1          the matrices are printed column by column
         there is room for 10 columns beside each other.
         if more than 10 columns they are printed beyond the 10 first columns etc.
1
0     input matris nr 0-------




0
      1.0000000   1.0000000   1.0000000  -2.0000000   1.0000000  -1.0000000   2.0000000  -2.0000000   4.0000000  -3.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -1.0000000   2.0000000   3.0000000  -4.0000000   2.0000000  -2.0000000   4.0000000  -4.0000000   8.0000000  -6.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -1.0000000   0.0000000   5.0000000  -5.0000000   3.0000000  -3.0000000   6.0000000  -6.0000000  12.0000000  -9.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -1.0000000   0.0000000   3.0000000  -4.0000000   4.0000000  -4.0000000   8.0000000  -8.0000000  16.0000000 -12.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -1.0000000   0.0000000   3.0000000  -6.0000000   5.0000000  -4.0000000  10.0000000 -10.0000000  20.0000000 -15.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -1.0000000   0.0000000   3.0000000  -6.0000000   2.0000000  -2.0000000  12.0000000 -12.0000000  24.0000000 -18.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -1.0000000   0.0000000   3.0000000  -6.0000000   2.0000000  -5.0000000  15.0000000 -13.0000000  28.0000000 -21.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -1.0000000   0.0000000   3.0000000  -6.0000000   2.0000000  -5.0000000  12.0000000 -11.0000000  32.0000000 -24.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -1.0000000   0.0000000   3.0000000  -6.0000000   2.0000000  -5.0000000  12.0000000 -14.0000000  37.0000000 -26.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -1.0000000   0.0000000   3.0000000  -6.0000000   2.0000000  -5.0000000  12.0000000 -14.0000000  36.0000000 -25.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
          tolerance parameters.computed from pc1 pc2

          einf=    0.23842E-09
          tol=    0.23842E-09
0 the following output (a,b and c) are printed bythe user written routine decide
0 see section 2 of the algorithm.
0 a--enter decide with eigenvalues computed  by comlr2 (step 1 of the algorithm )
  3.000000000  3.000000000  3.000000000  3.000000000  2.000000000  2.000000000  2.000000000  2.000000000  2.000000000  1.000000000
  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000  0.000000000
 b--groupings of the eigenvalues,computed by step 3 of the algorithm
 division at   4 mult.=   4 center=    0.3000000000E+01    0.0000000000E+00
 division at   9 mult.=   5 center=    0.2000000000E+01    0.0000000000E+00
 division at  10 mult.=   1 center=    0.1000000000E+01    0.0000000000E+00
0 c--in step 6 of the algorithm the structure of each multiple eigenvalue is computed.
0 for that reason rdefl succesively computes singular value decompositions. rdefl prints
0 the results below(see also comments in rdefl and step 6 of the algorithm).
          singular values
    0.00000E+00    0.00000E+00    0.19885E+01    0.48125E+02
          singular values
    0.75342E-07    0.27421E-06
          singular values
    0.61969E-07
          singular values
    0.00000E+00    0.00000E+00    0.10064E+01    0.12281E+01    0.20211E+02
          singular values
    0.24707E-07    0.34377E-06    0.14412E+01
          singular values
    0.36507E-06
          return from jnf after step 7
0     eigenvalues-------------




0
      3.0000000   3.0000000   3.0000000   3.0000000   2.0000000   2.0000000   2.0000000   2.0000000   1.9999996   1.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
          r-coupling elements (equivalent with supd)
              0.00000E+00    0.56215E+01    0.26711E-06    0.00000E+00    0.32228E+01    0.53784E+01    0.00000E+00    0.14402E+01
              0.00000E+00    0.00000E+00
          nxt
             0   3   4   0   7   8   0   9   0   0
          ndb
             1   4   7
          ndel
             0   4   9  10   0   0   0   0   0   0
          ndefl
             1   3   4   5   7   9  10  11   0   0
          dele
              0.97553E-07    0.50206E-06    0.00000E+00
          pnorm-estimates of spectral projectors(equivqlent with sm)
              0.52436E+01    0.36465E+01    0.43172E+01
          condition number of z=    0.35138E+10
0         for interpretation of next,ndb,ndel and ndefl see section 4 of the algorithm part
          euclidean norm of the vectors(z)
    0.10000E+01  0.10465E+01  0.17897E+09  0.10000E+01  0.41700E+01  0.10000E+01  0.10000E+01  0.99738E+01  0.10000E+01  0.10000E+01
          frobenius norm of the residual h*z-z*j=    0.20603E+03
0     transformation matrix---




