Matlabで制約つき非線形最適化問題を解く

@nonlconの「＠」がキモ

clear; close all;

f = @(x) x(1)^2+x(2)^2;
A = [];
b = [];
Aeq = [];
beq = [];
x0 = [0,0];
lb = [];
ub = [];
fmincon(f, x0, A, b, Aeq, beq, lb, ub, @nonlcon)

function [c,ceq] = nonlcon(x)
x1 = x(1);
x2 = x(2);
c = [x1^2/20-x2+1,-x1+x2^2/20+1];
ceq = [];
end

実行結果

Local minimum found that satisfies the constraints.

Optimization completed because the objective function is non-decreasing in 
feasible directions, to within the value of the optimality tolerance,
and constraints are satisfied to within the value of the constraint tolerance.

<stopping criteria details>
ans =
    1.0557    1.0557
>>

あっている