Optimization Toolbox

Additional Arguments: Avoiding Global Variables

Parameters that would otherwise have to be declared as global can be passed directly to M-file functions using additional arguments at the end of the calling sequence.

For example, entering a number of variables at the end of the call to fsolve

[x,fval] = fsolve(@objfun,x0,options,P1,P2,...)

passes the arguments directly to the functions objfun when it is called from inside fsolve.

F = objfun(x,P1,P2, ... )

Consider, for example, finding zeros of the function ellipj(u,m). The function needs parameter m as well as input u. To look for a zero near u = 3, for m = 0.5

m = 0.5;
options = optimset('Display','off'); % Turn off Display
x = fsolve(@ellipj,3,options,m)

returns

x = 
    3.7081

Then, solve for the function ellipj.

f = ellipj(x,m)
f =
    -2.9925e-008

The call to optimset to get the default options for fsolve implies that default tolerances are used and that analytic gradients are not provided.

Maximization

Multiobjective Examples