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//Mismatch in dimensions of starting point x0 and that of non-linear constraints
function y=f(x)
y=x(1)*x(2)+x(2)*x(3);
endfunction
x0=[1,1,1];
A=[];
b=[];
Aeq=[];
beq=[];
lb=[0 0.2,-%inf];
ub=[0.6 %inf,1];
//Error
//fmincon: Non-Linear Constraint function(9th Parameter) and x0(2nd Parameter) did not match
//at line 487 of function fmincon called by :
//fmincon(f,x0,A,b,Aeq,beq,lb,ub,nlc,options)
//at line 44 of exec file called by :
//exec fmincon_nlc1.sce
function [c,ceq]=nlc(x)
//x(4) is out of dimension here when compared to x0
c=[x(1)^2-1,x(4)^2+x(2)^2-1,x(4)^2-1];
ceq=[x(1)^3-0.5,x(2)^2+x(3)^2-0.75];
endfunction
function y= fGrad(x)
y= [x(2),x(1)+x(3),x(2)];
endfunction
function y= lHess(x,obj,lambda)
y= obj*[0,1,0;1,0,1;0,1,0] + lambda(1)*[2,0,0;0,0,0;0,0,0] + lambda(2)*[2,0,0;0,2,0;0,0,0] +lambda(3)*[0,0,0;0,0,0;0,0,2] + lambda(4)*[6*x(1 ),0,0;0,0,0;0,0,0] + lambda(5)*[0,0,0;0,2,0;0,0,2];
endfunction
function [cg,ceqg] = cGrad(x)
cg = [2*x(1),0,0;2*x(1),2*x(2),0;0,0,2*x(3)];
ceqg = [3*x(1)^2,0,0;0,2*x(2),2*x(3)];
endfunction
options=list("MaxIter", [1500], "CpuTime", [500], "GradObj", fGrad, "Hessian", lHess,"GradCon", cGrad);
[x,fval,exitflag,output,lambda,grad,hessian] =fmincon(f,x0,A,b,Aeq,beq,lb,ub,nlc,options)
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