How do I restrict the solution of ONLY ONE variable, of many other variables, to be between 0 and 1?

Hi I have a system of 15 equations and 15 variables and am solving the system using FSOLVE. I'd like to restrict the solution of one (if possible two for future use) of the variables to be between 0 and 1. Your help is greatly appreciated!

Answer 1

[John D'Errico]

Fsolve cannot apply constraints.

However, it is trivial to transform your problem so that it is constrained. Just transform that variable inside your objective, taking (sin(x)).^2 as fsolve passes it in. That number will always be in the interval [0,1], no matter what fsolve thinks it is.

Then when fzolve returns a result, apply the same transformation to that variable. It MAY have the effect of making your optimization more nonlinear (or less!) but it is a simple way to implement a constraint of that form.

And of course, you need to do the reverse transform to the starting value for that parameter, thus asin(sqrt(x0)).