The CEPGD-inverse for square matrices

DOI10.1007/s41980-023-00826-zzbMath1528.15004OpenAlexW4388200861MaRDI QIDQ6071342

Dijana Mosić, Jajati Keshari Sahoo, Alena A. Stupina, Ratikanta Behera, Predrag S. Stanimirović, Saroja Kumar Panda

Publication date: 23 November 2023

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-023-00826-z

zbMATH Keywords

generalized inverseMoore-Penrose inversematrix partial orderingcore-EP inverseG-Drazin inverse

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)

Cites Work

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• Core-EP decomposition and its applications
• On a new generalized inverse for matrices of an arbitrary index
• Group, Moore-Penrose, core and dual core inverse in rings with involution
• Partial orders based on core-nilpotent decomposition
• Bordering method to compute core-EP inverse
• The gdmp inverse of Hilbert space operators
• Ordering positive definite matrices
• Generalized inverses: theory and computations
• Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations
• The weak group matrix
• From projectors to 1MP and MP1 generalized inverses and their induced partial orders
• On 2MP-, MP2- and C2MP-inverses for rectangular matrices
• Perturbation bounds for the core inverse of matrices
• Properties of the CMP inverse and its computation
• Representations and symbolic computation of generalized inverses over fields
• Characterizations, approximation and perturbations of the core-EP inverse
• Core and core-EP inverses of tensors
• Algebraic properties of generalized inverses
• Weighted G-Drazin inverses and a new pre-order on rectangular matrices
• Generalizations of composite inverses with certain image and/or kernel
• Characterizations of the weighted core-EP inverses
• Partial Order Concepts in Applied Sciences
• Matrices for whichA^∗andA^†commute
• Core inverse of matrices
• ON ONE-SIDED (B;C)-INVERSES OF ARBITRARY MATRICES
• On DMP inverses and m-EP elements in rings
• 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
• Characterizations and representations of the core inverse and its applications
• Continuity of the core-EP inverse and its applications
• Core-EP inverse in rings with involution
• Core–EP inverses in Banach algebras
• The DMP inverse for rectangular matrices
• Weighted inner inverse for rectangular matrices
• Three limit representations of the core-EP inverse
• On a new generalized inverse for Hilbert space operators
• A characterization and perturbation bounds for the weighted core-ep inverse
• Composite outer inverses for rectangular matrices
• Characterizations and Representations of Core and Dual Core Inverses
• Core–EP inverse
• Different characterizations of DMP-inverse of matrices
• Characterizations and representations for the CMP inverse and its application
• GDMP-inverses of a matrix and their duals
• Mathematical tools for data mining. Set theory, partial orders, combinatorics

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