Invertibility of a linear combination of two matrices and partial orderings

DOI10.1016/j.amc.2011.10.052zbMath1245.15011OpenAlexW2017012649MaRDI QIDQ426457

Dragana S. Cvetković-Ilić, Marina Tošić

Publication date: 11 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.10.052

zbMATH Keywords

invertibilityMoore-Penrose inversepartial orderingEP-matrixgroup invertible matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Weighted binary relations involving the Drazin inverse, Space pre-order and minus partial order for operators on Banach spaces, Further results on partial ordering and the generalized inverses, Unnamed Item, Further properties on the core partial order and other matrix partial orders, On nonsingularity and group invertibility of combinations of two group invertible matrices, The weak core inverse, On the star and minus orders on Hilbert space operators, Weighted G-Drazin inverses and a new pre-order on rectangular matrices, The star partial order and the eigenprojection at 0 on EP matrices, On a partial order defined by the weighted Moore-Penrose inverse, On some new pre-orders defined by weighted Drazin inverses, Relationships between DMP relation and some partial orders, Further Results on the Sharp Ordering in Rings, The diamond partial order in rings, Ordered matrices with nonnegative group projector, The Drazin and generalized Drazin invertibility of linear combinations of idempotents

Cites Work

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