Hilbert Slice.  Test case 1 of size 3.
MATRIX FOLLOWS
  0|  1.0000e+00  5.0000e-01  3.3333e-01
  1|  5.0000e-01  3.3333e-01  2.5000e-01
  2|  3.3333e-01  2.5000e-01  2.0000e-01

SOLUTION
  0|  1.0000e+00  0.0000e+00 -1.0000e+00

RIGHT HAND SIDE
  0|  6.6667e-01  2.5000e-01  1.3333e-01

TRANSPOSE RIGHT HAND SIDE
  0|  6.6667e-01  2.5000e-01  1.3333e-01

One-Norm(A) ---------- 1.833333e+00.
FACTORED MATRIX FOLLOWS
  0|  1.0000e+00  5.0000e-01  3.3333e-01
  1| -5.0000e-01  8.3333e-02  8.3333e-02
  2| -3.3333e-01 -1.0000e+00  5.5556e-03

True Solution
  0|  1.0000e+00  0.0000e+00 -1.0000e+00

Solution
  0|  1.0000e+00  1.7881e-07 -1.0000e+00

 For Ax=b.    Absolute error = 1.884864e-07.  Relative error = 1.332800e-07.
Solution to transposed system
  0|  1.0000e+00  1.5497e-06 -1.0000e+00

 For A^Tx=b.  Absolute error = 2.061321e-06.  Relative error = 1.457574e-06.


**********************************************************************
Hilbert Slice.  Test case 2 of size 6.
MATRIX FOLLOWS
  0|  1.0000e+00  5.0000e-01  3.3333e-01  2.5000e-01  0.0000e+00  0.0000e+00

  1|  5.0000e-01  3.3333e-01  2.5000e-01  2.0000e-01  1.6667e-01  0.0000e+00

  2|  3.3333e-01  2.5000e-01  2.0000e-01  1.6667e-01  1.4286e-01  1.2500e-01

  3|  0.0000e+00  2.0000e-01  1.6667e-01  1.4286e-01  1.2500e-01  1.1111e-01

  4|  0.0000e+00  0.0000e+00  1.4286e-01  1.2500e-01  1.1111e-01  1.0000e-01

  5|  0.0000e+00  0.0000e+00  0.0000e+00  1.1111e-01  1.0000e-01  9.0909e-02


SOLUTION
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00

RIGHT HAND SIDE
  0|  6.6667e-01  4.1667e-01  2.7619e-01 -4.1667e-02 -3.1746e-02  1.0000e-01

TRANSPOSE RIGHT HAND SIDE
  0|  6.6667e-01  2.5000e-01  2.7619e-01  2.0833e-01 -3.1746e-02 -2.5000e-02

One-Norm(A) ---------- 1.833333e+00.
FACTORED MATRIX FOLLOWS
  0|  1.0000e+00  5.0000e-01  3.3333e-01  2.5000e-01  0.0000e+00  0.0000e+00

  1| -5.0000e-01  2.0000e-01  1.6667e-01  1.4286e-01  1.2500e-01  1.1111e-01

  2| -3.3333e-01 -4.1667e-01  1.4286e-01  1.2500e-01  1.1111e-01  1.0000e-01

  3|  0.0000e+00 -4.1667e-01 -9.7222e-02  1.1111e-01  1.0000e-01  9.0909e-02

  4|  0.0000e+00  0.0000e+00 -1.3611e-01 -6.1161e-02  1.0079e-01 -5.8738e-02

  5|  0.0000e+00  0.0000e+00  0.0000e+00 -2.9911e-02 -6.8989e-01  1.0006e-01


True Solution
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00

Solution
  0|  1.0000e+00  0.0000e+00 -1.0000e+00 -6.7055e-08  1.0000e+00 -1.4893e-07

 For Ax=b.    Absolute error = 2.889978e-07.  Relative error = 1.668530e-07.
Solution to transposed system
  0|  1.0000e+00 -5.9605e-08 -1.0000e+00  5.9605e-08  1.0000e+00 -1.5274e-07

 For A^Tx=b.  Absolute error = 1.843548e-07.  Relative error = 1.064373e-07.


**********************************************************************
Hilbert Slice.  Test case 3 of size 9.
One-Norm(A) ---------- 1.833333e+00.
 For Ax=b.    Absolute error = 1.155101e-05.  Relative error = 5.165769e-06.
 For A^Tx=b.  Absolute error = 4.500883e-06.  Relative error = 2.012856e-06.


