Maximal classes of matrices determining generalized inverses
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Publication:2335144
DOI10.1016/j.amc.2018.03.102zbMath1427.15004OpenAlexW2797334395WikidataQ129994204 ScholiaQ129994204MaRDI QIDQ2335144
Nestor Janier Thome, D. E. Ferreyra, Fabián E. Levis
Publication date: 13 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/143889
Related Items (46)
Weighted MPCEP inverse of an operator between Hilbert spaces ⋮ GDMP-inverses of a matrix and their duals ⋮ Left and right G-outer inverses ⋮ Properties of the CMP inverse and its computation ⋮ Outer-star and star-outer matrices ⋮ Representations and properties for the MPCEP inverse ⋮ Extensions of generalized core-EP inverse ⋮ Revisiting of the BT-inverse of matrices ⋮ Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses ⋮ Generalization of core-EP inverse for rectangular matrices ⋮ Characterizations and maximal classes of elements related to pseudo core inverses ⋮ The weak core inverse ⋮ Generalizations of composite inverses with certain image and/or kernel ⋮ The W -weighted BT inverse ⋮ A generalization of the group inverse ⋮ Representations of the weighted WG inverse and a rank equation's solution ⋮ Core–EP Star and Star Core–EP Operators ⋮ Characterizations of the weighted core-EP inverses ⋮ Quaternion Two-Sided Matrix Equations with Specific Constraints ⋮ The \(m\)-weak core inverse ⋮ Index-MP and MP-index matrices ⋮ Wg-Drazin-star operator and its dual ⋮ \(W\)-MPD-\(N\)-DMP-solutions of constrained quaternion matrix equations ⋮ Characterizations and representations of weak core inverses and $m$-weak group inverses ⋮ Weighted weak group inverse for Hilbert space operators ⋮ New representations and properties of the \(m\)-weak group inverse ⋮ Maximal classes of operators determining some weighted generalized inverses ⋮ 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 ⋮ Solvability of some constrained matrix approximation problems using core-EP inverses ⋮ EP-quasinilpotent decomposition and its generalizations ⋮ MPD-DMP-solutions to quaternion two-sided restricted matrix equations ⋮ Weighted composite outer inverses ⋮ Generalization of the Moore-Penrose inverse ⋮ Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations ⋮ Determinantal representations of the quaternion core inverse and its generalizations ⋮ Characterizations, approximation and perturbations of the core-EP inverse ⋮ Weighted minimization problems for quaternion matrices ⋮ Determinantal representations of the core inverse and its generalizations with applications ⋮ From projectors to 1MP and MP1 generalized inverses and their induced partial orders ⋮ Drazin-star and star-Drazin matrices ⋮ Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses ⋮ A weak group inverse for rectangular matrices ⋮ The new revisitation of core EP inverse of matrices ⋮ New classes of more general weighted outer inverses
Cites Work
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- Some more properties of core partial order
- The Moore-Penrose inverse of a partitioned matrix \(M=\begin{pmatrix} D&D\\ B&C\end{pmatrix}\)
- New characterizations for core inverses in rings with involution
- Some theorems on the core inverse of matrices and the core partial ordering
- Generalized inverses. Theory and applications.
- Matrix Tricks for Linear Statistical Models
- Core inverse of matrices
- Revisiting the core EP inverse and its extension to rectangular matrices
- On a new generalized inverse of matrices
- An Alternate Form of the Generalized Inverse of an Arbitrary Complex Matri
- Core–EP inverse
- An Explicit Form of the Moore–Penrose Inverse of an Arbitrary Complex Matrix
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