The QLY least-squares and the QLY least-squares minimal-norm of linear dual least squares problems

DOI10.1080/03081087.2023.2223348zbMATH Open1547.15013MaRDI QIDQ6608148

Chong Cui, Hongxing Wang, Yimin Wei

Publication date: 19 September 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Applications of generalized inverses (15A10)

Cites Work

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• Dual quaternions and dual quaternion vectors
• Linear algebra and numerical algorithms using dual numbers
• Numerical and Symbolic Computations of Generalized Inverses
• Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations
• Generalizations of singular value decomposition to dual-numbered matrices
• Standard dual quaternion optimization and its applications in hand-eye calibration and SLAM
• Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain

Related Items (3)

Perturbation of least squares problem of dual linear operator in dual-Hilbert spaces ⋮ Perturbations of Moore-Penrose inverse and dual Moore-Penrose generalized inverse ⋮ A genuine extension of the Moore-Penrose inverse to dual matrices

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