Simplest way to calculate the maximum

hello

I have a polynomial curve (with equation), using the optimisation Toolbox what is the easiest way to identify the maximum y point with its corresponding X value?

Many thanks. Gavin.

Answer 1

[Alan Weiss]

It depends on whether you have a univariate polynomial (just one variable) or multidimensional polynomial.

For univariate, you might as well use fminbnd. You will simply have to figure out some bounds to use. A little experimentation should help.

For multidimensional, try fminunc. You will have to try a variety of initial points in order to find the global maximum.

And for either case, you will have to pass in the negative of the objective function, because these solvers minimize instead of maximize. For more info, see maximizing functions or maximizing an objective.

Alan Weiss

MATLAB mathematical toolbox documentation