How to find the max value of a function with two variables

x = linspace(-90,.1,90);  %Theta 1
y = linspace(-90,.1,90);  %Theta 2

cx = -2.598.*cos(x)-1.5.*sin(x)-.525.*cos(y)-.3977.*sin(y);
cy = -2.598.*sin(x).*sin(y)+1.5.*cos(x).*sin(y)-.2227.*sin(y)+.525;
cz = -2.598.*sin(x).*cos(y)+1.5.*cos(x).*cos(y)-.3977+.2227.*cos(y);

v = sqrt(cx.^2+cy.^2+cz.^2);   %Equation for finding impact velocity

where v is a function of x and y

I need to find the maximum value of the function v, and the values of x and y that correspond to the max.

Thanks, Connor

Answer 1

[Star Strider]

This seems to work:

idx = find(v == max(v(:)));                         % Index Of Maximum ‘v’

Then to test to see if the corresponding elements produce the maximum value of ‘v’:

vm = sqrt(cx(idx).^2+cy(idx).^2+cz(idx).^2);        % Test With Elements
test = v(idx) == vm

and the result of ‘test’ is 1 or true. The corresponding elements are those with the same positions of ‘idx’.