how do you find the roots with zero real part of a 1x3001 complex matrix in matlab

To find the roots with zero real part of a 1x3001 complex matrix in MATLAB, you can use the roots function. The roots function calculates the roots of a polynomial. Since you have a 1x3001 matrix, this implies a polynomial of degree 3000.

Here's how you can use the roots function in MATLAB to find the roots with zero real part of a complex polynomial:

main.m
coefficients = your_complex_matrix;
roots_of_polynomial = roots(coefficients);
real_part_of_roots = real(roots_of_polynomial);
real_roots = roots_of_polynomial(real_part_of_roots == 0);
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In the code snippet above, replace your_complex_matrix with your actual 1x3001 complex matrix. The roots function will return all the roots of the polynomial. Then, we extract the real part of the roots and select the roots with a real part of zero.

This will give you the roots with zero real part of the complex polynomial defined by your 1x3001 matrix.