Determinantal representations of the core inverse and its generalizations with applications
From MaRDI portal
Publication:2299989
DOI10.1155/2019/1631979zbMath1448.15009OpenAlexW2979227112WikidataQ127183983 ScholiaQ127183983MaRDI QIDQ2299989
Publication date: 24 February 2020
Published in: Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/1631979
Theory of matrix inversion and generalized inverses (15A09) Applications of generalized inverses (15A10)
Related Items
Properties of the CMP inverse and its computation, Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses, Generalizations of composite inverses with certain image and/or kernel, The Core-EP, Weighted Core-EP Inverse of Matrices and Constrained Systems of Linear Equations, Quaternion Two-Sided Matrix Equations with Specific Constraints, Index-MP and MP-index matrices, Wg-Drazin-star operator and its dual, New representations and properties of the \(m\)-weak group inverse, Unnamed Item, On forward-order law for core inverse in rings, EP-quasinilpotent decomposition and its generalizations, Sign pattern, usability, representations and perturbation for the core-EP and weighted core-EP inverse, Expressions and properties of weak core inverse, The core inverse and constrained matrix approximation problem, Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses
Cites Work
- Unnamed Item
- On a generalized core inverse
- Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations
- Core-EP decomposition and its applications
- On a new generalized inverse for matrices of an arbitrary index
- Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field
- Group, Moore-Penrose, core and dual core inverse in rings with involution
- Generalized inverses over integral domains
- Full-rank and determinantal representation of the Drazin inverse
- Bordering method to compute core-EP inverse
- Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field
- New characterizations for core inverses in rings with involution
- Determinantal representations of solutions and Hermitian solutions to some system of two-sided quaternion matrix equations
- Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse
- Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation
- Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field
- On generalized inverses of matrices over integral domains
- Generalized inverses. Theory and applications.
- Cramer's rules for Sylvester quaternion matrix equation and its special cases
- Characterizations, approximation and perturbations of the core-EP inverse
- Maximal classes of matrices determining generalized inverses
- High-order iterative methods for the DMP inverse
- Determinantal representation of the generalized inverses over the quaternion skew field with applications
- Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations
- Bott-Duffin inverse over the quaternion skew field with applications
- Cramer's rule for quaternionic systems of linear equations
- Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation
- New matrix partial order based on spectrally orthogonal matrix decomposition
- Determinantal representations of the Moore–Penrose inverse over the quaternion skew field and corresponding Cramer's rules
- Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules
- Core inverse of matrices
- On a weighted core inverse in a ring with involution
- 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
- Note on the core matrix partial ordering
- Three limit representations of the core-EP inverse
- Right core inverse and the related generalized inverses
- Characterizations and Representations of Core and Dual Core Inverses
- Core–EP inverse
- On the Algebra of Networks