Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations

DOI10.1080/01630563.2022.2108835zbMath1503.15006OpenAlexW4291164503WikidataQ114100997 ScholiaQ114100997MaRDI QIDQ5099773

Chen Ling, Hongjin He, Liqun Qi

Publication date: 26 August 2022

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2022.2108835

zbMATH Keywords

singular valuelow-rank approximationminimax principleSVD factorizationdual quaternionic matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Numerical methods for low-rank matrix approximation; matrix compression (65F55) Quaternionic functional analysis (46S05)

Related Items (5)

Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices ⋮ Dual core-nilpotent decomposition and dual binary relation ⋮ Dual \(r\)-rank decomposition and its applications ⋮ The perturbation of Drazin inverse and dual Drazin inverse ⋮ Dual core generalized inverse of third-order dual tensor based on the T-product

Cites Work

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• On the comparisons of unit dual quaternion and homogeneous transformation matrix
• Dual quaternions and dual quaternion vectors
• The variation of the spectrum of a normal matrix
• Improved Matrix Algorithms via the Subsampled Randomized Hadamard Transform
• Subspace Iteration Randomization and Singular Value Problems
• Near-Optimal Column-Based Matrix Reconstruction
• Quaternions and matrices of quaternions

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