A new extension of the core inverse

DOI10.1016/J.CAM.2024.116305MaRDI QIDQ6653556

Dijana Mosić, Author name not available (Why is that?)

Publication date: 16 December 2024

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

zbMATH Keywords

Moore-Penrose inversecore inversecore-EP inverseMPCEP inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Linear equations (linear algebraic aspects) (15A06)

Cites Work

• Title not available (Why is that?)
• Core-EP decomposition and its applications
• On a new generalized inverse for matrices of an arbitrary index
• Reverse order law for the core inverse in rings
• New characterizations for core inverses in rings with involution
• The core inverse of a product and \(2\times 2\) matrices
• Some theorems on the core inverse of matrices and the core partial ordering
• Generalized inverses. Theory and applications.
• Solvability of some constrained matrix approximation problems using core-EP inverses
• Determinantal representations of the quaternion core inverse and its generalizations
• The core inverse and constrained matrix approximation problem
• Representations and properties for the MPCEP inverse
• Further results on weighted core-EP inverse of matrices
• Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses
• Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse
• Integral representations of two generalized core inverses
• Maximal classes of matrices determining generalized inverses
• Properties of core-EP order in rings with involution
• Core inverse of matrices
• Some new results on the core partial order
• Three limit representations of the core-EP inverse
• On a new generalized inverse for Hilbert space operators
• Characterizations of k-commutative equalities for some outer generalized inverses
• Core–EP inverse
• New generalizations of the core and dual core inverses

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