Refinements of Kantorovich inequality for Hermitian matrices

DOI10.1155/2012/483624zbMath1264.15044OpenAlexW1965912904WikidataQ58905966 ScholiaQ58905966MaRDI QIDQ1952863

Feixiang Chen

Publication date: 3 June 2013

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

Full work available at URL: https://doi.org/10.1155/2012/483624

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

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• A generalization of Grüss's inequality in inner product spaces and applications
• Several matrix Kantorovich-type inequalities
• Extrema of quadratic forms and statistical applications
• Variational bounds on the entries of the inverse of a matrix
• The inefficiency of least squares
• Kantorovich inequalities and efficiency comparisons for several classes of estimators in linear models
• Operator versions of the Kantorovich inequality
• On Bessel and Grüss inequalities for orthonormal families in inner product spaces
• Reverses of the Schwarz inequality generalising a Klamkin–McLenaghan result
• A study of Auchmuty's error estimate

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