Representations and properties of the W-weighted core-EP inverse

DOI10.1080/03081087.2018.1535573zbMath1473.15009arXiv1803.10186OpenAlexW2898462951WikidataQ114641368 ScholiaQ114641368MaRDI QIDQ5134966

Pedro Patrício, Yuefeng Gao, Jian-Long Chen

Publication date: 18 November 2020

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

Full work available at URL: https://arxiv.org/abs/1803.10186

zbMATH Keywords

complexityouter inversecore-EP inverseweighted core-EP inversepseudo core inverse

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Applications of generalized inverses (15A10)

Related Items (19)

Weighted MPCEP inverse of an operator between Hilbert spaces ⋮ The Core-EP, Weighted Core-EP Inverse of Matrices and Constrained Systems of Linear Equations ⋮ The W -weighted BT inverse ⋮ Weighted generalized Moore-Penrose inverse ⋮ Representations of the weighted WG inverse and a rank equation's solution ⋮ Characterizations of the weighted core-EP inverses ⋮ The full rank expressions for the \(W\)-weighted Drazin and core-EP inverse of a matrix and their applications ⋮ Generalized core-EP inverse for square matrices ⋮ Weighted binary relations involving core-EP inverse ⋮ Weighted weak group inverse for Hilbert space operators ⋮ Further results on weighted core-EP inverse of matrices ⋮ Perturbation bounds for the W-weighted core-EP inverse ⋮ A characterization and perturbation bounds for the weighted core-ep inverse ⋮ Solvability of some constrained matrix approximation problems using core-EP inverses ⋮ Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations ⋮ Weighted minimization problems for quaternion matrices ⋮ Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses ⋮ Weighted weak core inverse of operators ⋮ New classes of more general weighted outer inverses

Cites Work

• Core-EP decomposition and its applications
• Full-rank representations of outer inverses based on the QR decomposition
• On generalized inverses and Green's relations
• Generalized matrix inversion is not harder than matrix multiplication
• A Drazin inverse for rectangular matrices
• Integral representation of the \(W\)-weighted Drazin inverse
• A class of outer generalized inverses
• Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application
• Representations and properties of theW-Weighted Drazin inverse
• Core inverse of matrices
• Revisiting the core EP inverse and its extension to rectangular matrices
• Pseudo core inverses in rings with involution
• Weighted core–EP inverse of an operator between Hilbert spaces
• Core–EP pre-order of Hilbert space operators
• Core–EP inverse
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Representations and properties of the W-weighted core-EP inverse