866338af-43c0-4588-ad9d-1d9f65bd387b 26 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

x y z f1 x sin y 2^+ z ln + 7 - : x y z f2 3 x * 2 y^+ 1 + z 3^- : x y z f3 x y + z + 5 - : 31 sys

Jacobian all modules numeric

As exemplified, this system works well.

That it will solve any/all user systems ?

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x y z J x y z f1 x diff x y z f1 y diff x y z f1 z diff x y z f2 x diff x y z f2 y diff x y z f2 z diff x y z f3 x diff x y z f3 y diff x y z f3 z diff 33 mat :

x y z J x cos 2 y * 1 z / 32 y^2 ln * 3 z 2^* - 11133 mat

x f x 1 el x 2 el x 3 el f1 x 1 el x 2 el x 3 el f2 x 1 el x 2 el x 3 el f3 31 mat :

in this order ... ! x Minimize x x F (1 -^x f * - : x F x 1 el x 2 el x 3 el J eval : 21 sys

x x 1 el 11113 mat transpose : iter 7 : 12 mat j 1 : j iter ≤ x j 1 + el x j el Minimize eval : j j 1 + : 21 line while x x iter el : 41 line :

t0 1 time :

exp'l threshold 15 x f 0071015 -^* 31 mat

x 0.599053756640566 2.39593140237782 2.00501484098162 31 mat

1 time t0 - 0.6 s *