Majorization for the eigenvalues of Euclidean distance matrices

DOI10.1016/j.laa.2011.08.022zbMath1244.15011OpenAlexW2074949939MaRDI QIDQ665966

Pablo Tarazaga, Hiroshi Kurata

Publication date: 7 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.08.022

zbMATH Keywords

orthogonal groupeigenvaluespositive definite matrixmajorizationEuclidean distance matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (2)

Noisy Euclidean Distance Realization: Robust Facial Reduction and the Pareto Frontier ⋮ Coordinate Shadows of Semidefinite and Euclidean Distance Matrices

Cites Work

• A group majorization ordering for Euclidean distance matrices
• On the eigenvalues of Euclidean distance matrices
• Distance matrices and regular figures
• Inequalities associated with intra-inter-class correlation matrices.
• Connections between the real positive semidefinite and distance matrix completion problems
• Circum-Euclidean distance matrices and faces
• Faces of the cone of Euclidean distance matrices: characterizations, structure and induced geometry
• The cone of distance matrices
• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• Inequalities: theory of majorization and its applications

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