Rayleigh quotient and left eigenvalues of quaternionic matrices
Rings and Algebras
2020-12-08 v1
Abstract
We study the Rayleigh quotient of a Hermitian matrix with quaternionic coefficients and prove its main properties. As an application, we give some relationships between left and right eigenvalues of Hermitian and symplectic matrices.
Cite
@article{arxiv.2012.03621,
title = {Rayleigh quotient and left eigenvalues of quaternionic matrices},
author = {E. Macías-Virgós and M. J. Pereira-Sáez and Ana D. Tarrío-Tobar},
journal= {arXiv preprint arXiv:2012.03621},
year = {2020}
}
Comments
14 pages