A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory

DOI10.1016/j.cpc.2013.05.001zbMath1344.65038OpenAlexW1973310238MaRDI QIDQ313041

Wenhao Ma, Ming-hui Wang

Publication date: 9 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.cpc.2013.05.001

zbMATH Keywords

structure-preserving algorithmquaternion matrixLU decomposition

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (13)

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Uses Software

• Matlab
• Quaternion

Cites Work

• Unnamed Item
• An iterative algorithm for least squares problem in quaternionic quantum theory
• A numerical method for computing the Hamiltonian Schur form
• Jacobi method for quaternion matrix singular value decomposition
• Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
• Quaternionic groups in physics
• A quaternion QR-algorithm
• A new structure-preserving method for quaternion Hermitian eigenvalue problems
• Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory
• Structured tools for structured matrices
• Quaternions and special relativity

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