System of 30 second/third degree Non linear equations

Hello all,

I want to solve a system of 30 non-linear equations. Although my guess is the non linear equations will only have second degree polynomials of the unknowns, they might as well include third degree.

In any case, how should I proceed? How can I do it efficiently with matlab?

Answer 1

[Pratyush Roy]

Hi,

One can use the fsolve command available in the Optimization Toolbox for solving system of non-linear equations.

Here's the link to the documentation page:

https://www.mathworks.com/help/optim/ug/fsolve.html?searchHighlight=fsolve&s_tid=srchtitle

Hope this helps!

[YOGENDRA SINGH BHANDARI]

Hi I have tried using it Pratyush. It is throwing up an error saying something like the step size is less. Can the fsolve be used to solve non linear equations of any degree? And how sensitive is the convergence to the choice of the initial guess?

[Pratyush Roy]

Hi,

This link might be helpful.