Incorrect 3d graph of Complex Function (with Singular Matrix Error)

Hi,

I need to plot complex functions with x and y representing real and imaginary parts of the number, the z axis representing the value of my function.

I am using surfc for this but end up getting an obscure graph, along with the warning: matrix is close to singular or badly scaled.

The method I am using works perfectly for something simple like just plotting abs(z) but not for (e^z)/(z-2).

How can I resolve this?

My code is attached below. (I am using matlab online)

Any help would be greatly appreciated. Thanks in advance!

a = -500:10:500;
b = -500:10:500;
[A,B] = meshgrid(a,b);
z = A + 1i*B;
f = (exp(z))/(z-2)
surfc(a,b,abs(f))

Answer 1

[Star Strider]

Use element-wise division —

f = (exp(z))./(z-2);

a = -500:10:500;
b = -500:10:500;
[A,B] = meshgrid(a,b);
z = A + 1i*B;
f = (exp(z))./(z-2);
surfc(a,b,abs(f))
shading('interp')

.

[Aditya B]

I have been stuck here for 2 days. Feel stupid to realise that this was what I was missing.

Thank you so much!

[Star Strider]

As always, my pleasure!

Definitely not stupid! If it makes you feel any better, not using element-wise division is the most frequent problem I see here on Answers.

.