A note on Rao and Mitra's constrained inverse and Drazin's \((b,c)\) inverse

DOI10.1016/j.laa.2017.02.025zbMath1372.15002OpenAlexW2596557491MaRDI QIDQ2400248

Dragan S. Rakić

Publication date: 28 August 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2017.02.025

zbMATH Keywords

core-EP inverseinverse along an element\((b, c)\)-inverseconstrained inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (9)

Equivalence relations based on \((b, c)\)-inverses in rings ⋮ Further results on the (b, c)-inverse, the outer inverse AT,S(2) and the Moore–Penrose inverse in the Banach context ⋮ Further results on several types of generalized inverses ⋮ Existence criteria and expressions of the \((b,c)\)-inverse in rings and their applications ⋮ On the continuity and differentiability of the (dual) core inverse in C*-algebras ⋮ New characterizations of the CMP inverse of matrices ⋮ Centralizer's applications to the \((b, c)\)-inverses in rings ⋮ Rank equalities related to the generalized inverses \(A^{\Vert (B_1,C_1)}\), \(D^{\Vert(B_2,C_2)}\) of two matrices \(A\) and \(D\) ⋮ Rank equalities related to a class of outer generalized inverse

Cites Work

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• On generalized inverses and Green's relations
• Generalized inverses. Theory and applications.
• A class of outer generalized inverses
• Core inverse of matrices
• Core–EP inverse
• On the Algebra of Networks

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