02 January 2018 09:38:02 PM

MINPACK_TEST
  C++ version:
  Test the MINPACK library.

CHKDER_TEST
  CHKDER compares a user supplied jacobian
  and a finite difference approximation to it
  and judges whether the jacobian is correct.

  On the first test, use a correct jacobian.

  Evaluation point X:

        0.218418
        0.956318
        0.829509
        0.561695
        0.415307

  Sampled function values F(X) and F(XP)

         0        -2.80033        -2.80033
         1        -2.06243        -2.06243
         2        -2.18924        -2.18924
         3        -2.45706        -2.45706
         4       -0.959581       -0.959581

  Computed jacobian:

             2             1             1             1             1
             1             2             1             1             1
             1             1             2             1             1
             1             1             1             2             1
      0.185052      0.042265     0.0487261     0.0719584     0.0973225

  CHKDER gradient component error estimates:
     > 0.5, the component is probably correct.
     < 0.5, the component is probably incorrect.

         0               1
         1               1
         2               1
         3               1
         4               1

  Repeat the test, but use a bad jacobian
  and see if the routine notices.

  Evaluation point X:

        0.218418
        0.956318
        0.829509
        0.561695
        0.415307

  Sampled function values F(X) and F(XP)

         0        -2.80033        -2.80033
         1        -2.06243        -2.06243
         2        -2.18924        -2.18924
         3        -2.45706        -2.45706
         4       -0.959581       -0.959581

  Computed jacobian:

          2.02             1             1             1             1
             1             2            -1             1             1
             1             1             2             1             1
             1             1             1             2             1
      0.185052      0.042265     0.0487261     0.0719584     0.0973225

  CHKDER gradient component error estimates:
     > 0.5, the component is probably correct.
     < 0.5, the component is probably incorrect.

         0        0.397087
         1       0.0505392
         2               1
         3               1
         4               1

HYBRD1_TEST
  HYBRD1 solves a nonlinear system of equations.

  Initial X

         0               3
         1               0

  F(X)

         0             -13
         1              11

  Returned value of INFO = 1

  X

         0               1
         1               1

  F(X)

         0    -9.61951e-11
         1    -1.23539e-10

QFORM_TEST:
  QFORM constructs the Q factor explicitly
  after the use of QRFAC.

  Matrix A:

  Col:          1             2             3             4             5       
  Row

    1      0.218418     0.0661187     0.0617272    0.00183837      0.859097  
    2      0.956318      0.257578      0.449539      0.897504      0.840847  
    3      0.829509      0.109957      0.401306      0.350752      0.123104  
    4      0.561695      0.043829      0.754673     0.0945448    0.00751236  
    5      0.415307      0.633966      0.797287     0.0136169      0.260303  

  Col:          6             7       
  Row

    1      0.912484      0.692066  
    2      0.113664      0.561662  
    3      0.351629      0.861216  
    4      0.822887      0.453794  
    5      0.267132      0.911977  

  Matrix R:

  Col:          1             2             3             4             5       
  Row

    1       -1.4623      -0.43759      -1.04718     -0.826379     -0.824866  
    2             0      0.543284      0.449661     -0.145361      0.168092  
    3             0             0     -0.522842      0.331765      0.469999  
    4             0             0             0     -0.351522     0.0269413  
    5             0             0             0             0      0.773147  

  Col:          6             7       
  Row

    1     -0.802049      -1.39255  
    2     -0.031799      0.503999  
    3      -0.49142     -0.048811  
    4      0.557348       0.56484  
    5      0.721989      0.243141  

  Matrix Q:

  Col:          1             2             3             4             5       
  Row

    1     -0.149366    0.00139434      0.182298      0.517385      0.822659  
    2     -0.653982    -0.0526396      0.404763     -0.611992      0.176547  
    3     -0.567264     -0.254512      0.149713      0.582292     -0.501954  
    4     -0.384118     -0.228715     -0.870775    -0.0932054      0.182224  
    5      -0.28401      0.938158     -0.149232      0.100139    -0.0830665  

  Matrix A2 = Q * R:

  Col:          1             2             3             4             5       
  Row

    1      0.218418     0.0661187     0.0617272    0.00183837      0.859097  
    2      0.956318      0.257578      0.449539      0.897504      0.840847  
    3      0.829509      0.109957      0.401306      0.350752      0.123104  
    4      0.561695      0.043829      0.754673     0.0945448    0.00751236  
    5      0.415307      0.633966      0.797287     0.0136169      0.260303  

  Col:          6             7       
  Row

    1      0.912484      0.692066  
    2      0.113664      0.561662  
    3      0.351629      0.861216  
    4      0.822887      0.453794  
    5      0.267132      0.911977  

MINPACK_TEST
  Normal end of execution.

02 January 2018 09:38:02 PM