Numeric Solver

hello,

I have a question regarding the numerical solvers available in Matlab I have a total of 24 equations with 23 variables(not all equations include all variables). --> f(x)=[f1(x);f2(x)....f24(x)] ; x being vector =[x1;x2....x23].

The question is : Can I use "fsolve" to solve equations of such form even though not all the equations are non-linear (7 equations being linear). Also the Numeric Solver automatically chooses the levenberg-marquardt algorithm and not the trust-region-dogleg. Is it because of the linear equations ?

The results I get using "fsolve" appear to be as expected for the cases I have tested, but as I can not check for all cases I wanted to know such an approach is reasonable.

Or will it better to use fminunc/fmincon by transforming the functions to the form: f(x)=sqrt(f1(x)^2+ f2(x)^2+......f24(x)^2).

Please reply back as soon as possible. Thank you.

Varun