**********************************************************************
Monoelemental.  Test case 4 of size 1.
MATRIX FOLLOWS
  0|  3.0000e+00

SOLUTION
  0|  1.0000e+00

RIGHT HAND SIDE
  0|  3.0000e+00

TRANSPOSE RIGHT HAND SIDE
  0|  3.0000e+00

One-Norm(A) ---------- 3.000000e+00.
FACTORED MATRIX FOLLOWS
  0|  3.0000e+00

True Solution
  0|  1.0000e+00

Solution
  0|  1.0000e+00

 For Ax=b.    Absolute error = 0.000000e+00.  Relative error = 0.000000e+00.
Solution to transposed system
  0|  1.0000e+00

 For A^Tx=b.  Absolute error = 0.000000e+00.  Relative error = 0.000000e+00.


**********************************************************************
Monoelemental.  Test case 5 of size 1.
MATRIX FOLLOWS
  0|  0.0000e+00

SOLUTION
  0|  1.0000e+00

RIGHT HAND SIDE
  0|  0.0000e+00

TRANSPOSE RIGHT HAND SIDE
  0|  0.0000e+00

One-Norm(A) ---------- 0.000000e+00.
Zero Column 1 found 


**********************************************************************
Tridiagional.  Test case 6 of size 15.
One-Norm(A) ---------- 6.000000e+00.
 For Ax=b.    Absolute error = 0.000000e+00.  Relative error = 0.000000e+00.
 For A^Tx=b.  Absolute error = 0.000000e+00.  Relative error = 0.000000e+00.


**********************************************************************
Tridiagional.  Test case 7 of size 15.
One-Norm(A) ---------- 1.050000e+02.
 For Ax=b.    Absolute error = 0.000000e+00.  Relative error = 0.000000e+00.
 For A^Tx=b.  Absolute error = 0.000000e+00.  Relative error = 0.000000e+00.


**********************************************************************
Tridiagional.  Test case 8 of size 15.
One-Norm(A) ---------- 1.050000e+02.
 For Ax=b.    Absolute error = 2.625374e+07.  Relative error = 9.282099e+06.
 For A^Tx=b.  Absolute error = 1.000835e+00.  Relative error = 3.538487e-01.


**********************************************************************
Rank One.  Test case 9 of size 5.
MATRIX FOLLOWS
  0|  1.0000e+00  1.0000e-01  1.0000e-02  1.0000e-03  1.0000e-04
  1|  1.0000e+01  1.0000e+00  1.0000e-01  1.0000e-02  1.0000e-03
  2|  1.0000e+02  1.0000e+01  1.0000e+00  1.0000e-01  1.0000e-02
  3|  1.0000e+03  1.0000e+02  1.0000e+01  1.0000e+00  1.0000e-01
  4|  1.0000e+04  1.0000e+03  1.0000e+02  1.0000e+01  1.0000e+00

SOLUTION
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00

RIGHT HAND SIDE
  0|  9.9010e-01  9.9010e+00  9.9010e+01  9.9010e+02  9.9010e+03

TRANSPOSE RIGHT HAND SIDE
  0|  9.9010e+03  9.9010e+02  9.9010e+01  9.9010e+00  9.9010e-01

One-Norm(A) ---------- 1.111100e+04.
FACTORED MATRIX FOLLOWS
  0|  1.0000e+04  1.0000e+03  1.0000e+02  1.0000e+01  1.0000e+00
  1| -1.0000e-03  7.6294e-06  9.5367e-07  5.9605e-08  7.4506e-09
  2| -1.0000e-02  0.0000e+00 -9.3132e-10  5.8208e-11 -7.2760e-12
  3| -1.0000e-01 -7.8125e-03  0.0000e+00  7.4506e-09  0.0000e+00
  4| -1.0000e-04 -9.7656e-04  0.0000e+00  6.2500e-02  5.8208e-11

True Solution
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00

Solution
  0| -2.3230e-01 -8.0000e+00 -6.4000e+01  1.0240e+03  1.6384e+04

 For Ax=b.    Absolute error = 1.641509e+04.  Relative error = 9.477259e+03.
Solution to transposed system
  0| -8.1920e+03  0.0000e+00  1.2800e+02  0.0000e+00  5.2930e-01

 For A^Tx=b.  Absolute error = 8.194016e+03.  Relative error = 4.730817e+03.


