A new structure-preserving algorithm based on the semi-tensor product of matrices for split quaternion matrix LDU decomposition and its applications

DOI10.1016/J.CAM.2024.116072MaRDI QIDQ6582026

Anli Wei, Wenxv Ding, Ying Li, Jianli Zhao

Publication date: 1 August 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

zero divisorssemi-tensor product of matricesLDU decompositionsplit quaternion matrix\(\mathcal{L}\) structure-preserving algorithm

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Basic linear algebra (15Axx) Special matrices (15Bxx)

Cites Work

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• Non-Hermitian Quantum Mechanics
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Structure Preserving Quaternion Generalized Minimal Residual Method
• Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation
• Least squares X=±X^η* solutions to split quaternion matrix equation AXA^η*=B
• SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E⁴₂

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