0
      0.0762522   0.0887644************   0.0183215   0.5359868  -0.3162278  -0.0213916  -0.8503984  -0.0000009   0.0509647
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.1525043   0.1775289************   0.0366444   0.8460737  -0.3162278   0.1927025  -2.8346624   0.4082482   0.1019294
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.2287565   0.2662933************   0.0549686   1.1561606  -0.3162278  -0.3212281  -3.1181290  -0.8164968   0.1528942
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.3050086   0.3550577************   0.0732929   1.4662473  -0.3162278  -0.8351591  -3.4015951   0.4082485   0.2038589
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.3812609   0.4438222************   0.0916173   1.4662473  -0.3162278   0.1641795  -3.4015956  -0.0000001   0.2548236
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.4575131   0.5325867************   0.1099417   1.4662474  -0.3162278   0.1641797  -3.4015958  -0.0000001   0.3057883
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0308639   0.4009216************  -0.5558087   1.4662474  -0.3162278   0.1641797  -3.4015958  -0.0000001   0.3567531
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -0.3957851   0.2692565************   0.7431630   1.4662474  -0.3162278   0.1641797  -3.4015958  -0.0000001   0.4077178
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -0.3957851   0.2692565************  -0.2326293   1.4662474  -0.3162278   0.1641797  -3.4015958  -0.0000001   0.4586825
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -0.3957851   0.2692565************  -0.2326293   1.4662474  -0.3162278   0.1641797  -3.4015958  -0.0000001   0.5096472
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
1
0     inputmatris nr 1= franks




0
     12.0000000  11.0000000  10.0000000   9.0000000   8.0000000   7.0000000   6.0000000   5.0000000   4.0000000   3.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     11.0000000  11.0000000  10.0000000   9.0000000   8.0000000   7.0000000   6.0000000   5.0000000   4.0000000   3.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000  10.0000000  10.0000000   9.0000000   8.0000000   7.0000000   6.0000000   5.0000000   4.0000000   3.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   9.0000000   9.0000000   8.0000000   7.0000000   6.0000000   5.0000000   4.0000000   3.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   8.0000000   8.0000000   7.0000000   6.0000000   5.0000000   4.0000000   3.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   7.0000000   7.0000000   6.0000000   5.0000000   4.0000000   3.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   6.0000000   6.0000000   5.0000000   4.0000000   3.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   5.0000000   5.0000000   4.0000000   3.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   4.0000000   4.0000000   3.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   3.0000000   3.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   2.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000



0
      2.0000000   1.0000000
      0.0000000   0.0000000
0
      2.0000000   1.0000000
      0.0000000   0.0000000
0
      2.0000000   1.0000000
      0.0000000   0.0000000
0
      2.0000000   1.0000000
      0.0000000   0.0000000
0
      2.0000000   1.0000000
      0.0000000   0.0000000
0
      2.0000000   1.0000000
      0.0000000   0.0000000
0
      2.0000000   1.0000000
      0.0000000   0.0000000
0
      2.0000000   1.0000000
      0.0000000   0.0000000
0
      2.0000000   1.0000000
      0.0000000   0.0000000
0
      2.0000000   1.0000000
      0.0000000   0.0000000
0
      2.0000000   1.0000000
      0.0000000   0.0000000
0
      1.0000000   1.0000000
      0.0000000   0.0000000
0
          tolerance parameters.computed from pc1 pc2

