multi2_newton_system

multi2_newton_system:
  Use Newton's method for a root of the multi2 function.
it = 0, x = (                    2                    2 )
it = 0, ||f(x)|| =             5.000631
it = 1, x = (   -18.15888308335968   -10.57944154167984 )
it = 1, ||f(x)|| =           572.197274
it = 2, x = (   -8.371007867039193   -5.228726650598118 )
it = 2, ||f(x)|| =           142.289878
it = 3, x = (   -3.552491738279779   -2.719070688568558 )
it = 3, ||f(x)|| =            35.078319
it = 4, x = (   -1.201458257409006   -1.472826660956437 )
it = 4, ||f(x)|| =             8.600258
it = 5, x = ( -0.0004128708317214791  0.09490440394495581 )
it = 5, ||f(x)|| =            23.408007
it = 6, x = (  0.04510122448991098   -1865.231218700969 )
it = 6, ||f(x)|| =       3479096.751689
it = 7, x = (  0.02207377352766466   -932.6127126099448 )
it = 7, ||f(x)|| =        869777.890008
it = 8, x = (  0.01001860511791814   -466.2993499297595 )
it = 8, ||f(x)|| =        217448.883733
it = 9, x = ( 0.002896363147595693   -233.1325832162889 )
it = 9, ||f(x)|| =         54368.331384
it = 10, x = ( -0.002902632462031537   -116.5158003936666 )
it = 10, ||f(x)|| =         13593.461072
it = 11, x = ( -0.01048575159890036   -58.21627749078088 )
it = 11, ||f(x)|| =          3402.818693
it = 12, x = ( -0.02455831054021834   -29.02507282383937 )
it = 12, ||f(x)|| =           853.599625
it = 13, x = ( -0.05676725616265298   -14.38777713770794 )
it = 13, ||f(x)|| =           215.671805
it = 14, x = (  -0.1538195341501966   -7.067696420925729 )
it = 14, ||f(x)|| =            55.726850
it = 15, x = (  -0.9614467162182929   -4.182863290572487 )
it = 15, ||f(x)|| =            18.927941
it = 16, x = (   0.3440354053530073   -1.631530661431167 )
it = 16, ||f(x)|| =             5.519438
it = 17, x = (  -0.1769158939870817    1.611605659897073 )
it = 17, ||f(x)|| =             8.277132
it = 18, x = (  0.04209404365293906   -1.945473808803259 )
it = 18, ||f(x)|| =            13.275187
it = 19, x = (    0.389790588874875   -4.999063352915107 )
it = 19, ||f(x)|| =            27.458239
it = 20, x = (   0.2663402510043654   -2.148443426053708 )
it = 20, ||f(x)|| =             8.327195
it = 21, x = (   0.1364978879533252   0.1580566853880407 )
it = 21, ||f(x)|| =             5.872283
it = 22, x = (    0.333604175260023   -4.060818350686225 )
it = 22, ||f(x)|| =            19.471284
it = 23, x = (   0.1966551898826394   -1.497476534064339 )
it = 23, ||f(x)|| =             6.935584
it = 24, x = (   0.1565392843415919    1.032372827548255 )
it = 24, ||f(x)|| =             6.473446
it = 25, x = (   0.2423977146369773   -1.263941639014729 )
it = 25, ||f(x)|| =             5.610680
it = 26, x = (  0.02288187799494112    2.115565157229771 )
it = 26, ||f(x)|| =            15.807205
it = 27, x = (   0.1422328292009732    2.111373745177752 )
it = 27, ||f(x)|| =            10.166577
it = 28, x = (   0.1932066879027307 -0.02951025112648686 )
it = 28, ||f(x)|| =             4.741027
it = 29, x = (   0.5018120201971498   -6.142628850097906 )
it = 29, ||f(x)|| =            39.353515
it = 30, x = (   0.3644593215918643   -2.865761545376839 )
it = 30, ||f(x)|| =            10.887085
it = 31, x = (   -1.915183183679622    2.703504565882582 )
it = 31, ||f(x)|| =            24.208363
it = 32, x = (  -0.5972950346723669    1.220027987093953 )
it = 32, ||f(x)|| =             6.531530
it = 33, x = (   -0.124109332567252   -1.048466272662028 )
it = 33, ||f(x)|| =             7.636225
it = 34, x = (   0.5143209640014862    9.575158782651602 )
