
 INTERMEDIATE RESULTS FROM CHLSKY.
 (PX,PY) ARE THE NEW VALUES FOUND BY CHLSKY.
 (SX,SY) ARE THE COEFFICIENTS OF THE LINEAR COMBINATION.
 AP = PX*SX + PY*SY?5 EXCEPT FOR ROUNDING ERROR, AP IS THE 
 NEGATIVE DIAGONAL WHICH CAUSED THE FAILIURE OF CHOLESKY.
 KPD IS THE ORDER OF THE POSITIVE DEFINITE SUB-MATRIX.
 THE SAME MATRICES ARE USED IN THE BAND-SYMMETRIC AND FULL-
 SYMMETRIC EXAMPLES SO THE RESULTS SHOULD BE NEARLY IDENTICAL.
 FLOATING-POINT UNDERFLOWS MAY OCCUR IN DDOT?5 IN ALL CASES
 THE RESULT SHOULD BE SET TO ZERO.



                                                   BAND-SYMMETRIC EXAMPLE  1
 N =     5?5 M =     3
  MATRIX A 
 -0.10000E+01
 -0.10000E+01 -0.10000E+01
 -0.10000E+01 -0.10000E+01 -0.29289E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00
  0.12246E-15  0.70711E+00  0.16310E+01  0.26118E+01


  MATRIX B 
 -0.18370E-15
 -0.18370E-15 -0.10000E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01 -0.20898E+01
 -0.10000E+01 -0.17071E+01 -0.20898E+01 -0.22849E+01



           PX                   PY                   SX                   SY                   AP           KPD TYPE
   -1.000000000000D+00  -1.836960352710D-16   0.000000000000D+00   1.000000000000D+00  -1.836960352710D-16   0   2
    7.850462293419D-17  -5.000000000000D-01  -1.000000000000D+00  -1.836960352710D-16   1.334339439052D-17   1   2
    4.619397662556D-01  -1.913417161825D-01  -7.071067811865D-01  -7.071067811865D-01  -1.913417130709D-01   3   2

 THE PAIR IS DEFINITE.
 ALPHA =   -1.950903220161D-01.  BETA =   -9.807852804032D-01

                                                   BAND-SYMMETRIC EXAMPLE  2
 N =     5?5 M =     3
  MATRIX A 
  0.12246E-15
  0.12246E-15  0.10000E+01
  0.12246E-15  0.10000E+01  0.17071E+01
  0.12246E-15  0.10000E+01  0.17071E+01  0.20898E+01
  0.10000E+01  0.17071E+01  0.20898E+01  0.22849E+01


  MATRIX B 
 -0.10000E+01
 -0.10000E+01 -0.10000E+01
 -0.10000E+01 -0.10000E+01 -0.29289E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00
  0.61232E-16  0.70711E+00  0.16310E+01  0.26118E+01



           PX                   PY                   SX                   SY                   AP           KPD TYPE
    1.224640235140D-16  -1.000000000000D+00   0.000000000000D+00   1.000000000000D+00  -1.000000000000D+00   0   2
    5.000000000000D-01   7.850462293419D-17   1.224640235140D-16  -1.000000000000D+00  -1.727261148799D-17   1   2
    1.913417161825D-01   4.619397662556D-01   7.071067811865D-01  -7.071067811865D-01  -1.913417130709D-01   3   2

 THE PAIR IS DEFINITE.
 ALPHA =    9.807852804032D-01.  BETA =   -1.950903220161D-01

                                                   BAND-SYMMETRIC EXAMPLE  3
 N =    10?5 M =     4
  MATRIX A 
 -0.10000E+01
 -0.10000E+01 -0.10000E+01
 -0.10000E+01 -0.10000E+01 -0.29289E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00  0.16118E+01
  0.12246E-15  0.70711E+00  0.16310E+01  0.26118E+01  0.36070E+01
  0.70711E+00  0.16310E+01  0.26118E+01  0.36070E+01  0.46058E+01
  0.92388E+00  0.19047E+01  0.28998E+01  0.38986E+01  0.48983E+01
  0.98079E+00  0.19760E+01  0.29748E+01  0.39745E+01  0.49744E+01
  0.99518E+00  0.19940E+01  0.29937E+01  0.39936E+01  0.49936E+01