          einf=    0.23842E-10
          tol=    0.23842E-10
0 the following output (a,b and c) are printed bythe user written routine decide
0 see section 2 of the algorithm.
0 a--enter decide with eigenvalues computed  by comlr2 (step 1 of the algorithm )
 32.228885651 20.198991776 12.311077118  6.961533546  3.511856556  1.553988099  0.643360555  0.067851722 -0.000837664  0.067858137
  0.173003197  0.282427728
  0.000000001  0.000000004  0.000000001  0.000000006  0.000000009 -0.000000010  0.000000608  0.059142765 -0.000002099 -0.059142716
  0.000001250  0.000000178
 b--groupings of the eigenvalues,computed by step 3 of the algorithm
 division at   1 mult.=   1 center=    0.3222888565E+02    0.9506493370E-09
 division at   2 mult.=   1 center=    0.2019899178E+02    0.4106595952E-08
 division at   3 mult.=   1 center=    0.1231107712E+02    0.8596998669E-09
 division at   4 mult.=   1 center=    0.6961533546E+01    0.6480377124E-08
 division at   5 mult.=   1 center=    0.3511856556E+01    0.9390760169E-08
 division at   6 mult.=   1 center=    0.1553988099E+01   -0.9781388144E-08
 division at  11 mult.=   5 center=    0.1902471930E+00   -0.3840396090E-07
 division at  12 mult.=   1 center=    0.2824277282E+00    0.1777370926E-06
0 c--in step 6 of the algorithm the structure of each multiple eigenvalue is computed.
0 for that reason rdefl succesively computes singular value decompositions. rdefl prints
0 the results below(see also comments in rdefl and step 6 of the algorithm).
          singular values
    0.25209E-05    0.82916E+00    0.16363E+01    0.24565E+01    0.32834E+01
          singular values
    0.15855E-03    0.16149E+01    0.24485E+01    0.32814E+01
          singular values
    0.36004E-02    0.24221E+01    0.32687E+01
          singular values
    0.41125E-01    0.32465E+01
          singular values
    0.63084E-04
          return from jnf after step 7
0     eigenvalues-------------




0
     32.2288857  20.1989918  12.3110771   6.9615335   3.5118566   1.5539881   0.1902472   0.1902469   0.1901865   0.1902464
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000



0
      0.1903103   0.2824277
     -0.0000001   0.0000002
0
          r-coupling elements (equivalent with supd)
              0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.84343E+00    0.16388E+01
              0.24382E+01    0.32465E+01    0.00000E+00    0.00000E+00
          nxt
             0   0   0   0   0   0   8   9  10  11   0   0
          ndb
             1   2   3   4   5   6   7  12
          ndel
             0   1   2   3   4   5   6  11  12   0   0   0
          ndefl
             1   2   3   4   5   6   7   8   9  10  11  12
          dele
              0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.41283E-01    0.00000E+00
          pnorm-estimates of spectral projectors(equivqlent with sm)
              0.62293E+01    0.14912E+02    0.11167E+02    0.61175E+01    0.10974E+02    0.24094E+03    0.27966E+08    0.64375E+06
          condition number of z=    0.14385E+07
0         for interpretation of next,ndb,ndel and ndefl see section 4 of the algorithm part
          euclidean norm of the vectors(z)
    0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10191E+01  0.10165E+01  0.10077E+01
    0.10000E+01  0.10000E+01
          frobenius norm of the residual h*z-z*j=    0.40988E-01
0     transformation matrix---




