EP-nilpotent decomposition and its applications
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Publication:5122489
DOI10.1080/03081087.2018.1555571zbMath1450.15006OpenAlexW2905134272WikidataQ114641321 ScholiaQ114641321MaRDI QIDQ5122489
Publication date: 23 September 2020
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2018.1555571
Partial orders, general (06A06) Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)
Related Items (6)
Left and right power-EP matrices ⋮ Drazin inverse and generalization of core-nilpotent decomposition ⋮ The C-S inverse and its applications ⋮ Unnamed Item ⋮ EP-quasinilpotent decomposition and its generalizations ⋮ Solutions of the matrix inequality \(AXA\overset{?}{\leq}A\) in some partial orders
Cites Work
- Core-EP decomposition and its applications
- Characterizations of EP matrices and weighted-EP matrices
- Partial orders based on core-nilpotent decomposition
- A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem
- On group inverses and the sharp order
- Partial orders based on outer inverses
- Cartesian decompositions and Schatten norms
- Generalized inverses. Theory and applications.
- A note on solving EP inconsistent linear systems
- The class ofm-EPandm-normal matrices
- Core inverse of matrices
- A note on rank-additivity
- Natural structures on semigroups with involution
- Linear Algebra and Linear Models
- A partial order on the set of complex matrices with index one
- Solving EP singular linear systems
- Core–EP inverse
- Matrix theory. Basic results and techniques
- Inequalities and equalities for the Cartesian decomposition of complex matrices
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