Inequalities for group invertible \(H\)-matrices

DOI10.1016/j.laa.2018.04.011zbMath1415.15020OpenAlexW2797083222WikidataQ129991186 ScholiaQ129991186MaRDI QIDQ2002556

K. C. Sivakumar, Manami Chatterjee

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.04.011

zbMATH Keywords

group inversecomparison matrixdiagonally dominant matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

Intervals of \(H\)-matrices and inverse \(M\)-matrices

Cites Work

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• Reverse order law of group inverses of products of two matrices
• Classes of general \(H\)-matrices
• On the comparison of H-matrices with M-matrices
• The Moore-Penrose inverses of singular M-matrices
• A revisitation of formulae for the Moore-Penrose inverse of modified matrices.
• Generalized inverses. Theory and applications.
• Two-sided bounds for the inverse of an \(H\)-matrix
• The group inverse of a triangular matrix
• Some inequalities for matricesAsuch thatA-Iis positive definite or anM-Matrix^∗

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