  MATRIX B 
 -0.18370E-15
 -0.18370E-15 -0.10000E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01 -0.20898E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01 -0.20898E+01 -0.22849E+01
 -0.10000E+01 -0.17071E+01 -0.20898E+01 -0.22849E+01 -0.23829E+01
 -0.70711E+00 -0.10898E+01 -0.12849E+01 -0.13829E+01 -0.14320E+01
 -0.38268E+00 -0.57777E+00 -0.67579E+00 -0.72486E+00 -0.74940E+00
 -0.19509E+00 -0.29311E+00 -0.34218E+00 -0.36672E+00 -0.37899E+00
 -0.98017E-01 -0.14708E+00 -0.17163E+00 -0.18390E+00 -0.19003E+00



           PX                   PY                   SX                   SY                   AP           KPD TYPE
   -1.000000000000D+00  -1.836960352710D-16   0.000000000000D+00   1.000000000000D+00  -1.836960352710D-16   0   2
    7.850462293419D-17  -5.000000000000D-01  -1.000000000000D+00  -1.836960352710D-16   1.334339439052D-17   1   2
    4.619397662556D-01  -1.913417161825D-01  -7.071067811865D-01  -7.071067811865D-01  -1.913417130709D-01   3   2
    4.903926402016D-01  -9.754516100806D-02  -1.950903220161D-01  -9.807852804032D-01  -3.191891195797D-16   4   2
    3.317282422241D-01  -3.267238010985D-02  -9.801714032956D-02  -9.951847266722D-01   1.040834085586D-16   5   2
    1.665411895751D-01  -6.134075237528D-03  -4.906767432742D-02  -9.987954562052D-01  -2.045102417469D-03   7   2

 TERMINATED BY CHLSKY AFTER   6 ITERATIONS.
 ALPHA =   -1.840672990580D-02.  BETA =   -9.998305817958D-01

                                                   BAND-SYMMETRIC EXAMPLE  4
 N =    20?5 M =     5
  MATRIX A 
 -0.98769E+00
 -0.98769E+00 -0.11441E+01
 -0.98769E+00 -0.11441E+01 -0.55634E+00
 -0.98769E+00 -0.11441E+01 -0.55634E+00  0.29630E+00
 -0.98769E+00 -0.11441E+01 -0.55634E+00  0.29630E+00  0.12345E+01
 -0.98769E+00 -0.11441E+01 -0.55634E+00  0.29630E+00  0.12345E+01  0.22021E+01
 -0.15643E+00  0.43135E+00  0.12840E+01  0.22222E+01  0.31898E+01  0.41686E+01
  0.58779E+00  0.14404E+01  0.23786E+01  0.33462E+01  0.43250E+01  0.53086E+01
  0.85264E+00  0.17908E+01  0.27584E+01  0.37373E+01  0.47208E+01  0.57065E+01
  0.93819E+00  0.19058E+01  0.28846E+01  0.38682E+01  0.48539E+01  0.58406E+01
  0.96760E+00  0.19464E+01  0.29300E+01  0.39157E+01  0.49024E+01  0.58896E+01
  0.97882E+00  0.19624E+01  0.29481E+01  0.39348E+01  0.49220E+01  0.59094E+01
  0.98355E+00  0.19692E+01  0.29560E+01  0.39432E+01  0.49306E+01  0.59182E+01
  0.98569E+00  0.19724E+01  0.29596E+01  0.39471E+01  0.49346E+01  0.59223E+01
  0.98671E+00  0.19739E+01  0.29614E+01  0.39489E+01  0.49366E+01  0.59242E+01
  0.98720E+00  0.19747E+01  0.29622E+01  0.39498E+01  0.49375E+01  0.49375E+01
  0.98745E+00  0.19750E+01  0.29626E+01  0.39503E+01  0.39503E+01  0.39503E+01
  0.98757E+00  0.19752E+01  0.29629E+01  0.29629E+01  0.29629E+01  0.29629E+01
  0.98763E+00  0.19753E+01  0.19753E+01  0.19753E+01  0.19753E+01  0.19753E+01
  0.98766E+00  0.98766E+00  0.98766E+00  0.98766E+00  0.98766E+00  0.98766E+00