**********************************************************************
Zero Column.  Test case 10 of size 4.
MATRIX FOLLOWS
  0| -2.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00
  1| -1.0000e+00 -5.0000e-01  0.0000e+00  5.0000e-01
  2| -6.6667e-01 -3.3333e-01  0.0000e+00  3.3333e-01
  3| -5.0000e-01 -2.5000e-01  0.0000e+00  2.5000e-01

SOLUTION
  0|  1.0000e+00  1.0000e+01 -1.0000e+00 -1.0000e+01

RIGHT HAND SIDE
  0| -2.2000e+01 -1.1000e+01 -7.3333e+00 -5.5000e+00

TRANSPOSE RIGHT HAND SIDE
  0| -6.3333e+00 -3.1667e+00  0.0000e+00  3.1667e+00

One-Norm(A) ---------- 4.166667e+00.
Zero Column 4 found 


**********************************************************************
Upper Triangular.  Test case 11 of size 6.
MATRIX FOLLOWS
  0|  1.0000e+00  0.0000e+00 -1.0000e+00 -2.0000e+00 -3.0000e+00 -4.0000e+00

  1|  0.0000e+00  1.0000e+00  0.0000e+00 -1.0000e+00 -2.0000e+00 -3.0000e+00

  2|  0.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00 -1.0000e+00 -2.0000e+00

  3|  0.0000e+00  0.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00 -1.0000e+00

  4|  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00

  5|  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  1.0000e+00


SOLUTION
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00

RIGHT HAND SIDE
  0| -1.0000e+00 -2.0000e+00 -2.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00

TRANSPOSE RIGHT HAND SIDE
  0|  1.0000e+00  0.0000e+00 -2.0000e+00 -2.0000e+00 -1.0000e+00 -2.0000e+00

One-Norm(A) ---------- 1.100000e+01.
FACTORED MATRIX FOLLOWS
  0|  1.0000e+00  0.0000e+00 -1.0000e+00 -2.0000e+00 -3.0000e+00 -4.0000e+00

  1|  0.0000e+00  1.0000e+00  0.0000e+00 -1.0000e+00 -2.0000e+00 -3.0000e+00

  2|  0.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00 -1.0000e+00 -2.0000e+00

  3|  0.0000e+00  0.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00 -1.0000e+00

  4|  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00

  5|  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  1.0000e+00


True Solution
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00

Solution
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00

 For Ax=b.    Absolute error = 0.000000e+00.  Relative error = 0.000000e+00.
Solution to transposed system
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00

 For A^Tx=b.  Absolute error = 0.000000e+00.  Relative error = 0.000000e+00.


**********************************************************************
Lower Triangular.  Test case 12 of size 6.
MATRIX FOLLOWS
  0|  1.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00

  1|  2.0000e+00  1.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00

  2|  3.0000e+00  2.0000e+00  1.0000e+00  0.0000e+00  0.0000e+00  0.0000e+00

  3|  4.0000e+00  3.0000e+00  2.0000e+00  1.0000e+00  0.0000e+00  0.0000e+00

  4|  5.0000e+00  4.0000e+00  3.0000e+00  2.0000e+00  1.0000e+00  0.0000e+00

  5|  6.0000e+00  5.0000e+00  4.0000e+00  3.0000e+00  2.0000e+00  1.0000e+00


SOLUTION
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00

RIGHT HAND SIDE
  0|  1.0000e+00  2.0000e+00  2.0000e+00  2.0000e+00  3.0000e+00  4.0000e+00

TRANSPOSE RIGHT HAND SIDE
  0|  3.0000e+00  2.0000e+00  2.0000e+00  2.0000e+00  1.0000e+00  0.0000e+00

One-Norm(A) ---------- 2.100000e+01.
FACTORED MATRIX FOLLOWS
  0|  6.0000e+00  5.0000e+00  4.0000e+00  3.0000e+00  2.0000e+00  1.0000e+00

  1| -3.3333e-01 -8.3333e-01 -6.6667e-01 -5.0000e-01 -3.3333e-01 -1.6667e-01

  2| -5.0000e-01 -6.0000e-01 -8.0000e-01 -6.0000e-01 -4.0000e-01 -2.0000e-01

  3| -6.6667e-01 -4.0000e-01 -5.0000e-01 -7.5000e-01 -5.0000e-01 -2.5000e-01

  4| -8.3333e-01 -2.0000e-01 -2.5000e-01 -3.3333e-01 -6.6667e-01 -3.3333e-01

  5| -1.6667e-01 -8.0000e-01 -7.5000e-01 -6.6667e-01 -5.0000e-01 -5.0000e-01


True Solution
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00  0.0000e+00

Solution
  0|  1.0000e+00  0.0000e+00 -1.0000e+00 -3.9736e-08  1.0000e+00  3.5763e-07

 For Ax=b.    Absolute error = 3.647319e-07.  Relative error = 2.105781e-07.
Solution to transposed system
  0|  1.0000e+00  5.9605e-08 -1.0000e+00 -2.9802e-07  1.0000e+00  5.9605e-08

 For A^Tx=b.  Absolute error = 7.609812e-07.  Relative error = 4.393527e-07.


