How do I minimize a function graphically?

2021 11 10
1 个回答
更新时间：2021 11 10
8 次查看（30 天）

0 个投票

I am trying to minimize f (x1, x2) = (x1 − 1)^2 + (x2 − 5)^2
subject to
−x1^2 + x2 ≤ 4
−(x1 − 2)^2 + x2 ≤ 3
My MATLAB code is below:
clc
clear all
%
x = -0:10;
g1 = -x(1)^2+x(2)-4;
g2 = -(x(1)-2)^2+x(2)-3;
optim = (x(1)-1)^2+(x(2)-5)^2;
%
xlim([0 10])
ylim([0 10])
%
plot(x,g1,x,g2,x,optim,'--')
grid on
grid minor
xlabel('x')
ylabel('y')

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回答（1 个）

Sulaymon Eshkabilov
Sulaymon Eshkabilov 2021-11-10

0 个投票

In your code, your variables are x1 and x2 and NOT x. Moreover, g1 and g2 are incorrectly defined.
In this exercise, you should use fmincon() fcn of Optimization toolbox. See this doc: https://www.mathworks.com/help/optim/ug/minimization-with-bound-constraints-and-banded-preconditioner.html

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