0
      0.6475086  -0.6757568   0.5606181  -0.2392072   0.0264282  -0.0006575   0.0000000  -0.0000008  -0.0000136  -0.0001152
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000  -0.0000109   0.0000000   0.0000000   0.0000002   0.0000019
0
      0.6274176  -0.6423018   0.5150803  -0.2048459   0.0189028  -0.0002344   0.0000002   0.0000073   0.0001013   0.0003188
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000  -0.0000039   0.0000000  -0.0000001  -0.0000017  -0.0000053
0
      0.3869497  -0.2424984  -0.0276729   0.2025536  -0.0692592   0.0045701  -0.0000008  -0.0000376  -0.0005981  -0.0010535
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000756   0.0000000   0.0000006   0.0000099   0.0000174
0
      0.1802680   0.0874940  -0.4438129   0.4677115  -0.1033630   0.0031375  -0.0000032   0.0000659   0.0026945   0.0182035
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000519   0.0000001  -0.0000011  -0.0000446  -0.0003011
0
      0.0666179   0.1912117  -0.3875327   0.1386612   0.1035634  -0.0253492   0.0000408   0.0005848  -0.0039011  -0.1286209
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000  -0.0004194  -0.0000007  -0.0000097   0.0000645   0.0021278
0
      0.0198039   0.1470925  -0.0676553  -0.4187379   0.3095343  -0.0251882  -0.0000211  -0.0040355  -0.0352475   0.4309667
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000  -0.0004167   0.0000003   0.0000668   0.0005831  -0.0071296
0
      0.0047203   0.0735455   0.1581889  -0.4980150   0.0149668   0.1052072  -0.0014167   0.0014435   0.2371967  -0.6988614
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0017407   0.0000234  -0.0000239  -0.0039240   0.0115615
0
      0.0008870   0.0262114   0.1783125  -0.0655755  -0.5181339   0.1347583   0.0066887   0.0848294  -0.6244563   0.3350812
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0022296  -0.0001107  -0.0014033   0.0103305  -0.0055433
0
      0.0001271   0.0067085   0.0995820   0.3015350  -0.3919045  -0.2904663   0.0087667  -0.4080516   0.6733239   0.3445836
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000  -0.0048059  -0.0001450   0.0067505  -0.0111389  -0.0057005
0
      0.0000131   0.0011857   0.0335576   0.2958992   0.3098440  -0.4504202  -0.1779422   0.7812292   0.0243905  -0.1285956
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000  -0.0074523   0.0029437  -0.0129240  -0.0004035   0.0021274
0
      0.0000009   0.0001307   0.0065653   0.1234510   0.5564000   0.4001775   0.6191358  -0.4242535  -0.3352566  -0.2540510
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0066211  -0.0102425   0.0070185   0.0055463   0.0042028
0
      0.0000000   0.0000068   0.0005804   0.0207079   0.2215095   0.7223563  -0.7645983  -0.2725013  -0.1381398  -0.1099669
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0119516   0.0126489   0.0045081   0.0022853   0.0018192



0
     -0.0002562  -0.0000001
      0.0000042   0.0000000
0
     -0.0063157   0.0000002
      0.0001045   0.0000000
0
      0.0650791   0.0000031
     -0.0010766   0.0000000
0
     -0.2735386  -0.0000155
      0.0045252   0.0000000
0
      0.5908240  -0.0000589
     -0.0097741   0.0000000
0
     -0.5611559   0.0005879
      0.0092834   0.0000000
0
     -0.0702988  -0.0000356
      0.0011629   0.0000000
0
      0.3526981  -0.0123994
     -0.0058348   0.0000001
0
      0.1842854   0.0321339
     -0.0030487  -0.0000002
0
     -0.1251270   0.0939680
      0.0020700  -0.0000010
0
     -0.2325025  -0.5800778
      0.0038464   0.0000049
0
     -0.1537724   0.8083891
      0.0025439  -0.0000067
0
1
          eps=    0.10000E-02  delta=    0.50000E-02
0     inputmatris nr 3 -------




0
      4.0000000  -6.0000000   4.0000000  -1.0000000   0.0000000   0.0000000   0.0010000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      1.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   1.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   1.0000000   0.0000000   0.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   3.0149999  -3.0300751   1.0201505
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   1.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   1.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
          tolerance parameters.computed from pc1 pc2

          einf=    0.23842E-09
          tol=    0.23842E-09
0 the following output (a,b and c) are printed bythe user written routine decide
0 see section 2 of the algorithm.
0 a--enter decide with eigenvalues computed  by comlr2 (step 1 of the algorithm )
  0.919074476  1.176850677  1.017825246  0.999324024  0.982389689  1.000461579  0.919074476
  0.148828447 -0.000000015  0.000586160  0.017700596 -0.000551053 -0.017735643 -0.148828387
 b--groupings of the eigenvalues,computed by step 3 of the algorithm
 division at   1 mult.=   1 center=    0.9190744758E+00    0.1488284469E+00
 division at   2 mult.=   1 center=    0.1176850677E+01   -0.1490116119E-07
 division at   3 mult.=   1 center=    0.1017825246E+01    0.5861604004E-03
 division at   4 mult.=   1 center=    0.9993240237E+00    0.1770059578E-01
 division at   5 mult.=   1 center=    0.9823896885E+00   -0.5510529154E-03
 division at   6 mult.=   1 center=    0.1000461578E+01   -0.1773564331E-01
 division at   7 mult.=   1 center=    0.9190744758E+00   -0.1488283873E+00
0 c--in step 6 of the algorithm the structure of each multiple eigenvalue is computed.
0 for that reason rdefl succesively computes singular value decompositions. rdefl prints
0 the results below(see also comments in rdefl and step 6 of the algorithm).
          return from jnf after step 7
0     eigenvalues-------------




