Implementation of 23 test cases

[Deltadahl]

Implementation of the 23 test cases in https://people.sc.fsu.edu/~jburkardt/m_src/test_nonlin/test_nonlin.html according to #142.
The result of the program looks like this:

nr  Problem                                            n     NewtonRaphson       TrustRegion         LevenbergMarquardt  nlsolve
1   Generalized Rosenbrock function                    10    2.5809e-8           4.9193              4.9193              0.0
2   Powell singular function                           4     7.0435e-16          7.941               0.021633            7.0217e-16
3   Powell badly scaled function                       2     0.0                 26897.0             2.1983e-14          0.0
4   Wood function                                      4     4.1832e-14          19081.0             8550.5              8.2157e-15
5   Helical valley function                            3     6.2775e-30          50.0                50.0                4.3667e-26
6   Watson function                                    2     18860.0             3004.4              129.15              114.89
7   Chebyquad function                                 2     5.5511e-17          0.075044            0.34127             9.4369e-16
8   Brown almost linear function                       10    0.0                 0.01533             16.53               4.4409e-16
10  Discrete integral equation function                10    2.7807e-15          1.9166e-15          9.3334e-15          5.5511e-17
11  Trigonometric function                             10    1.4753e-15          2.2808e-15          0.084117            6.8695e-16
12  Variably dimensioned function                      10    0.0                 3.5707e-311         1.376e-12           0.0
13  Broyden tridiagonal function                       10    1.2803e-15          2.7487e-15          1.1633e-13          6.6613e-16
14  Broyden banded function                            10    1.4002e-15          2.1729e-15          1.6865e-13          5.5511e-16
15  Hammarling 2 by 2 matrix square root problem       4     2.2204e-16          0.32355             0.91487             2.2204e-16
16  Hammarling 3 by 3 matrix square root problem       9     2.2204e-16          0.30203             1.0506              2.2204e-16
17  Dennis and Schnabel 2 by 2 example                 2     0.0                 4.4408e-16          17.262              0.0
18  Sample problem 18                                  2     0.0                 6.2862e-9           2.1951              8.291e-17
19  Sample problem 19                                  2     9.5092e-16          3.4505e-7           76.367              7.7402e-16
20  Scalar problem f(x) = x(x - 5)^2                   1     0.0                 1.8919e-16          2.5564e-18          0.0
21  Freudenstein-Roth function                         2     0.0                 20.012              20.012              4.949
22  Boggs function                                     2     0.0                 1.6031              2.0                 3.9431e-17
23  Chandrasekhar function                             10    6.6613e-16          9.9301e-16          1.0906e-13          2.2204e-16

[codecov]

Codecov Report

Merging #149 (5faa25e) into master (23674fa) will increase coverage by 2.37%.
The diff coverage is n/a.

@@            Coverage Diff             @@
##           master     #149      +/-   ##
==========================================
+ Coverage   88.91%   91.28%   +2.37%     
==========================================
  Files           7        7              
  Lines         505      505              
==========================================
+ Hits          449      461      +12     
+ Misses         56       44      -12     

Impacted Files	Coverage Δ
src/levenberg.jl	95.86% <0.00%> (+1.37%)	⬆️
src/trustRegion.jl	98.46% <0.00%> (+1.53%)	⬆️
src/jacobian.jl	87.17% <0.00%> (+2.56%)	⬆️
src/utils.jl	66.15% <0.00%> (+9.23%)	⬆️

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