  MATRIX B 
  0.15643E+00
  0.15643E+00 -0.83125E+00
  0.15643E+00 -0.83125E+00 -0.16403E+01
  0.15643E+00 -0.83125E+00 -0.16403E+01 -0.21628E+01
  0.15643E+00 -0.83125E+00 -0.16403E+01 -0.21628E+01 -0.25089E+01
  0.15643E+00 -0.83125E+00 -0.16403E+01 -0.21628E+01 -0.25089E+01 -0.27614E+01
 -0.98769E+00 -0.17967E+01 -0.23192E+01 -0.26653E+01 -0.29178E+01 -0.31225E+01
 -0.80902E+00 -0.13315E+01 -0.16776E+01 -0.19301E+01 -0.21348E+01 -0.23155E+01
 -0.52250E+00 -0.86862E+00 -0.11211E+01 -0.13258E+01 -0.15064E+01 -0.16750E+01
 -0.34612E+00 -0.59861E+00 -0.80332E+00 -0.98394E+00 -0.11525E+01 -0.13150E+01
 -0.25249E+00 -0.45720E+00 -0.63783E+00 -0.80637E+00 -0.96886E+00 -0.11283E+01
 -0.20471E+00 -0.38534E+00 -0.55388E+00 -0.71637E+00 -0.87584E+00 -0.10338E+01
 -0.18063E+00 -0.34917E+00 -0.51166E+00 -0.67113E+00 -0.82907E+00 -0.98627E+00
 -0.16854E+00 -0.33104E+00 -0.49050E+00 -0.64845E+00 -0.80564E+00 -0.96245E+00
 -0.16249E+00 -0.32196E+00 -0.47991E+00 -0.63710E+00 -0.79391E+00 -0.95053E+00
 -0.15946E+00 -0.31741E+00 -0.47461E+00 -0.63142E+00 -0.78804E+00 -0.78804E+00
 -0.15795E+00 -0.31514E+00 -0.47195E+00 -0.62858E+00 -0.62858E+00 -0.62858E+00
 -0.15719E+00 -0.31401E+00 -0.47063E+00 -0.47063E+00 -0.47063E+00 -0.47063E+00
 -0.15681E+00 -0.31344E+00 -0.31344E+00 -0.31344E+00 -0.31344E+00 -0.31344E+00
 -0.15662E+00 -0.15662E+00 -0.15662E+00 -0.15662E+00 -0.15662E+00 -0.15662E+00



           PX                   PY                   SX                   SY                   AP           KPD TYPE
   -7.821725101493D-02  -4.938441673683D-01   0.000000000000D+00   1.000000000000D+00  -4.938441812992D-01   1   2
    2.833619005758D-14  -4.360252907274D-15  -1.564345020299D-01  -9.876883347366D-01  -1.261868524312D-16  16   2
   -9.876883347366D-01   1.564345020299D-01   5.895642073728D-01  -8.077215147468D-01  -7.086611986160D-01   0   2

 THE PAIR IS NOT DEFINITE.

                                                   BAND-SYMMETRIC EXAMPLE  5
 N =     9?5 M =     3
  MATRIX A 
  0.00000E+00
  0.12246E-15  0.10000E+01
  0.12246E-15  0.10000E+01  0.17071E+01
  0.12246E-15  0.10000E+01  0.17071E+01  0.20898E+01
  0.10000E+01  0.17071E+01  0.20898E+01  0.22849E+01
  0.70711E+00  0.10898E+01  0.12849E+01  0.13829E+01
  0.38268E+00  0.57777E+00  0.67579E+00  0.72486E+00
  0.19509E+00  0.29311E+00  0.34218E+00  0.36672E+00
  0.98017E-01  0.14708E+00  0.17163E+00  0.18390E+00


  MATRIX B 
  0.00000E+00
 -0.10000E+01 -0.10000E+01
 -0.10000E+01 -0.10000E+01 -0.29289E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00
  0.61232E-16  0.70711E+00  0.16310E+01  0.26118E+01
  0.70711E+00  0.16310E+01  0.26118E+01  0.36070E+01
  0.92388E+00  0.19047E+01  0.28998E+01  0.38986E+01
  0.98079E+00  0.19760E+01  0.29748E+01  0.39745E+01
  0.99518E+00  0.19940E+01  0.29937E+01  0.39936E+01



           PX                   PY                   SX                   SY                   AP           KPD TYPE
    0.000000000000D+00   0.000000000000D+00   0.000000000000D+00   1.000000000000D+00   0.000000000000D+00   0   2

 THE PAIR IS NOT DEFINITE.