0
      0.9190745   1.1768507   1.0178252   0.9993240   0.9823897   1.0004616   0.9190745
      0.1488284   0.0000000   0.0005862   0.0177006  -0.0005511  -0.0177356  -0.1488284
0
          r-coupling elements (equivalent with supd)
              0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00
          nxt
             0   0   0   0   0   0   0
          ndb
             1   2   3   4   5   6   7
          ndel
             0   1   2   3   4   5   6
          ndefl
             1   2   3   4   5   6   7
          dele
              0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00
          pnorm-estimates of spectral projectors(equivqlent with sm)
              0.18523E+02    0.32778E+02    0.16010E+06    0.13825E+06    0.13182E+06    0.14370E+06    0.17672E+02
          condition number of z=    0.19056E+07
0         for interpretation of next,ndb,ndel and ndefl see section 4 of the algorithm part
          euclidean norm of the vectors(z)
    0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01
          frobenius norm of the residual h*z-z*j=    0.13078E-05
0     transformation matrix---




0
     -0.3409318   0.4241282   0.2750800  -0.1460529  -0.4595686  -0.3890948   0.3275875
     -0.1133896   0.2448727   0.4332828   0.4777856  -0.1601038   0.3147526  -0.1475659
0
     -0.3809405   0.3603927   0.2705077  -0.1376401  -0.4677154  -0.3943687   0.3726600
     -0.0616870   0.2080747   0.4255391   0.4805468  -0.1632362   0.3076163  -0.1002134
0
     -0.4144829   0.3062349   0.2660109  -0.1291752  -0.4760064  -0.3995121   0.4123180
     -0.0000002   0.1768064   0.4179335   0.4831600  -0.1664295   0.3003920  -0.0422695
0
     -0.4394550   0.2602155   0.2615886  -0.1206610  -0.4844441  -0.4045233   0.4444169
      0.0711621   0.1502368   0.4104635   0.4856240  -0.1696846   0.2930822   0.0259745
0
      0.1747113   0.3524944   0.0000000   0.0000001   0.0000000   0.0000001  -0.2008819
     -0.2655170   0.2035055   0.0000000   0.0000000   0.0000000   0.0000000  -0.2463194
0
      0.1396511   0.2995234   0.0000000   0.0000001   0.0000000   0.0000001  -0.1706945
     -0.3115101   0.1729238  -0.0000001   0.0000000   0.0000001   0.0000000  -0.2956491
0
      0.0945820   0.2545127   0.0000000   0.0000001   0.0000000   0.0000001  -0.1302189
     -0.3542548   0.1469378  -0.0000001   0.0000000   0.0000000   0.0000000  -0.3427680
0
1
          alfa=    0.10000E-02
0     inputmatris nr 4--------




0
      0.0000000   0.0000000   0.0000000   0.0000000   1.0000000   0.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   1.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   1.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   1.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.9999980   0.0010040  -0.0000020   0.0010040  -0.0030000   3.0040030  -0.0030040   1.0040071
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -0.0020000   2.0040030  -0.0020040   1.0040071  -2.0000000   0.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
     -1.0000000   0.0000000   0.0000000   0.0000000   0.0000000  -2.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000  -1.0000000   0.0000000   0.0000000   0.0000000   0.0000000  -2.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
          tolerance parameters.computed from pc1 pc2

