# Is this code good enough for illustrate gradient descent

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This is my code for 15 iterative steps

clf

X = -3:0.1:3;

[X,Y] = meshgrid(X);

Z = 4*X.^2-4*X.*Y+2*Y.^2;

surf(X,Y,Z,'FaceColor','c','FaceAlpha',0.3,'EdgeColor','none');

hold on

x(1) = 2; % initial value of x

y(1) = 3; % initial value of y

z(1) = 4*(x(1)).^2-4*(x(1)).*(y(1))+2*(y(1)).^2;

stepsize = 0.1;

for i = 1:15

zx = 8*x(i)-4*y(i);

zy =-4*x(i)+4*y(i);

x(i+1) = x(i) - stepsize*zx; %gradient descent

y(i+1) = y(i) - stepsize*zy;

z(i+1) = 4*(x(i+1)).^2-4*(x(i+1)).*(y(i+1))+2*(y(i+1)).^2;

end

plot3(x,y,z,'o','Markersize',3,'Color','red')

hold off

axis([min(x),max(x), min(y),max(y), min(z), max(z)]);

rotate3d on;

xlabel x; ylabel y; zlabel z;

I get this figure

I dont know if this illustration good enough

##### 2 Comments

Adam Danz
on 6 Aug 2022

Edited: Adam Danz
on 7 Aug 2022

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