File: newton_search_test.ref

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=====================================
    Test of Numerical optimization 
=====================================
    Line_Search 
--------------------
x0 = [-1.2 1]
F0 = 12.1
g0 = [-107.8 -44]
h = [107.8 44]
Soft: 
xn = [-0.876168 1.13218]
Fn = 8.40327
gn = [61.9977 36.4507]
no_feval = 4

trace:
alpha = [0 1 0.1 0.01 0.00300401]
F = [12.1 6.4055e+09 373081 102.177 8.40327]
dF = [-13556.8 2.59636e+10 1.74615e+07 9898.07 8287.18]

Exact: 
xn = [-1.03008 1.06935]
Fn = 2.06405
gn = [-0.322427 0.828893]
no_feval = 7

trace:
alpha = [0 1 0.1 0.01 0.00300401 0.00165196 0.00148676 0.00157625]
F = [12.1 6.4055e+09 373081 102.177 8.40327 2.08432 2.09243 2.06405]
dF = [-13556.8 2.59636e+10 1.74615e+07 9898.07 8287.18 531.883 -638.606 1.71365]

    Newton_Search 
--------------------
x0 = [-1.2 1]
xn = [1 1]
F = 5.24508e-14
norm(f') = 1.41687e-06
norm(dx) = 9.32294e-06
no_feval = 38
no_iter = 34

trace:
xv = {[-0.916319 1.11579] [-0.638053 0.473473] [-0.48664 0.15792] [-0.562213 0.316996] [-0.544444 0.284199] [-0.526701 0.256691] [-0.49546 0.215661] [-0.435025 0.148111] [-0.370499 0.0937449] [-0.259872 0.0366874] [-0.161128 0.0127496] [-0.101892 -0.0132436] [0.0193838 -0.0305153] [0.121386 0.000656837] [0.241795 0.0231941] [0.33398 0.103868] [0.440777 0.163873] [0.460275 0.202783] [0.54811 0.288172] [0.62924 0.379956] [0.696863 0.482099] [0.771227 0.579446] [0.792735 0.623061] [0.857229 0.727208] [0.900213 0.807282] [0.946131 0.890252] [0.974258 0.952002] [1.00464 1.00742] [0.992922 0.986096] [0.997054 0.994036] [0.999452 0.99881] [0.999954 0.999879] [1 1.00001] [1 1]}
Fv = [5.64904 1.5618 1.41629 1.2203 1.20012 1.18688 1.16266 1.11426 1.03385 0.841214 0.682837 0.634992 0.528517 0.395891 0.349639 0.224737 0.202608 0.149765 0.109608 0.0815102 0.0465651 0.0379422 0.0229203 0.0131056 0.00545953 0.0026574 0.000729924 0.000189087 2.7111e-05 4.66978e-06 5.98346e-07 4.12168e-08 2.55577e-11 5.24508e-14]
ngv = [48.6917 6.83035 9.16562 1.45963 2.87505 3.70968 4.45032 5.01409 4.59566 3.08462 1.58691 2.36257 3.0891 1.40777 3.52707 0.767488 3.04116 0.907026 1.22519 1.64112 0.351909 2.13814 0.643864 1.16604 0.458514 0.87564 0.575896 0.384089 0.0473799 0.0132776 0.0183764 0.00561985 0.000112443 1.41687e-06]
dv = [0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.35 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225 0.1225]

    fminunc 
--------------------
x0 = [-1.2 1]
xn = [1 1]