                                                   BAND-SYMMETRIC EXAMPLE  6
 N =    10?5 M =     4
  MATRIX A 
 -0.10000E+01
 -0.10000E+01 -0.10000E+01
 -0.10000E+01 -0.10000E+01 -0.29289E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00  0.16118E+01
  0.12246E-15  0.70711E+00  0.16310E+01  0.26118E+01  0.36070E+01
  0.70711E+00  0.16310E+01  0.26118E+01  0.36070E+01  0.46058E+01
  0.92388E+00  0.19047E+01  0.28998E+01  0.38986E+01  0.48983E+01
  0.98079E+00  0.19760E+01  0.29748E+01  0.39745E+01  0.49744E+01
  0.99518E+00  0.19940E+01  0.29937E+01  0.39936E+01  0.39936E+01


  MATRIX B 
 -0.18370E-15
 -0.18370E-15 -0.10000E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01 -0.20898E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01 -0.20898E+01 -0.22849E+01
 -0.10000E+01 -0.17071E+01 -0.20898E+01 -0.22849E+01 -0.23829E+01
 -0.70711E+00 -0.10898E+01 -0.12849E+01 -0.13829E+01 -0.14320E+01
 -0.38268E+00 -0.57777E+00 -0.67579E+00 -0.72486E+00 -0.74940E+00
 -0.19509E+00 -0.29311E+00 -0.34218E+00 -0.36672E+00 -0.37899E+00
 -0.98017E-01 -0.14708E+00 -0.17163E+00 -0.18390E+00  0.81610E+00



           PX                   PY                   SX                   SY                   AP           KPD TYPE
   -1.000000000000D+00  -1.836960352710D-16   0.000000000000D+00   1.000000000000D+00  -1.836960352710D-16   0   2
    7.850462293419D-17  -5.000000000000D-01  -1.000000000000D+00  -1.836960352710D-16   1.334339439052D-17   1   2
    4.619397662556D-01  -1.913417161825D-01  -7.071067811865D-01  -7.071067811865D-01  -1.913417130709D-01   3   2
    4.903926402016D-01  -9.754516100806D-02  -1.950903220161D-01  -9.807852804032D-01  -3.191891195797D-16   4   2
    3.317282422241D-01  -3.267238010985D-02  -9.801714032956D-02  -9.951847266722D-01   1.040834085586D-16   5   2
    1.665411895751D-01  -6.134075237528D-03  -4.906767432742D-02  -9.987954562052D-01  -2.045102417469D-03   7   2
    2.499811754598D-01  -3.067884571430D-03  -1.840672990580D-02  -9.998305817958D-01  -1.533971168101D-03   8   2
    2.775557561569D-17   2.500000000000D-01  -6.135884649158D-03  -9.999811752826D-01  -2.499952912331D-01   9   2

 THE PAIR IS NOT DEFINITE.

                                                   BAND-SYMMETRIC EXAMPLE  7
 N =    10?5 M =     0
  MATRIX A 
  0.00000E+00
  0.00000E+00
  0.70711E+00
  0.38268E+00
  0.19509E+00
  0.98017E-01
  0.49068E-01
  0.24541E-01
  0.12272E-01
  0.61359E-02


  MATRIX B 
 -0.10000E+01
  0.10000E+01
  0.70711E+00
  0.92388E+00
  0.98079E+00
  0.99518E+00
  0.99880E+00
  0.99970E+00
  0.99992E+00
  0.99998E+00



           PX                   PY                   SX                   SY                   AP           KPD TYPE
    0.000000000000D+00  -1.000000000000D+00   0.000000000000D+00   1.000000000000D+00  -1.000000000000D+00   0   2
    0.000000000000D+00   1.000000000000D+00   0.000000000000D+00  -1.000000000000D+00  -1.000000000000D+00   1   2

 THE PAIR IS NOT DEFINITE.

