2 unknown variable constraint optimization with single unknown variable objective function
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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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The problem, as you've posted it, has an analytical solution, which can be obtained using
z=trustregprob(diag([2*C1,0]) , [-C2;0], 1)
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