Biquaternions and their complex matrix representations

DOI10.1007/s13366-012-0113-7zbMath1280.15011OpenAlexW2031266748MaRDI QIDQ375927

Yongge Tian

Publication date: 1 November 2013

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-012-0113-7

zbMATH Keywords

eigenvalueeigenvectordeterminantgeneralized inversenormssingular value decompositionsbiquaternioncomplex matrix representationmatrix of biquaternionsSchur decompositionsuniversal similarity factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear equations (linear algebraic aspects) (15A06)

Related Items (2)

A general method for solving linear matrix equations of elliptic biquaternions with applications ⋮ A general method for solving linear elliptic biquaternion equations

Cites Work

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• Right eigenvalue equation in quaternionic quantum mechanics
• MUSIC Algorithm for Vector-Sensors Array Using Biquaternions
• Quaternions and special relativity
• Quaternions and matrices of quaternions

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