it = 34, ||f(x)|| =            93.354977
it = 35, x = (    0.241504630351979    4.612932772810542 )
it = 35, ||f(x)|| =            25.328920
it = 36, x = (   0.1812000363389979    1.782882895335607 )
it = 36, ||f(x)|| =             8.123576
it = 37, x = (   0.2170746793905017   -0.318238521103773 )
it = 37, ||f(x)|| =             4.467423
it = 38, x = (    1.381792571463337   -20.42034052710863 )
it = 38, ||f(x)|| =           415.460669
it = 39, x = (   0.8072133594172617   -10.22314490987065 )
it = 39, ||f(x)|| =           104.551438
it = 40, x = (   0.5294064942799976   -5.055544608261074 )
it = 40, ||f(x)|| =            26.984003
it = 41, x = (    0.458220579020626   -2.344491708307145 )
it = 41, ||f(x)|| =             7.382430
it = 42, x = (   -5.628741824822213    9.026488286008263 )
it = 42, ||f(x)|| =           165.078940
it = 43, x = (   -2.392814808844401    4.572301581324044 )
it = 43, ||f(x)|| =            40.960415
it = 44, x = (  -0.8340241971031552    2.267456467272637 )
it = 44, ||f(x)|| =            10.674836
it = 45, x = (  -0.1794593970350757   0.4549016802075179 )
it = 45, ||f(x)|| =             5.904642
it = 46, x = ( -0.07694434476950762    -7.40507139098224 )
it = 46, ||f(x)|| =            62.611504
it = 47, x = (  -0.5789992303716838   -4.465641809546312 )
it = 47, ||f(x)|| =            22.248587
it = 48, x = (   0.7455875196163677   -1.364308817571893 )
it = 48, ||f(x)|| =             2.084399
it = 49, x = (    2.336524101815757   -3.561701735004283 )
it = 49, ||f(x)|| =            11.581474
it = 50, x = (    1.643604845853959   -2.244101121536959 )
it = 50, ||f(x)|| =             2.669386

  Number of steps = 50
  x = (1.6436, -2.2441)
  f(x) = (-1.90171, 1.87327)
diary off
multi2_newton_system2

multi2_newton_system2:
  Use Newton's method for a root of the multi2 function.
it = 0, x = (                    2                    2 )
it = 0, ||f(x)|| =             5.000631
it = 1, x = (   -18.15888308335968   -10.57944154167984 )
it = 1, ||f(x)|| =           572.197274
it = 2, x = (   -8.371007867039193   -5.228726650598118 )
it = 2, ||f(x)|| =           142.289878
it = 3, x = (   -3.552491738279779   -2.719070688568558 )
it = 3, ||f(x)|| =            35.078319
it = 4, x = (   -1.201458257409006   -1.472826660956437 )
it = 4, ||f(x)|| =             8.600258
it = 5, x = ( -0.0004128708317214791  0.09490440394495581 )
it = 5, ||f(x)|| =            23.408007
it = 6, x = (  0.04510122448991098   -1865.231218700969 )
it = 6, ||f(x)|| =       3479096.751689
it = 7, x = (  0.02207377352766466   -932.6127126099448 )
it = 7, ||f(x)|| =        869777.890008
it = 8, x = (  0.01001860511791814   -466.2993499297595 )
it = 8, ||f(x)|| =        217448.883733
it = 9, x = ( 0.002896363147595693   -233.1325832162889 )
it = 9, ||f(x)|| =         54368.331384
it = 10, x = ( -0.002902632462031537   -116.5158003936666 )
it = 10, ||f(x)|| =         13593.461072
it = 11, x = ( -0.01048575159890036   -58.21627749078088 )
it = 11, ||f(x)|| =          3402.818693
it = 12, x = ( -0.02455831054021834   -29.02507282383937 )
it = 12, ||f(x)|| =           853.599625
it = 13, x = ( -0.05676725616265298   -14.38777713770794 )
it = 13, ||f(x)|| =           215.671805
it = 14, x = (  -0.1538195341501966   -7.067696420925729 )
it = 14, ||f(x)|| =            55.726850
it = 15, x = (  -0.9614467162182929   -4.182863290572487 )
it = 15, ||f(x)|| =            18.927941
it = 16, x = (   0.3440354053530073   -1.631530661431167 )
