Method of solving system of nonlinear equations

Hello. I would like to ask which numerical method does MathLab use for solving systems of nonlinear equations (optimization toolbox, fsolve) Thanks. Elena

Answer 1

[dpb]

What TMW publishes on algorithms is in the doc's for the given function, generally towards the end in an "Algorithms" section. There are occasional other references given to literature and Cleve has written some on various techniques over the years in his "Cleve's Corner" series available on the TMW site. In general, however, TMW doesn't comment in terrible detail on such things.

Answer 2

[Alan Weiss]

The algorithms are explained to some extent here. If you need more detail, feel free to look at the code, or check the references.

The basic idea is to solve an equation by minimizing the sum of squares of the componenets of the function.

Alan Weiss

MATLAB mathematical toolbox documentation