Following the advice at https://uk.mathworks.com/help/matlab/math/output-functions.html, we can use the 'OutputFcn' option. By putting the optimistion problem into a function, as shown below, we can take advantage of the fact that nested functions can access variables defined in the outer scope. That is, although I cannot explicitly pass the xvals array to outfun, it can access it anyway since it is a nested function. function [x, xvals] = myproblem(x0)
xvals=[];
fun = @(x)100*(x(2)-x(1)^2)^2 + (1-x(1))^2;
A = [];
b = [];
Aeq = [];
beq = [];
lb = [];
ub = [];
options = optimoptions('fmincon','Display','iter','OutputFcn',@outfun);
x = fmincon(fun,x0,A,b,Aeq,beq,lb,ub,[],options);
function stop = outfun(x,optimValues,state)
stop=false;
if isequal(state,'iter')
xvals = [xvals;x];
end
end
end
Use this as follows:
[x,xvals] = myproblem([0,0]);
x will have the final result and xvals will contain the history.
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