A method for discovering Kantorovich-type inequalities and a probabilistic interpretation

DOI10.1016/0024-3795(87)90150-9zbMath0631.15010OpenAlexW2005090873MaRDI QIDQ1094503

Geoffrey S. Watson

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90150-9

zbMATH Keywords

eigenvaluesconvexityHermitian matrixlower and upper boundsKantorovich inequalityelementary geometry

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (5)

The Kantorovich inequality for error analysis of the Kalman filter with unknown noise distributions ⋮ Some comments on six inequalities associated with the inefficiency of ordinary least squares with one regressor ⋮ New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces ⋮ Convexity conditions of Kantorovich function and related semi-infinite linear matrix inequalities ⋮ A converse to the Jensen inequality, its matrix extensions and inequalities for minors and eigenvalues

Cites Work

• SERIAL CORRELATION IN REGRESSION ANALYSIS. I
• An Inequality Arising in Genetical Theory
• The inefficiency of least squares
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