Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics

DOI10.1016/j.cpc.2018.03.021zbMath1498.15040OpenAlexW2794893491MaRDI QIDQ2102480

Zhaozhong Zhang, Zi-Wu Jiang, Tong-Song Jiang

Publication date: 28 November 2022

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2018.03.021

zbMATH Keywords

eigenvalueseigenvectorscomplex representationssplit quaternionssplit quaternionic mechanicssplit quaternion matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (11)

On singular value decomposition for split quaternion matrices and applications in split quaternionic mechanics ⋮ Algebraic algorithms for eigen-problems of a reduced biquaternion matrix and applications ⋮ An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics ⋮ Algebraic techniques for eigenvalues and eigenvectors of a nectarine matrix in nectarine algebra ⋮ A fast algorithm for the Schrödinger equation in quaternionic quantum mechanics ⋮ Cramer’s rule over quaternions and split quaternions: A unified algebraic approach in quaternionic and split quaternionic mechanics ⋮ Inequalities for generalized eigenvalues of quaternion matrices ⋮ A complex structure-preserving algorithm for split quaternion matrix \textit{LDU} decomposition In split quaternion mechanics ⋮ Elementary transformation and its applications for split quaternion matrices ⋮ Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices ⋮ A novel algebraic approach for the Schrödinger equation in split quaternionic mechanics

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