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2 unknown variable constraint optimization with single unknown variable objective function

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Soumili Sen
Soumili Sen 2020-12-23
评论： Soumili Sen 2020-12-23
hello, I am writting a code where objective function is depend on single unknown variable but constraint function is depend on 2 unknown veriables. The code look like
fun=@(a) C1.*a.^2 +C2.*a+C3;
x0=[1,1];
lb = [];
ub = [];
Aeq = [];
beq =[];
A = [];
b = [];
nonlcon =@constraintfcn;
opts = optimoptions('fmincon','Display','iter','Algorithm','sqp');
[x_value,fval] = fmincon( fun,x0,A,b,Aeq,beq,lb,ub,nonlcon,opts);
Also the constraint function can be written as
function [c,ceq] = constraintfcn(z)
a=z(1);b=z(2);
c = a^2 + b^2 - 1;
ceq = [];
end
But it gives the error lke"Nonlinear constraint function is undefined at initial point. Fmincon cannot continue." How I can resolve this problem?

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采纳的回答

Matt J
Matt J 2020-12-23
fun=@(z) C1.*z(1).^2 +C2.*z(1)+C3;

更多回答（1 个）

Matt J
Matt J 2020-12-23
编辑：Matt J 2020-12-23
The problem, as you've posted it, has an analytical solution, which can be obtained using
https://www.mathworks.com/matlabcentral/fileexchange/53191-quadratic-minimization-with-norm-constraint
z=trustregprob(diag([2*C1,0]) , [-C2;0], 1)

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