Some more properties of core partial order

DOI10.1016/j.amc.2013.06.012zbMath1329.15016OpenAlexW2001807119MaRDI QIDQ905283

Saroj B. Malik

Publication date: 19 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.012

zbMATH Keywords

Moore-Penrose inversegroup inversestar ordercore inversecore partial ordersharp orderminus orderrange Hermitian

Mathematics Subject Classification ID

Partial orders, general (06A06) Theory of matrix inversion and generalized inverses (15A09)

Related Items

Core inverse and core partial order of Hilbert space operators ⋮ The structures and properties of some generalized invertible operators ⋮ Some new results on the core partial order ⋮ Star, sharp, core and dual core partial order in rings with involution ⋮ Further results on partial ordering and the generalized inverses ⋮ Characterizations of the core inverse and the core partial ordering ⋮ A new partial order based on core partial order and star partial order ⋮ Partial orders based on the CS decomposition ⋮ Revisitation of the core inverse ⋮ Relationships between DMP relation and some partial orders ⋮ Further Results on the Sharp Ordering in Rings ⋮ Some theorems on the core inverse of matrices and the core partial ordering ⋮ On a new generalized inverse of matrices ⋮ Partial orders in rings based on generalized inverses -- unified theory. ⋮ One-sided sharp order in rings ⋮ On partial orders of Hilbert space operators ⋮ On some partial orders on a certain subset of the power set of rings ⋮ Maximal classes of matrices determining generalized inverses ⋮ Core partial order in rings with involution ⋮ Core and strongly core orthogonal matrices

Cites Work

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• The star partial order and the eigenprojection at 0 on EP matrices
• Left-star and right-star partial orderings
• Shorted matrices in star and related orderings
• The minus partial order and the shorted matrix
• On group inverses and the sharp order
• Relationships between partial orders of matrices and their powers.
• Matrix partial orders and reversal law
• Matrices for whichA^∗andA^†commute
• Core inverse of matrices

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