Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions

DOI10.1016/j.laa.2014.10.011zbMath1330.15002arXiv1407.2800OpenAlexW2049554333MaRDI QIDQ5962475

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Publication date: 12 February 2016

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

Full work available at URL: https://arxiv.org/abs/1407.2800

zbMATH Keywords

metricisometryangledensity matrixtriangle inequalitycorrelation matrixmetric-preserving functionsubadditive functiontriangle triplet

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Functional inequalities, including subadditivity, convexity, etc. (39B62) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (4)

Nearest neighbor control for practical stabilization of passive nonlinear systems ⋮ Inequalities for generalized matrix function and inner product ⋮ On a conjecture concerning interpolation by bivariate Bernstein polynomials ⋮ On results of Krein, Rao and Lin about angles between vectors in a Hilbert space

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• Introduction to Metric-Preserving Functions
• A Trace Inequality for Unitary Matrices
• The Rotation of Eigenvectors by a Perturbation. III
• Matrix theory. Basic results and techniques

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