          einf=    0.23842E-09
          tol=    0.23842E-09
0 the following output (a,b and c) are printed bythe user written routine decide
0 see section 2 of the algorithm.
0 a--enter decide with eigenvalues computed  by comlr2 (step 1 of the algorithm )
 -0.001015444  0.000115455 -0.000100033 -0.001061497  0.000110960 -0.000049461 -0.000999880 -0.000000163
 -1.001112223 -1.001170755 -0.999716938  1.001111388  1.001247764  0.999639988  0.000000037 -0.000000029
 b--groupings of the eigenvalues,computed by step 3 of the algorithm
 division at   1 mult.=   1 center=   -0.1015443588E-02   -0.1001112223E+01
 division at   2 mult.=   1 center=    0.1154552665E-03   -0.1001170754E+01
 division at   3 mult.=   1 center=   -0.1000334887E-03   -0.9997169375E+00
 division at   4 mult.=   1 center=   -0.1061497256E-02    0.1001111388E+01
 division at   5 mult.=   1 center=    0.1109601435E-03    0.1001247764E+01
 division at   6 mult.=   1 center=   -0.4946056288E-04    0.9996399879E+00
 division at   7 mult.=   1 center=   -0.9998803725E-03    0.3725631359E-07
 division at   8 mult.=   1 center=   -0.1630988180E-06   -0.2851950853E-07
0 c--in step 6 of the algorithm the structure of each multiple eigenvalue is computed.
0 for that reason rdefl succesively computes singular value decompositions. rdefl prints
0 the results below(see also comments in rdefl and step 6 of the algorithm).
          return from jnf after step 7
0     eigenvalues-------------




0
     -0.0010154   0.0001155  -0.0001000  -0.0010615   0.0001110  -0.0000495  -0.0009999  -0.0000002
     -1.0011122  -1.0011708  -0.9997169   1.0011114   1.0012478   0.9996400   0.0000000   0.0000000
0
          r-coupling elements (equivalent with supd)
              0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00
          nxt
             0   0   0   0   0   0   0   0
          ndb
             1   2   3   4   5   6   7   8
          ndel
             0   1   2   3   4   5   6   7
          ndefl
             1   2   3   4   5   6   7   8
          dele
              0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00
          pnorm-estimates of spectral projectors(equivqlent with sm)
              0.16988E+04    0.29296E+04    0.38172E+04    0.75678E+03    0.11766E+04    0.14788E+04    0.76930E+02    0.65263E+02
          condition number of z=    0.12817E+05
0         for interpretation of next,ndb,ndel and ndefl see section 4 of the algorithm part
          euclidean norm of the vectors(z)
    0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01
          frobenius norm of the residual h*z-z*j=    0.20665E-05
0     transformation matrix---




0
      0.3525503  -0.0002882  -0.3361817  -0.0973714   0.3488513   0.0904366   0.0000030   0.0000000
     -0.0308189  -0.3538600  -0.1104705  -0.3402024   0.0593479   0.3421216   0.0000000   0.0000000
0
     -0.0303867  -0.3535167  -0.1104960   0.3397617  -0.0593411  -0.3419360   0.0019998  -0.0000004
     -0.3522269   0.0003244   0.3359879  -0.0976828   0.3484931   0.0904713   0.0000102  -0.0000001
0
     -0.3519046   0.0003602   0.3357950   0.0979935  -0.3481355  -0.0905059   0.9999823  -0.9999980
      0.0299552   0.3531750   0.1105222   0.3393212  -0.0593342  -0.3417504   0.0051417  -0.0000657
0
      0.0295247   0.3528325   0.1105476  -0.3388808   0.0593273   0.3415646  -0.0019956  -0.0019952
      0.3515811  -0.0003962  -0.3356010   0.0983032  -0.3477781  -0.0905405  -0.0000102   0.0000001
0
     -0.0312112  -0.3542742  -0.1104055   0.3406840  -0.0593833  -0.3420030   0.0000000   0.0000000
     -0.3529110   0.0002478   0.3360976  -0.0971185   0.3492933   0.0903872   0.0000000   0.0000000
0
     -0.3525884   0.0002838   0.3359043   0.0974308  -0.3489348  -0.0904218  -0.0000020   0.0000000
      0.0307781   0.3539312   0.1104315   0.3402432  -0.0593765  -0.3418176   0.0000000   0.0000000
0
      0.0303460   0.3535882   0.1104571  -0.3398024   0.0593696   0.3416319  -0.0009999   0.0000002
      0.3522653  -0.0003199  -0.3357107   0.0977422  -0.3485765  -0.0904565  -0.0000051   0.0000000
0
      0.3519424  -0.0003558  -0.3355173  -0.0980528   0.3482187   0.0904911   0.0000020   0.0000000
     -0.0299145  -0.3532458  -0.1104830  -0.3393618   0.0593627   0.3414461   0.0000000   0.0000000
0
1
0     inputmatris nr 5--------




