329398568)
 ev( 4 ) =  (0.0892421625833049,0.0770626592564061)
 Av( 1 ) =  (6.96779956660193,4.60403960412489)
 Av( 2 ) =  (0.724111248325347,1.00402080044535)
 Av( 3 ) =  (-0.347997102761576,-0.341410892811200)
 Av( 4 ) =  (0.0892421625833049,0.0770626592564061)
 Err( 1 ) =  (7.04192672676339,4.69573464848722)
 Err( 2 ) =  (0.542571469841076,0.810301518634181)
 Err( 3 ) =  (-0.160268773363008,-0.153682563412633)
 Err( 4 ) =  (0.000000000000000,0.000000000000000)