Eigenvalues of sums of pseudo-Hermitian matrices

TL;DR

This paper investigates eigenvalue inequalities for sums of pseudo-Hermitian matrices, extending classical results to a broader class of matrices with indefinite inner products.

Contribution

It introduces analogues of classical eigenvalue inequalities specifically for pseudo-Hermitian matrices, a less-explored matrix class.

Findings

Established eigenvalue bounds for sums of pseudo-Hermitian matrices

Extended classical inequalities to indefinite inner product spaces

Provided theoretical framework for future research in pseudo-Hermitian spectral theory

Abstract

We study analogues of classical inequalities for the eigenvalues of sums of pseudo-Hermitian matrices.