                                                   SYMMETRIC EXAMPLE  1
 N =     5?5 M =     3
  MATRIX A 
 -0.10000E+01
 -0.10000E+01 -0.10000E+01
 -0.10000E+01 -0.10000E+01 -0.29289E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00
  0.00000E+00  0.12246E-15  0.70711E+00  0.16310E+01  0.26118E+01


  MATRIX B 
 -0.18370E-15
 -0.18370E-15 -0.10000E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01 -0.20898E+01
  0.00000E+00 -0.10000E+01 -0.17071E+01 -0.20898E+01 -0.22849E+01



           PX                   PY                   SX                   SY                   AP           KPD TYPE
   -1.000000000000D+00  -1.836960352710D-16   0.000000000000D+00   1.000000000000D+00  -1.836960352710D-16   0   1
    7.850462293419D-17  -5.000000000000D-01  -1.000000000000D+00  -1.836960352710D-16   1.334339439052D-17   1   1
    4.619397662556D-01  -1.913417161825D-01  -7.071067811865D-01  -7.071067811865D-01  -1.913417130709D-01   3   1

 THE PAIR IS DEFINITE.
 ALPHA =   -1.950903220161D-01.  BETA =   -9.807852804032D-01

                                                   SYMMETRIC EXAMPLE  2
 N =     5?5 M =     3
  MATRIX A 
  0.12246E-15
  0.12246E-15  0.10000E+01
  0.12246E-15  0.10000E+01  0.17071E+01
  0.12246E-15  0.10000E+01  0.17071E+01  0.20898E+01
  0.00000E+00  0.10000E+01  0.17071E+01  0.20898E+01  0.22849E+01


  MATRIX B 
 -0.10000E+01
 -0.10000E+01 -0.10000E+01
 -0.10000E+01 -0.10000E+01 -0.29289E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00
  0.00000E+00  0.61232E-16  0.70711E+00  0.16310E+01  0.26118E+01



           PX                   PY                   SX                   SY                   AP           KPD TYPE
    1.224640235140D-16  -1.000000000000D+00   0.000000000000D+00   1.000000000000D+00  -1.000000000000D+00   0   1
    5.000000000000D-01   7.850462293419D-17   1.224640235140D-16  -1.000000000000D+00  -1.727261148799D-17   1   1
    1.913417161825D-01   4.619397662556D-01   7.071067811865D-01  -7.071067811865D-01  -1.913417130709D-01   3   1

 THE PAIR IS DEFINITE.
 ALPHA =    9.807852804032D-01.  BETA =   -1.950903220161D-01

                                                   SYMMETRIC EXAMPLE  3
 N =    10?5 M =     4
  MATRIX A 
 -0.10000E+01
 -0.10000E+01 -0.10000E+01
 -0.10000E+01 -0.10000E+01 -0.29289E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00  0.16118E+01
  0.00000E+00  0.12246E-15  0.70711E+00  0.16310E+01  0.26118E+01  0.36070E+01
  0.00000E+00  0.00000E+00  0.70711E+00  0.16310E+01  0.26118E+01  0.36070E+01  0.46058E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.92388E+00  0.19047E+01  0.28998E+01  0.38986E+01  0.48983E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.98079E+00  0.19760E+01  0.29748E+01  0.39745E+01  0.49744E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.99518E+00  0.19940E+01  0.29937E+01  0.39936E+01  0.49936E+01


  MATRIX B 
 -0.18370E-15
 -0.18370E-15 -0.10000E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01 -0.20898E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01 -0.20898E+01 -0.22849E+01
  0.00000E+00 -0.10000E+01 -0.17071E+01 -0.20898E+01 -0.22849E+01 -0.23829E+01
  0.00000E+00  0.00000E+00 -0.70711E+00 -0.10898E+01 -0.12849E+01 -0.13829E+01 -0.14320E+01
  0.00000E+00  0.00000E+00  0.00000E+00 -0.38268E+00 -0.57777E+00 -0.67579E+00 -0.72486E+00 -0.74940E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00 -0.19509E+00 -0.29311E+00 -0.34218E+00 -0.36672E+00 -0.37899E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00 -0.98017E-01 -0.14708E+00 -0.17163E+00 -0.18390E+00 -0.19003E+00



