A matrix inequality on Schur complements

DOI10.1007/BF02936575zbMath1086.15021OpenAlexW1969488132MaRDI QIDQ2386822

Xian Zhang, Zhong-Peng Yang, Chong Guang Cao

Publication date: 25 August 2005

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

Full work available at URL: https://doi.org/10.1007/bf02936575

zbMATH Keywords

Schur complementgeneralized inversematrix inequality

Mathematics Subject Classification ID

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

Related Items (1)

New bounds for Perron root of a nonnegative matrix

Cites Work

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• What are Schur complements, anyway?
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• The generalized inverse \(A_{T,*}^{(2)}\) and its applications
• Some results on the Bergstrom and Minkowski inequalities
• Some inequalities for Schur complements
• Some inequalities on generalized Schur complements
• Determination of the inertia of a partitioned Hermitian matrix
• Schur complements and matrix inequalities of hadamard products^∗
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
• Matrix theory. Basic results and techniques

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