Algorithm Q-LSQR for the least squares problem in quaternionic quantum theory

DOI10.1016/j.cpc.2010.02.011zbMath1216.65050OpenAlexW1971462687MaRDI QIDQ536912

Ming-hui Wang

Publication date: 31 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.cpc.2010.02.011

zbMATH Keywords

LSQR algorithmquaternion arithmeticquaternionic least squares problem

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (5)

An efficient real representation method for least squares problem of the quaternion constrained matrix equation AXB + CY D = E ⋮ LSQR algorithm with structured preconditioner for the least squares problem in quaternionic quantum theory ⋮ A new implementation of LSMR algorithm for the quaternionic least squares problem ⋮ Iterative algorithms for least-squares solutions of a quaternion matrix equation ⋮ Matrix iterative algorithms for least-squares problem in quaternionic quantum theory

Uses Software

• LSQR
• Quaternion
• CRAIG

Cites Work

• Algebraic algorithms for least squares problem in quaternionic quantum theory
• An iterative algorithm for least squares problem in quaternionic quantum theory
• Solving the secular equation including spin orbit coupling for systems with inversion and time reversal symmetry
• Jacobi method for quaternion matrix singular value decomposition
• Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing
• A quaternion QR-algorithm
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Quaternionic eigenvalue problem
• Calculating the Singular Values and Pseudo-Inverse of a Matrix
• Quaternions and matrices of quaternions

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