How to solve "Parse error at METHODS: usage might be invalid MATLAB syntax."?

%% Apply Penalty Method( equality constraints)

alpha_range = [(0:0.1:0.5) 1 3 5];

for counter=1:lenght(alpha_range)

alpha=alpha_range(counter);

%capture the current value of alpha in an anonymous function

anonymousFunctiononHandle=...

@x cost_function_augumented_equality_only(x,alpha) ;

%solve unconstrained optimization problem using fminsearch

x0 = zeros(2,1);

[xhatstar,f0]= fminsearch(anonymousFuctionHandle,x0,...

optimset('To1x',1e-10,'MaxfunEvals',10000,'MaxIter',10000));

%plot optimal solution for the current value of alpha

plot3(xhatstar(1),xhatstar(2),0,'m+','Linewidth',2,'Markersize',15)

title(['\alpha',num2star(alpha)])

x(-8,8)

pause(1)

end

and here my fuction

function [f0_hat]= cost_function_augumented_equality_only(x,alpha)

H = [1 1

1 2];

g = [1 2];

r = 45;

f0 = 0.5*x'*H*x + g'*x +r;

f1 = x(1)+x(2)-4;

f0_hat= f0+alpha*f1^2;

end

Answer 1

[Steven Lord]

    anonymousFunctiononHandle=...
        @x cost_function_augumented_equality_only(x,alpha) ;

This isn't valid MATLAB syntax. You're missing the parentheses around the input argument.

    anonymousFunctiononHandle=...
        @(x) cost_function_augumented_equality_only(x,alpha) ;

You also appear to have a couple other issues in your code, including several typos.

       optimset('To1x',1e-10,'MaxfunEvals',10000,'MaxIter',10000));

You've used a 1 instead of a lower-case L in the first option's name.

    %plot optimal solution for the current value of alpha
    plot3(xhatstar(1),xhatstar(2),0,'m+','Linewidth',2,'Markersize',15)
    title(['\alpha',num2star(alpha)])
    x(-8,8)

There's no x variable or function defined in the code segment you posted here.