it = 16, ||f(x)|| =             5.519438
it = 17, x = (  -0.1769158939870817    1.611605659897073 )
it = 17, ||f(x)|| =             8.277132
it = 18, x = (  0.04209404365293906   -1.945473808803259 )
it = 18, ||f(x)|| =            13.275187
it = 19, x = (    0.389790588874875   -4.999063352915107 )
it = 19, ||f(x)|| =            27.458239
it = 20, x = (   0.2663402510043654   -2.148443426053708 )
it = 20, ||f(x)|| =             8.327195
it = 21, x = (   0.1364978879533252   0.1580566853880407 )
it = 21, ||f(x)|| =             5.872283
it = 22, x = (    0.333604175260023   -4.060818350686225 )
it = 22, ||f(x)|| =            19.471284
it = 23, x = (   0.1966551898826394   -1.497476534064339 )
it = 23, ||f(x)|| =             6.935584
it = 24, x = (   0.1565392843415919    1.032372827548255 )
it = 24, ||f(x)|| =             6.473446
it = 25, x = (   0.2423977146369773   -1.263941639014729 )
it = 25, ||f(x)|| =             5.610680
it = 26, x = (  0.02288187799494112    2.115565157229771 )
it = 26, ||f(x)|| =            15.807205
it = 27, x = (   0.1422328292009732    2.111373745177752 )
it = 27, ||f(x)|| =            10.166577
it = 28, x = (   0.1932066879027307 -0.02951025112648686 )
it = 28, ||f(x)|| =             4.741027
it = 29, x = (   0.5018120201971498   -6.142628850097906 )
it = 29, ||f(x)|| =            39.353515
it = 30, x = (   0.3644593215918643   -2.865761545376839 )
it = 30, ||f(x)|| =            10.887085
it = 31, x = (   -1.915183183679622    2.703504565882582 )
it = 31, ||f(x)|| =            24.208363
it = 32, x = (  -0.5972950346723669    1.220027987093953 )
it = 32, ||f(x)|| =             6.531530
it = 33, x = (   -0.124109332567252   -1.048466272662028 )
it = 33, ||f(x)|| =             7.636225
it = 34, x = (   0.5143209640014862    9.575158782651602 )
it = 34, ||f(x)|| =            93.354977
it = 35, x = (    0.241504630351979    4.612932772810542 )
it = 35, ||f(x)|| =            25.328920
it = 36, x = (   0.1812000363389979    1.782882895335607 )
it = 36, ||f(x)|| =             8.123576
it = 37, x = (   0.2170746793905017   -0.318238521103773 )
it = 37, ||f(x)|| =             4.467423
it = 38, x = (    1.381792571463337   -20.42034052710863 )
it = 38, ||f(x)|| =           415.460669
it = 39, x = (   0.8072133594172617   -10.22314490987065 )
it = 39, ||f(x)|| =           104.551438
it = 40, x = (   0.5294064942799976   -5.055544608261074 )
it = 40, ||f(x)|| =            26.984003
it = 41, x = (    0.458220579020626   -2.344491708307145 )
it = 41, ||f(x)|| =             7.382430
it = 42, x = (   -5.628741824822213    9.026488286008263 )
it = 42, ||f(x)|| =           165.078940
it = 43, x = (   -2.392814808844401    4.572301581324044 )
it = 43, ||f(x)|| =            40.960415
it = 44, x = (  -0.8340241971031552    2.267456467272637 )
it = 44, ||f(x)|| =            10.674836
it = 45, x = (  -0.1794593970350757   0.4549016802075179 )
it = 45, ||f(x)|| =             5.904642
it = 46, x = ( -0.07694434476950762    -7.40507139098224 )
it = 46, ||f(x)|| =            62.611504
it = 47, x = (  -0.5789992303716838   -4.465641809546312 )
it = 47, ||f(x)|| =            22.248587
it = 48, x = (   0.7455875196163677   -1.364308817571893 )
it = 48, ||f(x)|| =             2.084399
it = 49, x = (    2.336524101815757   -3.561701735004283 )
it = 49, ||f(x)|| =            11.581474
it = 50, x = (    1.643604845853959   -2.244101121536959 )
it = 50, ||f(x)|| =             2.669386

  Number of steps = 50
  x = (1.6436, -2.2441)
  f(x) = (-1.90171, 1.87327)
diary off