how do you find the roots with zero real part of a 1x3001 complex matrix in matlab without using roots function in matlab

To find the roots with zero real part of a 1x3001 complex matrix in MATLAB without using the roots function, you can make use of the eigenvectors and eigenvalues of the matrix.

Here's a sample code to achieve this:

main.m
% Create a random 1x3001 complex matrix
A = rand(1, 3001) + 1i*rand(1, 3001);

% Compute the eigenvectors and eigenvalues of the matrix
[V, D] = eig(A);

% Find the roots with zero real part (eigenvalues with zero real part)
zero_real_part_roots = diag(D(abs(real(diag(D))) < 1e-10);

disp(zero_real_part_roots);
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In this code, A = rand(1, 3001) + 1i*rand(1, 3001); creates a random 1x3001 complex matrix. We then find the eigenvectors and eigenvalues of this matrix using the eig function. Finally, we extract the eigenvalues with a zero real part (within a small tolerance) to find the roots with zero real part.

This way, we can find the roots with zero real part of a 1x3001 complex matrix in MATLAB without using the roots function.

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