           PX                   PY                   SX                   SY                   AP           KPD TYPE
   -1.000000000000D+00  -1.836960352710D-16   0.000000000000D+00   1.000000000000D+00  -1.836960352710D-16   0   1
    7.850462293419D-17  -5.000000000000D-01  -1.000000000000D+00  -1.836960352710D-16   1.334339439052D-17   1   1
    4.619397662556D-01  -1.913417161825D-01  -7.071067811865D-01  -7.071067811865D-01  -1.913417130709D-01   3   1
    4.903926402016D-01  -9.754516100806D-02  -1.950903220161D-01  -9.807852804032D-01  -3.191891195797D-16   4   1
    3.317282422241D-01  -3.267238010985D-02  -9.801714032956D-02  -9.951847266722D-01   1.040834085586D-16   5   1
    1.665411895751D-01  -6.134075237528D-03  -4.906767432742D-02  -9.987954562052D-01  -2.045102417469D-03   7   1

 TERMINATED BY CHLSKY AFTER   6 ITERATIONS.
 ALPHA =   -1.840672990580D-02.  BETA =   -9.998305817958D-01

                                                   SYMMETRIC EXAMPLE  4
 N =    20?5 M =     5
  MATRIX A 
 -0.98769E+00
 -0.98769E+00 -0.11441E+01
 -0.98769E+00 -0.11441E+01 -0.55634E+00
 -0.98769E+00 -0.11441E+01 -0.55634E+00  0.29630E+00
 -0.98769E+00 -0.11441E+01 -0.55634E+00  0.29630E+00  0.12345E+01
 -0.98769E+00 -0.11441E+01 -0.55634E+00  0.29630E+00  0.12345E+01  0.22021E+01
  0.00000E+00 -0.15643E+00  0.43135E+00  0.12840E+01  0.22222E+01  0.31898E+01  0.41686E+01
  0.00000E+00  0.00000E+00  0.58779E+00  0.14404E+01  0.23786E+01  0.33462E+01  0.43250E+01  0.53086E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.85264E+00  0.17908E+01  0.27584E+01  0.37373E+01  0.47208E+01  0.57065E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.93819E+00  0.19058E+01  0.28846E+01  0.38682E+01  0.48539E+01  0.58406E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.96760E+00  0.19464E+01  0.29300E+01  0.39157E+01  0.49024E+01
  0.58896E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.97882E+00  0.19624E+01  0.29481E+01  0.39348E+01
  0.49220E+01  0.59094E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.98355E+00  0.19692E+01  0.29560E+01
  0.39432E+01  0.49306E+01  0.59182E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.98569E+00  0.19724E+01
  0.29596E+01  0.39471E+01  0.49346E+01  0.59223E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.98671E+00
  0.19739E+01  0.29614E+01  0.39489E+01  0.49366E+01  0.59242E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.98720E+00  0.19747E+01  0.29622E+01  0.39498E+01  0.49375E+01  0.59252E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.98745E+00  0.19750E+01  0.29626E+01  0.39503E+01  0.49380E+01  0.59257E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.98757E+00  0.19752E+01  0.29629E+01  0.39505E+01  0.49382E+01  0.59259E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.98763E+00  0.19753E+01  0.29630E+01  0.39506E+01  0.49383E+01  0.59260E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.98766E+00  0.19753E+01  0.29630E+01  0.39507E+01  0.49384E+01  0.59261E+01


