Notes on Greub-Rheinboldt inequalities

DOI10.1186/1029-242X-2013-7zbMath1282.15018OpenAlexW1989285940WikidataQ59301951 ScholiaQ59301951MaRDI QIDQ389175

Hongyi Li, Di Zhao, Zhiguo Gong

Publication date: 17 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-7

zbMATH Keywords

commutative positive definite Hermitian matrix pairsGreub-Rheinboldt matrix inequalities

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

Exponential inequalities for sums of unbounded ϕ-mixing sequence and their applications ⋮ An explicit formula for the inverse of a pentadiagonal Toeplitz matrix

Cites Work

• Matrix versions of the Cauchy and Kantorovich inequalities
• New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces
• Antieigenvalue techniques in statistics
• A matrix version of the Wielandt inequality and its applications to statistics
• Constrained Kantorovich inequalities and relative efficiency of least squares
• Interaction antieigenvalues
• Several matrix Kantorovich-type inequalities
• On the joint antieigenvalues of operators in normal subalgebras
• Complete form of Furuta inequality
• A matrix version of the Ky Fan generalization of the kantorovich inequality

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