10-Oct-2020 18:46:14

test_nonlin_test
  MATLAB/Octave version 4.2.2
  test_nonlin() defines a set of sample systems of
  nonlinear equations.

test_nonlin_test01
  Print the title of each problem.

   1  "Generalized Rosenbrock function"
   2  "Powell singular function"
   3  "Powell badly scaled function"
   4  "Wood function"
   5  "Helical valley function"
   6  "Watson function"
   7  "Chebyquad function"
   8  "Brown almost linear function"
   9  "Discrete boundary value function"
  10  "Discrete integral equation function"
  11  "Trigonometric function"
  12  "Variably dimensioned function"
  13  "Broyden tridiagonal function"
  14  "Broyden banded function"
  15  "Hammarling 2 by 2 matrix square root problem"
  16  "Hammarling 3 by 3 matrix square root problem"
  17  "Dennis and Schnabel 2 by 2 example"
  18  "Sample problem 18"
  19  "Sample problem 19"
  20  "Scalar problem f(x) = x * ( x - 5 ) * ( x - 5 )"
  21  "Freudenstein-Roth function"
  22  "Boggs function"
  23  "Chandrasekhar function"

test_nonlin_test02
  Evaluate the norm of the function at the starting point
  and at the root, if known.

   #    ------------------------------------------Title    N     ||F(start)||   ||F(root)||

   1                     Generalized Rosenbrock function  10       4.91935             0
   2                            Powell singular function   4       14.6629             0
   3                        Powell badly scaled function   2       1.06549   3.81479e-07
   4                                       Wood function   4       8550.56             0
   5                             Helical valley function   3            50             0
   6                                     Watson function  10       94.9722             ?
   7                                  Chebyquad function   9       0.16995   2.31467e-10
   8                        Brown almost linear function  10       16.5302             0
   9                    Discrete boundary value function  10     0.0280806             ?
  10                 Discrete integral equation function  10      0.251827             ?
  11                              Trigonometric function  10     0.0841175             ?
  12                       Variably dimensioned function  10   2.24021e+06             0
  13                        Broyden tridiagonal function  10       4.58258             ?
  14                             Broyden banded function  10       18.9737             ?
  15        Hammarling 2 by 2 matrix square root problem   4       1.73194             0
  16        Hammarling 3 by 3 matrix square root problem   9       1.99985             0
  17                  Dennis and Schnabel 2 by 2 example   2       17.2627             0
  18                                   Sample problem 18   2       2.19511             0
  19                                   Sample problem 19   2       76.3675             0
  20     Scalar problem f(x) = x * ( x - 5 ) * ( x - 5 )   1            16             0
  21                          Freudenstein-Roth function   2       20.0125             0
  22                                      Boggs function   2             2   6.12323e-17
  23                              Chandrasekhar function  10       1.02037             ?

test_nonlin_test03
  Seek a root using fsolve()

   #    ------------------------------------------Title    N     ||F(start)||   ||F(root)||

   1                     Generalized Rosenbrock function  10       4.91935       1.98093
   2                            Powell singular function   4       14.6629     7.308e-14
   3                        Powell badly scaled function   2       1.06549    0.00236243
   4                                       Wood function   4       8550.56   4.72484e-07
   5                             Helical valley function   3            50   8.46601e-08
   6                                     Watson function  10       94.9722   8.18536e-06
   7                                  Chebyquad function   9       0.16995   4.78651e-07
   8                        Brown almost linear function  10       16.5302   1.74975e-06
   9                    Discrete boundary value function  10     0.0280806   3.10992e-08
  10                 Discrete integral equation function  10      0.251827   3.72516e-07
  11                              Trigonometric function  10     0.0841175   4.54304e-08
  12                       Variably dimensioned function  10   2.24021e+06   0.000124995
  13                        Broyden tridiagonal function  10       4.58258   2.86965e-07
  14                             Broyden banded function  10       18.9737    1.0627e-06
  15        Hammarling 2 by 2 matrix square root problem   4       1.73194    0.00200621
  16        Hammarling 3 by 3 matrix square root problem   9       1.99985    0.00124138
  17                  Dennis and Schnabel 2 by 2 example   2       17.2627   2.80587e-07
  18                                   Sample problem 18   2       2.19511   1.87959e-08
  19                                   Sample problem 19   2       76.3675   6.87136e-11
  20     Scalar problem f(x) = x * ( x - 5 ) * ( x - 5 )   1            16             0
  21                          Freudenstein-Roth function   2       20.0125       6.99888
  22                                      Boggs function   2             2   1.16212e-07
  23                              Chandrasekhar function  10       1.02037     1.646e-06

test_nonlin_test
  Normal end of execution.

10-Oct-2020 18:46:17