Algebraic method for LU decomposition of dual quaternion matrix and its corresponding structure-preserving algorithm

DOI10.1007/s11075-024-01753-8MaRDI QIDQ6624869

Ying Li, Tao Wang, Yimeng Xi, Musheng Wei, Mingcui Zhang

Publication date: 28 October 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

real structure-preserving algorithmLU decompositionGaussian transformationdual quaternion matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Numerical analysis (65-XX)

Cites Work

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• Geometrie der Dynamen. Die Zusammensetzung von Kräften und verwandte Gegenstände der Geometrie.
• A real structure-preserving method for the quaternion LU decomposition, revisited
• Dual quaternions and dual quaternion vectors
• Robust \(H_\infty\) kinematic control of manipulator robots using dual quaternion algebra
• Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations
• Quaternions and matrices of quaternions
• Dual quaternion matrices in multi-agent formation control
• Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices

Related Items (2)

Moore determinant of dual quaternion Hermitian matrices ⋮ Dual complex structure-preserving algorithm of dual quaternion singular value decomposition and its applications

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