Extensions of generalized core-EP inverse

DOI10.1007/s13398-022-01267-9zbMath1491.15010OpenAlexW4281647907MaRDI QIDQ2144429

Daochang Zhang, Predrag S. Stanimirović, Dijana Mosić

Publication date: 13 June 2022

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-022-01267-9

zbMATH Keywords

Moore-Penrose inverseouter inversecore-EP inverseGCEP inverse

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45) Applications of generalized inverses (15A10)

Related Items

Application of \(m\)-weak group inverse in solving optimization problems ⋮ The \(m\)-weak core inverse ⋮ New representations and properties of the \(m\)-weak group inverse

Uses Software

• Mathematica

Cites Work

• Core-EP decomposition and its applications
• Bordering method to compute core-EP inverse
• The gdmp inverse of Hilbert space operators
• Conditions for existence, representations, and computation of matrix generalized inverses
• On some new pre-orders defined by weighted Drazin inverses
• Generalized inverses. Theory and applications.
• Relationships between different sets involving group and Drazin projectors and nonnegativity
• Solvability of some constrained matrix approximation problems using core-EP inverses
• Generalization of the Moore-Penrose inverse
• Determinantal representations of the quaternion core inverse and its generalizations
• Characterizations and perturbation analysis of a class of matrices related to core-EP inverses
• Computing tensor generalized inverses via specialization and rationalization
• Characterizations and maximal classes of elements related to pseudo core inverses
• 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
• 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
• Maximal classes of matrices determining generalized inverses
• Properties of core-EP order in rings with involution
• Generalization of core-EP inverse for rectangular matrices
• Core inverse of matrices
• Numerical and Symbolic Computations of Generalized Inverses
• 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
• Continuity of the core-EP inverse and its applications
• Pseudo core inverses of a sum of morphisms
• Three limit representations of the core-EP inverse
• Maximal classes of operators determining some weighted generalized inverses
• Weighted pseudo core inverses in rings
• Core–EP inverse

This page was built for publication: Extensions of generalized core-EP inverse