Eigenvalue location of certain matrix polynomials

Pallavi B; Shrinath Hadimani; Sachindranath Jayaraman

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arXiv · 2302.06788

Eigenvalue location of certain matrix polynomials

Pallavi B·Shrinath Hadimani·Sachindranath Jayaraman

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Abstract

It is known that a matrix polynomial with unitary matrix coefficients has its eigenvalues in the annular region $\frac{1}{2} < |\lambda| < 2$. We prove in this short note that under certain assumptions, matrix polynomials with either doubly stochastic matrix coefficients or Schur stable matrix coefficients also have eigenvalues in similar annular regions.

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BibTeX RIS

Pallavi B, Shrinath Hadimani, Sachindranath Jayaraman. 2023-02-14. Eigenvalue location of certain matrix polynomials. https://arxiv.org/abs/2302.06788

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