fsolve: Is there a limit to how many equations can be solved?

Hello, I would like to know what is the maximum number of equations that can be input into fsolve.

Thanks, Ben

Answer 1

[Matt J]

Probably very much the same as the number of linear equations that can be solved using mldivide. Fsolve, like other nonlinear equation solvers, works by approximating the system by a sequence of linear equation systems of the same size.

Of course, it also depends on how well you optimize memory usage, e.g., if you use the 'Jacobian' option and supply a sparse Jacobian if applicable, or if you use 'JacobMult' or 'JacobPattern' when using the Trust Region algorithm.

Answer 2

[John D'Errico]

There is no hard limit.

There are soft limits, mostly dependent on your tolerance for how long it will take. My guess is that time will be more of a factor here than memory.