Question about plotting complex numbers with a given condition

Hi,

I've got no clue how I would plot the complex numbers z in matlab, given the following conditions:

• abs(z*e^(1-z)) = 1
• abs(z)<=1

Please give me hint or something to help me, I'm really stuck!

Grts, Wouter

Answer 1

[Walter Roberson]

For example,

Tolerance = 0.01;
TargetVal = 3;
F = @(z) z.^3 - abs(z);
Condition = @(z) (abs(F(z) - TargetVal) <= Tolerance);

datavals = linspace(-5,5,50);

[X, Y] = ndgrid(datavals);
Z = X + 1i .* Y;
TF = Condition(Z);
surf(datavals, datavals, TF);