Perturbations of Moore-Penrose inverse and dual Moore-Penrose generalized inverse

DOI10.1007/s12190-023-01920-5zbMATH Open1544.15003MaRDI QIDQ6578182

Yimin Wei, Hongxing Wang, Chong Cui

Publication date: 25 July 2024

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

zbMATH Keywords

singular value decompositionMoore-Penrose inversematrix perturbationdual matrixdual Moore-Penrose generalized inverse

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55)

Cites Work

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• Dual quaternions and dual quaternion vectors
• Linear Dual Algebra Algorithms and their Application to Kinematics
• Sharp Norm-Estimations for Moore–Penrose Inverses of Stable Perturbations of Hilbert $C^*$-Module Operators
• Numerical and Symbolic Computations of Generalized Inverses
• Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations
• A note on stable perturbations of Moore–Penrose inverses
• Generalizations of singular value decomposition to dual-numbered matrices
• Representations for Moore-Penrose inverses in Hilbert spaces
• The QLY least-squares and the QLY least-squares minimal-norm of linear dual least squares problems

Related Items (2)

Perturbation of least squares problem of dual linear operator in dual-Hilbert spaces ⋮ QR decomposition of dual matrices and its application

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