Make an implicit function in matlab?

I need matlab to create a function for me. I have,

y=e*h*sqrt(4ah+(1-e)*a*h)+(1-e*h)*sqrt((1-e)*2*h) in the interval 0<=e<=1 and 0<=h<=1.

I need a function of max y as a function of h (i.e. e is implicit). How can can matlab create this?

Thanks!

Answer 1

[Torsten]

Use "fminbnd" to search for the minimum of the function

 f=@(x)-(x*h*sqrt(4a*h+(1-x)*a*h)+(1-x*h)*sqrt((1-x)*2*h))

in the interval [0:1]

Best wishes

Torsten.

[David Sjöberg]

Thanks!

However I get the error "Conversion to logical from sym is not possible.". I use the code:

syms h x
f = @(x)-(x*h*sqrt(4*h+(1-x)*2*h)+(1-x*h)*sqrt((1-x)*2*h))
k = fminbnd(f, 0, 1)

Am i using your answer correctly? :)

[Torsten]

f = @(x,h)-(x*h.*sqrt(4*h+(1-x)*2*h)+(1-x*h).*sqrt((1-x)*2*h));

n = 30;
h_array = linspace(0,1,n);

for i = 1:n
  h = h_array(i);
  k(i) = fminbnd(@(x)f(x,h), 0, 1);
end 

plot(h_array,k)

Best wishes

Torsten.

[David Sjöberg]

Thanks again. I get "undefined variable h". But I still get the same error of conversion if I define h as a variable. Sorry for being slow to understand.

[Torsten]

I modified the code from above.

Best wishes

Torsten.