On the group invertibility of operators

DOI10.13001/1081-3810.1967zbMath1354.15002OpenAlexW2505108763MaRDI QIDQ3186706

Chun-Yuan Deng

Publication date: 12 August 2016

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13001/1081-3810.1967

zbMATH Keywords

Moore-Penrose inversegroup inverseblock operator matrixreverse order lawEP operatoranti-triangular matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Characterizations of the group invertibility of a matrix revisited ⋮ On group invertibility in rings

Cites Work

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• The \((2,2,0)\) group inverse problem
• Group inverse for the block matrices with an invertible subblock
• EP elements in rings.
• Group inverse for a class \(2\times 2\) block matrices over skew fields
• Products of EP operators on Hilbert spaces
• Some results on the group inverse of the block matrix with a sub-block of linear combination or product combination of matrices over skew fields
• Some results on the group inverse for block matrices over skew fields
• Group inverses for matrices over a Bezout domain
• The group inverse of a companion matrix
• Representations for the Generalized Inverse of Sums of Matrices