0
      8.0000000 -24.0000000  32.0000000 -16.0000000   0.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      1.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   1.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   1.0000000   0.0000000   0.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   4.0000000  -4.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   1.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   2.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
          tolerance parameters.computed from pc1 pc2

          einf=    0.23842E-09
          tol=    0.23842E-09
0 the following output (a,b and c) are printed bythe user written routine decide
0 see section 2 of the algorithm.
0 a--enter decide with eigenvalues computed  by comlr2 (step 1 of the algorithm )
  1.999620319  2.049021960  1.998938322  1.952419996  2.000000000  2.000000000  2.000000000
  0.048326895 -0.000383805 -0.048243992  0.000300949  0.000000000  0.000000000  0.000000000
 b--groupings of the eigenvalues,computed by step 3 of the algorithm
 division at   1 mult.=   1 center=    0.1999620318E+01    0.4832689464E-01
 division at   2 mult.=   1 center=    0.2049021959E+01   -0.3838045232E-03
 division at   3 mult.=   1 center=    0.1998938322E+01   -0.4824399203E-01
 division at   4 mult.=   1 center=    0.1952419996E+01    0.3009485372E-03
 division at   7 mult.=   3 center=    0.2000000000E+01    0.0000000000E+00
0 c--in step 6 of the algorithm the structure of each multiple eigenvalue is computed.
0 for that reason rdefl succesively computes singular value decompositions. rdefl prints
0 the results below(see also comments in rdefl and step 6 of the algorithm).
          singular values
    0.00000E+00    0.00000E+00    0.50000E+01
          singular values
    0.00000E+00
          return from jnf after step 7
0     eigenvalues-------------




0
      1.9996204   2.0490220   1.9989383   1.9524199   2.0000000   2.0000000   2.0000000
      0.0483269  -0.0003838  -0.0482440   0.0003009   0.0000000   0.0000000   0.0000000
0
          r-coupling elements (equivalent with supd)
              0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.50000E+01    0.00000E+00
          nxt
             0   0   0   0   0   7   0
          ndb
             1   2   3   4   5
          ndel
             0   1   2   3   4   7   0
          ndefl
             1   2   3   4   5   7   8
          dele
              0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00    0.00000E+00
          pnorm-estimates of spectral projectors(equivqlent with sm)
              0.70957E+05    0.71160E+05    0.72399E+05    0.71436E+05    0.10000E+01
          condition number of z=    0.12870E+07
0         for interpretation of next,ndb,ndel and ndefl see section 4 of the algorithm part
          euclidean norm of the vectors(z)
    0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01
          frobenius norm of the residual h*z-z*j=    0.22150E-05
0     transformation matrix---




0
      0.8674966   0.6226271   0.6247703  -0.8600824   0.0000000   0.0000000   0.0000000
      0.0209657   0.6136891   0.6020702  -0.0378835   0.0000000   0.0000000   0.0000000
0
      0.4338307   0.3038095   0.3051041  -0.4405243   0.0000000   0.0000000   0.0000000
      0.0000000   0.2995603   0.3085586  -0.0193354   0.0000000   0.0000000   0.0000000
0
      0.2168299   0.1482431   0.1488209  -0.2256314   0.0000000   0.0000000   0.0000000
     -0.0052403   0.1462245   0.1579530  -0.0098685   0.0000000   0.0000000   0.0000000
0
      0.1083089   0.0723349   0.0725006  -0.1155658   0.0000000   0.0000000   0.0000000
     -0.0052383   0.0713766   0.0807682  -0.0050367   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.8944272   0.4472136
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.4472136  -0.8944272
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
      0.0000000   0.0000000   0.0000000   0.0000000   1.0000000   0.0000000   0.0000000
      0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000   0.0000000
0
1