**********************************************************************
Near Overflow.  Test case 13 of size 5. BIG = 1.000000e+38
MATRIX FOLLOWS
  0|  4.0000e+36  4.0000e+36  4.0000e+36  4.0000e+36  4.0000e+36
  1|  2.0000e+36  4.0000e+36  4.0000e+36  4.0000e+36  4.0000e+36
  2|  1.3333e+36  2.6667e+36  4.0000e+36  4.0000e+36  4.0000e+36
  3|  1.0000e+36  2.0000e+36  3.0000e+36  4.0000e+36  4.0000e+36
  4|  8.0000e+35  1.6000e+36  2.4000e+36  3.2000e+36  4.0000e+36

SOLUTION
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00

RIGHT HAND SIDE
  0|  4.0000e+36  2.0000e+36  1.3333e+36  2.0000e+36  2.4000e+36

TRANSPOSE RIGHT HAND SIDE
  0|  3.4667e+36  2.9333e+36  2.4000e+36  3.2000e+36  4.0000e+36

One-Norm(A) ---------- 2.000000e+37.
FACTORED MATRIX FOLLOWS
  0|  4.0000e+36  4.0000e+36  4.0000e+36  4.0000e+36  4.0000e+36
  1| -5.0000e-01  2.0000e+36  2.0000e+36  2.0000e+36  2.0000e+36
  2| -3.3333e-01 -6.6667e-01  1.3333e+36  1.3333e+36  1.3333e+36
  3| -2.5000e-01 -5.0000e-01 -7.5000e-01  1.0000e+36  1.0000e+36
  4| -2.0000e-01 -4.0000e-01 -6.0000e-01 -8.0000e-01  8.0000e+35

True Solution
  0|  1.0000e+00  0.0000e+00 -1.0000e+00  0.0000e+00  1.0000e+00

Solution
  0|  1.0000e+00  7.9228e-08 -1.0000e+00  5.5460e-07  1.0000e+00

 For Ax=b.    Absolute error = 7.571020e-07.  Relative error = 4.371130e-07.
Solution to transposed system
  0|  1.0000e+00 -1.4901e-07 -1.0000e+00  0.0000e+00  1.0000e+00

 For A^Tx=b.  Absolute error = 2.250026e-07.  Relative error = 1.299053e-07.


**********************************************************************
Near Underflow.  Test case 14 of size 5. SMALL = 1.000000e-38
MATRIX FOLLOWS
  0|  2.5000e-37  2.5000e-37  2.5000e-37  2.5000e-37  2.5000e-37
  1|  5.0000e-37  2.5000e-37  2.5000e-37  2.5000e-37  2.5000e-37
  2|  7.5000e-37  3.7500e-37  2.5000e-37  2.5000e-37  2.5000e-37
  3|  1.0000e-36  5.0000e-37  3.3333e-37  2.5000e-37  2.5000e-37
  4|  1.2500e-36  6.2500e-37  4.1667e-37  3.1250e-37  2.5000e-37

SOLUTION
  0|  1.0000e+00  1.4901e-07 -1.0000e+00 -1.4901e-07  1.0000e+00

RIGHT HAND SIDE
  0|  2.5000e-37  5.0000e-37  7.5000e-37  9.1667e-37  1.0833e-36

TRANSPOSE RIGHT HAND SIDE
  0|  7.5000e-37  5.0000e-37  4.1667e-37  3.1250e-37  2.5000e-37

One-Norm(A) ---------- 3.750000e-36.
FACTORED MATRIX FOLLOWS
  0|  1.2500e-36  6.2500e-37  4.1667e-37  3.1250e-37  2.5000e-37
  1| -4.0000e-01  1.2500e-37  1.6667e-37  1.8750e-37  2.0000e-37
  2| -6.0000e-01 -1.7937e-07  8.3333e-38  1.2500e-37  1.5000e-37
  3| -8.0000e-01  0.0000e+00 -2.6905e-07  6.2500e-38  1.0000e-37
  4| -2.0000e-01  0.0000e+00  8.4078e-08  5.3810e-07  5.0000e-38

True Solution
  0|  1.0000e+00  1.4901e-07 -1.0000e+00 -1.4901e-07  1.0000e+00

Solution
  0|  1.0000e+00  1.7937e-07 -1.0000e+00 -3.0492e-06  1.0000e+00

 For Ax=b.    Absolute error = 4.261550e-06.  Relative error = 2.460407e-06.
Solution to transposed system
  0|  1.0000e+00  4.5402e-07 -1.0000e+00  4.4842e-07  1.0000e+00

 For A^Tx=b.  Absolute error = 1.016167e-06.  Relative error = 5.866841e-07.


**********************************************************************
MATGEN: All tests complete.