Inequalities involving powers of generalized inverses

DOI10.1016/0024-3795(94)90354-9zbMath0796.15021OpenAlexW2089842773WikidataQ127065655 ScholiaQ127065655MaRDI QIDQ1322873

V. Pereyra

Publication date: 5 October 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90354-9

zbMATH Keywords

matrix inequalitiesgeneralized inversesmeansHölder's inequalitypositive semidefinite matricesconverses of matrix forms

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

Inequalities with weights for powers of generalized inverses. II ⋮ Matrix inequalities involving a positive linear map

Cites Work

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• On Jessen's inequality for convex functions
• A matrix inequality including that of Kantorovich-Hermite. II
• A matrix inequality including that of Kantorovich
• Reserval of the Lyapunov, Hölder, and Minkowski inequalities and other extensions of the Kantorovich inequality
• Generalized inverse extensions of matrix inequalities
• Shorter Notes: A Matrix Version of Rennie's Generalization of Kantorovich's Inequality
• Differences of means
• A generalized matrix version of Rennie's inequality
• Bounds on ratios of means

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