A topological approach to left eigenvalues of quaternionic matrices

DOI10.1080/03081087.2012.753599zbMath1290.15010arXiv1210.3009OpenAlexW2008899227MaRDI QIDQ5409949

Enrique Macias-Virgós, María José Pereira-Sáez

Publication date: 15 April 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3009

zbMATH Keywords

topological degreequaternionic matricescharacteristic mapleft eigenvaluesStudy's determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (6)

Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations ⋮ Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field ⋮ Rayleigh quotient and left eigenvalues of quaternionic matrices ⋮ Morse Theory and the Lusternik–Schnirelmann Category of Quaternionic Grassmannians ⋮ Cayley-Hamilton theorem for left eigenvalues of \(3\times 3\) quaternionic matrices ⋮ Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation

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