Two novel numerical methods for the diagonalisation of a reduced biquaternion matrix in the reduced biquaternionic algebra

DOI10.1080/03081087.2022.2158167zbMath1530.65038MaRDI QIDQ6177674

Vasiliy I. Vasil'ev, Dong Zhang, Gang Wang, Tong-Song Jiang

Publication date: 17 January 2024

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

zbMATH Keywords

real representationcomplex representationdiagonalisationreduced biquaternion

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Iterative numerical methods for linear systems (65F10)

Cites Work

• Commutative quaternion matrices
• An introduction to constant curvature spaces in the commutative (Segre) quaternion geometry
• Commutative (Segre's) quaternion fields and relation with Maxwell equations
• Consimilarity of Commutative Quaternion Matrices
• Algebraic techniques for diagonalization of a split quaternion matrix in split quaternionic mechanics
• Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory
• Universal similarity factorization equalities for commutative quaternions and their matrices
• Algebraic techniques for least squares problems in commutative quaternionic theory
• Commutative Reduced Biquaternions and Their Fourier Transform for Signal and Image Processing Applications
• Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices

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