  MATRIX B 
  0.15643E+00
  0.15643E+00 -0.83125E+00
  0.15643E+00 -0.83125E+00 -0.16403E+01
  0.15643E+00 -0.83125E+00 -0.16403E+01 -0.21628E+01
  0.15643E+00 -0.83125E+00 -0.16403E+01 -0.21628E+01 -0.25089E+01
  0.15643E+00 -0.83125E+00 -0.16403E+01 -0.21628E+01 -0.25089E+01 -0.27614E+01
  0.00000E+00 -0.98769E+00 -0.17967E+01 -0.23192E+01 -0.26653E+01 -0.29178E+01 -0.31225E+01
  0.00000E+00  0.00000E+00 -0.80902E+00 -0.13315E+01 -0.16776E+01 -0.19301E+01 -0.21348E+01 -0.23155E+01
  0.00000E+00  0.00000E+00  0.00000E+00 -0.52250E+00 -0.86862E+00 -0.11211E+01 -0.13258E+01 -0.15064E+01 -0.16750E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00 -0.34612E+00 -0.59861E+00 -0.80332E+00 -0.98394E+00 -0.11525E+01 -0.13150E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00 -0.25249E+00 -0.45720E+00 -0.63783E+00 -0.80637E+00 -0.96886E+00
 -0.11283E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00 -0.20471E+00 -0.38534E+00 -0.55388E+00 -0.71637E+00
 -0.87584E+00 -0.10338E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00 -0.18063E+00 -0.34917E+00 -0.51166E+00
 -0.67113E+00 -0.82907E+00 -0.98627E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00 -0.16854E+00 -0.33104E+00
 -0.49050E+00 -0.64845E+00 -0.80564E+00 -0.96245E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00 -0.16249E+00
 -0.32196E+00 -0.47991E+00 -0.63710E+00 -0.79391E+00 -0.95053E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
 -0.15946E+00 -0.31741E+00 -0.47461E+00 -0.63142E+00 -0.78804E+00 -0.94457E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00 -0.15795E+00 -0.31514E+00 -0.47195E+00 -0.62858E+00 -0.78511E+00 -0.94159E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00 -0.15719E+00 -0.31401E+00 -0.47063E+00 -0.62716E+00 -0.78364E+00 -0.94010E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00 -0.15681E+00 -0.31344E+00 -0.46997E+00 -0.62645E+00 -0.78291E+00 -0.93935E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00 -0.15662E+00 -0.31315E+00 -0.46963E+00 -0.62609E+00 -0.78254E+00 -0.93898E+00



           PX                   PY                   SX                   SY                   AP           KPD TYPE
   -7.821725101493D-02  -4.938441673683D-01   0.000000000000D+00   1.000000000000D+00  -4.938441812992D-01   1   1

 THE PAIR IS DEFINITE.
 ALPHA =   -1.564345020299D-01.  BETA =   -9.876883347366D-01

                                                   SYMMETRIC EXAMPLE  5
 N =     9?5 M =     3
  MATRIX A 
  0.00000E+00
  0.12246E-15  0.10000E+01
  0.12246E-15  0.10000E+01  0.17071E+01
  0.12246E-15  0.10000E+01  0.17071E+01  0.20898E+01
  0.00000E+00  0.10000E+01  0.17071E+01  0.20898E+01  0.22849E+01
  0.00000E+00  0.00000E+00  0.70711E+00  0.10898E+01  0.12849E+01  0.13829E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.38268E+00  0.57777E+00  0.67579E+00  0.72486E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.19509E+00  0.29311E+00  0.34218E+00  0.36672E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.98017E-01  0.14708E+00  0.17163E+00  0.18390E+00


  MATRIX B 
  0.00000E+00
 -0.10000E+01 -0.10000E+01
 -0.10000E+01 -0.10000E+01 -0.29289E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00
  0.00000E+00  0.61232E-16  0.70711E+00  0.16310E+01  0.26118E+01
  0.00000E+00  0.00000E+00  0.70711E+00  0.16310E+01  0.26118E+01  0.36070E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.92388E+00  0.19047E+01  0.28998E+01  0.38986E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.98079E+00  0.19760E+01  0.29748E+01  0.39745E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.99518E+00  0.19940E+01  0.29937E+01  0.39936E+01



           PX                   PY                   SX                   SY                   AP           KPD TYPE
    0.000000000000D+00   0.000000000000D+00   0.000000000000D+00   1.000000000000D+00   0.000000000000D+00   0   1

 THE PAIR IS NOT DEFINITE.

