Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse (Q2243223)

scientific article

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English	Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse	scientific article

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instance of

scholarly article

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title

Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse (English)

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author

Hai Feng Ma

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Predrag S. Stanimirović

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Dijana Mosić

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Ivan I. Kyrchei

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published in

Applied Mathematics and Computation

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publication date

11 November 2021

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zbMATH Keywords

core-EP inverse

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Schur decomposition

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sign pattern

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core-EP solution

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.amc.2021.126247

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cites work

Core inverse of matrices

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Q3424479

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Q3207128

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Revisiting the core EP inverse and its extension to rectangular matrices

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On the use of two QMR algorithms for solving singular systems and applications in Markov chain modeling

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Matrices for whichA∗andA†commute

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Explicit expressions of the generalized inverses and condensed Cramer rules

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The Core-EP, Weighted Core-EP Inverse of Matrices and Constrained Systems of Linear Equations

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Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules

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Determinantal representations of the Moore–Penrose inverse over the quaternion skew field and corresponding Cramer's rules

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Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations

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Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations

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Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field

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Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field

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Determinantal representations of the core inverse and its generalizations with applications

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Determinantal representations of the quaternion core inverse and its generalizations

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A characterization and perturbation bounds for the weighted core-ep inverse

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Characterizations and representations of the core inverse and its applications

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Perturbation theory for Moore-Penrose inverse of tensor via Einstein product

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Characterizations, approximation and perturbations of the core-EP inverse

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Core–EP inverse

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Generalized tensor function via the tensor singular value decomposition based on the T-product

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Gradient methods for computing the Drazin-inverse solution

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Perturbation of the weighted core-EP inverse

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Weighted core–EP inverse of an operator between Hilbert spaces

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Solvability of some constrained matrix approximation problems using core-EP inverses

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Two finite-time convergent Zhang neural network models for time-varying complex matrix Drazin inverse

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A Short Proof of Cramer's Rule

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The error bound of the perturbation of the Drazin inverse

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Core and core-EP inverses of tensors

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Matrices with doubly signed generalized inverses

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Development of iterative techniques and extrapolation methods for Drazin inverse solution of consistent or inconsistent singular linear systems

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A unified approach to Krylov subspace methods for the Drazin-inverse solution of singular nonsymmetric linear systems

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Core-EP decomposition and its applications

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Characterizations of the core inverse and the core partial ordering

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The core inverse and constrained matrix approximation problem

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Acute perturbation of the group inverse

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Q2823268

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Numerical and Symbolic Computations of Generalized Inverses

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Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index

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Three limit representations of the core-EP inverse

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.AMC.2021.126247

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Sitelinks

Mathematics(1 entry)

mardi Publication:2243223