New classes of more general weighted outer inverses

DOI10.1080/03081087.2020.1713712zbMath1487.15008OpenAlexW2999633430WikidataQ126348917 ScholiaQ126348917MaRDI QIDQ5023602

Dijana Mosić, Hai Feng Ma, Predrag S. Stanimirović

Publication date: 24 January 2022

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1713712

zbMATH Keywords

representationDrazin inverseouter inversecore-EP inverseweighted outer inverse

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09)

Related Items

Weighted G-Outer Inverse of Banach Spaces Operators ⋮ Generalizations of composite inverses with certain image and/or kernel ⋮ Further results on weighted core-EP inverse of matrices ⋮ On 2MP-, MP2- and C2MP-inverses for rectangular matrices

Cites Work

• Unnamed Item
• Core inverse and core partial order of Hilbert space operators
• Core-EP decomposition and its applications
• On a new generalized inverse for matrices of an arbitrary index
• A Drazin inverse for rectangular matrices
• The perturbation theory for the Drazin inverse and its applications
• Integral representation of the \(W\)-weighted Drazin inverse
• On integral representation of the generalized inverse \(A_{T,S}^{(2)}\).
• The representation and approximation of the \(W\)-weighted Drazin inverse of linear operators in Hilbert space.
• Bordering method to compute core-EP inverse
• The \((b,c)\)-inverse in rings and in the Banach context
• Weighted outer inverse
• Conditions for existence, representations, and computation of matrix generalized inverses
• Generalized inverses: theory and computations
• Characterizations, approximation and perturbations of the core-EP inverse
• Core and core-EP inverses of tensors
• Maximal classes of matrices determining generalized inverses
• Optimal perturbation bounds for the core inverse
• Perturbation bounds for DMP and CMP inverses of tensors via Einstein product
• Algebraic properties of generalized inverses
• A class of outer generalized inverses
• Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application
• Indefinite product of matrices and applications to indefinite inner product spaces
• Determinantal Representation of Outer Inverses in Riemannian Space
• Integral and limit representations of the outer inverse in Banach space
• Representations and properties of theW-Weighted Drazin inverse
• Core inverse of matrices
• A Stable and Efficient Algorithm for the Indefinite Linear Least-Squares Problem
• Numerical and Symbolic Computations of Generalized Inverses
• ON ONE-SIDED (B;C)-INVERSES OF ARBITRARY MATRICES
• Revisiting the core EP inverse and its extension to rectangular matrices
• Pseudo core inverses in rings with involution
• On a new generalized inverse of matrices
• Weighted core–EP inverse of an operator between Hilbert spaces
• Three limit representations of the core-EP inverse
• Representations and properties of the W-weighted core-EP inverse
• A characterization and perturbation bounds for the weighted core-ep inverse
• Characterizations of k-commutative equalities for some outer generalized inverses
• Core–EP pre-order of Hilbert space operators
• Core–EP inverse
• Computation of Generalized Inverse Matrices which Satisfy Specified Conditions
• Inverses of Rank Invariant Powers of a Matrix

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