How can one make this program work? (fmin question)

In Part 1, I have learned that

x_optimal = fminbnd(@fun,0,2)

function out=fun(x)
 
 if x<=1 out=x; else out=sqrt(x); end
 
 out=-out; %because we're maximizing
 
end

Now I want to parameterize this example. I want to define a parameterized function

function out=fun(x,a)
 
 if x<=1 out=x; else out=a*sqrt(x); end
 
 out=-out; %because we're maximizing
 
end

And want to create an output vector

x=zeros(10,1);

for a=1:1:10
    x(a,1)=fminbnd(@fun,0,2) % minimizes fun(x,a)
end

But this code does not work. How can one make the code work?

Answer 1

[Bruno Luong]

x=zeros(10,1);
for a=1:1:10
    x(a,1)=fminbnd(@(x) fun(x,a), 0, 2) % minimizes fun(x,a)
end

[alpedhuez]

Thank you.

1. How did you arrive at this solution?
2. I thought of using a global variable. Which is better?

global a
x=zeros(2,1);

for n=1:1:2

a=n;

x_optimal(n,1) = fminbnd(@fun,0,2)

end

function out=fun(x)

global a

if x<=1 out=1; else out=a*sqrt(x); end
 
out=-out; %because we're maximizing
 
end

[Bruno Luong]

" How did you arrive at this solution? "

Strictly speaking I did not arrive at this solution, since I did not search for it.

I simply kwow MATLAB and anonymous function by mainly reading the doc and then practice.

Don't use global variable if you don't have to.

[alpedhuez]

Okay.