A direct proof and a generalization for a Kantorovich type inequality

DOI10.1016/j.laa.2004.10.009zbMath1074.15025OpenAlexW1976694838MaRDI QIDQ1774968

Jieyong Zhou, Jian-Guo Huang

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.10.009

zbMATH Keywords

eigenvaluespositive definite matrixKantorovich type inequality

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

Fast gradient method for low-rank matrix estimation ⋮ Convexity conditions of Kantorovich function and related semi-infinite linear matrix inequalities

Cites Work

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• Some inequalities involving the euclidean condition of a matrix
• A matrix version of the Wielandt inequality and its applications to statistics
• Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications
• Matrix Analysis
• Inexact Preconditioned Conjugate Gradient Method with Inner-Outer Iteration
• Interior Methods for Nonlinear Optimization

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