Plotting inequalities on the complex plane

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Dimitrios Anagnostou
回答： Torsten 2024-1-7
Despite using Matlab for several years, I am little ashamed but I have no idea how to plot the set on the complex plane that satisfies where . Is there any way to visualize such inequalities graphically on the complex plane, using Matlab? Should I use fimplicit or fcontour? Something other? Thanks in advance.

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采纳的回答

Torsten
Torsten 2024-1-7
Ran in:
It's only left to decide whether it's inside or outside ...
z = @(x,y)x+1i*y;
f = @(x,y)abs(1+z(x,y)+z(x,y).^2) - 4;
fimplicit(f)

更多回答（1 个）

Sulaymon Eshkabilov
Ran in:
Is that what you are trying to attain:
% Grid size:
N = 100;
% Defined grid in X and Y planes:
[X, Y] = meshgrid(linspace(-4, 4, N), linspace(-4, 4, N));
% Create a grid of complex numbers:
Z = X + 1i * Y;
% Compute the Inequality by the given condition:
C = abs(1 + 2 * Z + Z.^2) < 4;
% Plot the set that satisfies the given Inequality Condition C:
scatter(real(Z(C)), imag(Z(C)), 'b.')
xlabel('Re part')
ylabel('Imag part')
title('Complex Plane Set at |1 + 2z + z^2| < 4')
grid on

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