Minimize banana function with steepest descent algorithm
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I write this code to minimize banana function but its not working.can any body help me please?
clear;clc;
banana=@ (x,y) (100*(y-x^2)^2+(1-x)^2); x0=100; y0=50;
dx=0.001; dy=0.001;
error=0.0001;
g=[inf;inf];
number_of_iteration=0; grad_x=@(x,y) (300*x^2-400*x*y+2*x-2); grad_y=@(x,y) (200*(y-x^2)); banana0=banana(x0,y0); grad_x0=grad_x(x0,y0); grad_y0=grad_y(x0,y0);
while norm(g)>error
gx=grad_x(x0,y0);
gy=grad_y(x0,y0);
alpha_x=gx*dx;
alpha_y=gy*dy;
g=[gx;gy];
x0=x0-alpha_x;
y0=y0-alpha_y;
number_of_iteration=number_of_iteration+1;
end fprintf('number of iterations until convergence is =%3i\n',(number_of_iteration));
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