Pairs of Hermitian and skew-Hermitian quaternionic matrices: canonical forms and their applications

DOI10.1016/j.laa.2006.12.017zbMath1149.15013OpenAlexW2055704671MaRDI QIDQ935372

Leiba Rodman

Publication date: 6 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.12.017

zbMATH Keywords

Hermitian matricescanonical formsmatrix pencilsquaternionic matricesstrict equivalenceskew-Hermitian matricessimultaneous congruenceskew-selfadjoint matricesskew-sesquilinear form

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57) Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (5)

Bounds for eigenvalues of matrix polynomials over quaternion division algebra ⋮ Remarks on Lipschitz properties of matrix groups actions ⋮ Determinant and inverse of a Gaussian Fibonacci skew-Hermitian Toeplitz matrix ⋮ Location of right eigenvalues of quaternionic matrix polynomials ⋮ Localization theorems for matrices and bounds for the zeros of polynomials over quaternion division algebra

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