Canonical forms for mixed symmetric-skewsymmetric quaternion matrix pencils

DOI10.1016/j.laa.2006.10.016zbMath1118.15012OpenAlexW2094581960MaRDI QIDQ884420

Leiba Rodman

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.10.016

zbMATH Keywords

canonical formsquaternionic matricesquaternionic algebrainvolutory antiautomorphismsquaternionic linear transformationssymmetric and skewsymmetric matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items (11)

Bounds for eigenvalues of matrix polynomials over quaternion division algebra ⋮ Classification of linear mappings between indefinite inner product spaces ⋮ Perturbation theory of structured matrix pencils with no spillover ⋮ Remarks on Lipschitz properties of matrix groups actions ⋮ Perturbation analysis of matrices over a quaternion division algebra ⋮ Pairs of Hermitian and skew-Hermitian quaternionic matrices: canonical forms and their applications ⋮ Canonical matrices of isometric operators on indefinite inner product spaces ⋮ Canonical matrices of bilinear and sesquilinear forms ⋮ Location of right eigenvalues of quaternionic matrix polynomials ⋮ GENERAL Φ-HERMITIAN SOLUTION TO A SYSTEM OF QUATERNION MATRIX EQUATIONS ⋮ A QUATERNION MATRIX EQUATION INVOLVING Φ-HERMICITY

Cites Work

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• Some Theorems On Matrices With Real Quaternion Elements
• Quaternions and matrices of quaternions
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