                                                   SYMMETRIC EXAMPLE  6
 N =    10?5 M =     4
  MATRIX A 
 -0.10000E+01
 -0.10000E+01 -0.10000E+01
 -0.10000E+01 -0.10000E+01 -0.29289E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00
 -0.10000E+01 -0.10000E+01 -0.29289E+00  0.63099E+00  0.16118E+01
  0.00000E+00  0.12246E-15  0.70711E+00  0.16310E+01  0.26118E+01  0.36070E+01
  0.00000E+00  0.00000E+00  0.70711E+00  0.16310E+01  0.26118E+01  0.36070E+01  0.46058E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.92388E+00  0.19047E+01  0.28998E+01  0.38986E+01  0.48983E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.98079E+00  0.19760E+01  0.29748E+01  0.39745E+01  0.49744E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.99518E+00  0.19940E+01  0.29937E+01  0.39936E+01  0.39936E+01


  MATRIX B 
 -0.18370E-15
 -0.18370E-15 -0.10000E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01 -0.20898E+01
 -0.18370E-15 -0.10000E+01 -0.17071E+01 -0.20898E+01 -0.22849E+01
  0.00000E+00 -0.10000E+01 -0.17071E+01 -0.20898E+01 -0.22849E+01 -0.23829E+01
  0.00000E+00  0.00000E+00 -0.70711E+00 -0.10898E+01 -0.12849E+01 -0.13829E+01 -0.14320E+01
  0.00000E+00  0.00000E+00  0.00000E+00 -0.38268E+00 -0.57777E+00 -0.67579E+00 -0.72486E+00 -0.74940E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00 -0.19509E+00 -0.29311E+00 -0.34218E+00 -0.36672E+00 -0.37899E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00 -0.98017E-01 -0.14708E+00 -0.17163E+00 -0.18390E+00  0.81610E+00



           PX                   PY                   SX                   SY                   AP           KPD TYPE
   -1.000000000000D+00  -1.836960352710D-16   0.000000000000D+00   1.000000000000D+00  -1.836960352710D-16   0   1
    7.850462293419D-17  -5.000000000000D-01  -1.000000000000D+00  -1.836960352710D-16   1.334339439052D-17   1   1
    4.619397662556D-01  -1.913417161825D-01  -7.071067811865D-01  -7.071067811865D-01  -1.913417130709D-01   3   1
    4.903926402016D-01  -9.754516100806D-02  -1.950903220161D-01  -9.807852804032D-01  -3.191891195797D-16   4   1
    3.317282422241D-01  -3.267238010985D-02  -9.801714032956D-02  -9.951847266722D-01   1.040834085586D-16   5   1
    1.665411895751D-01  -6.134075237528D-03  -4.906767432742D-02  -9.987954562052D-01  -2.045102417469D-03   7   1
    2.499811754598D-01  -3.067884571430D-03  -1.840672990580D-02  -9.998305817958D-01  -1.533971168101D-03   8   1
   -3.243712015819D-17   2.500000000000D-01  -6.135884649157D-03  -9.999811752826D-01  -2.499952912331D-01   9   1

 THE PAIR IS NOT DEFINITE.

                                                   SYMMETRIC EXAMPLE  7
 N =    10?5 M =     0
  MATRIX A 
  0.12246E-15
  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.70711E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.38268E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.19509E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.98017E-01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.49068E-01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.24541E-01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.12272E-01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.61359E-02


  MATRIX B 
 -0.10000E+01
  0.00000E+00  0.10000E+01
  0.00000E+00  0.00000E+00  0.70711E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.92388E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.98079E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.99518E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.99880E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.99970E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.99992E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.99998E+00



           PX                   PY                   SX                   SY                   AP           KPD TYPE
    1.224640235140D-16  -1.000000000000D+00   0.000000000000D+00   1.000000000000D+00  -1.000000000000D+00   0   1
    0.000000000000D+00   1.000000000000D+00   1.224640235140D-16  -1.000000000000D+00  -1.000000000000D+00   1   1
    0.000000000000D+00   1.000000000000D+00   1.000000000000D+00   0.000000000000D+00   0.000000000000D+00   1   1

 THE PAIR IS NOT DEFINITE.
