On singular value decomposition and generalized inverse of a commutative quaternion matrix and applications

DOI10.1016/j.amc.2023.128291MaRDI QIDQ6095053

Vasiliy I. Vasil'ev, Gang Wang, Tong-Song Jiang, Dong Zhang

Publication date: 11 October 2023

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

zbMATH Keywords

singular value decompositionleast squares problemMoore-Penrose generalized inversecomplex representationcommutative quaternion matrix

Mathematics Subject Classification ID

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

Cites Work

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• An introduction to commutative quaternions
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• Universal similarity factorization equalities for commutative quaternions and their matrices
• On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G)
• Structure Preserving Quaternion Generalized Minimal Residual Method
• Algebraic techniques for least squares problems in commutative quaternionic theory
• Commutative Reduced Biquaternions and Their Fourier Transform for Signal and Image Processing Applications
• Quaternions and matrices of quaternions
• Color Image Restoration by Saturation-Value Total Variation

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