How to numerically calculate the complex roots (eigenvalues) of a determinant?
1 vue (au cours des 30 derniers jours)
Please consider the following determinant:
"aij" and "bij" take on values lager than zero and smaller than one, and "q" has a range between pi and -pi. I want to calculate the complex eigenvalues (lambda) of the determinant using some sort of a numerical scheme.
I'm well aware that Computer Algebra Systems like MATLAB have no problem calculating the roots of a determinant of this size, but I am working with matrices that are ridiculously larger than this one and without an efficient numerical solution, they would take forever to get solved.
I would immensely appreciate any help or insight.
Thank you very much