Rayleigh quotient and left eigenvalues of quaternionic matrices

2020/12/07 by E. Macías-Virgós, Macías-Virgós, E., M. J. Pereira‐Sáez +3
Computer Science · Mathematics · #15A18 (Primary) #20G20 (Secondary) #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2012.03621

openalex publication_date 2020/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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