On complex eigenvalues of a real nonsymmetric matrix
Numerical Analysis
2025-03-25 v1 Numerical Analysis
Abstract
We consider real non-symmetric matrices and their factorisation as a product of real symmetric matrices. The number of complex eigenvalues of the original matrix reveals restrictions on such factorisations as we shall prove.
Keywords
Cite
@article{arxiv.2503.18501,
title = {On complex eigenvalues of a real nonsymmetric matrix},
author = {Andy Wathen},
journal= {arXiv preprint arXiv:2503.18501},
year = {2025}
}
Comments
submitted to the Electronic Journal of Linear Algebra