Zeros to function of 2 variables, Matlab.

[malawi_glenn]

Hi!

I was wondering how you can find zeroes to a function of two variables. I use Matlab.

This is the function:

Z = 2*A.*(A+B).*(2*A+B)./(B.*B).*(0.25*A.^(-3)+4*(2*A+B).^(-3)+0.25*(A+B).^(-3))-14.44;

I know that A and B are positive. But I only know of inbuilt functions and algoritms for finding zeros for functions of ONE variable..

Do you guys know any?

 

[Dr Transport]

Normally, you need two equations to minimize for two variables for a global solution.

 

[tacman]

Hi there,

In Matlab, you can use the 'fsolve' function to find zeros of a function of two variables. This function uses a numerical method called the Newton-Raphson method to iteratively find the root of a function. Here's an example of how you can use 'fsolve' to find the zeros of your function:

% Define the function
fun = @(x) 2*x(1).*(x(1)+x(2)).*(2*x(1)+x(2))./(x(2).^2).*(0.25*x(1).^(-3)+4*(2*x(1)+x(2)).^(-3)+0.25*(x(1)+x(2)).^(-3))-14.44;

% Set initial guess
x0 = [1,1];

% Use fsolve to find zero
[x,fval] = fsolve(fun,x0);

% Display the results
disp(['The zeros of the function are A = ' num2str(x(1)) ' and B = ' num2str(x(2))]);
disp(['The value of the function at these zeros is ' num2str(fval)]);

Hope this helps!