A group majorization ordering for Euclidean distance matrices

DOI10.1016/j.laa.2006.08.013zbMath1162.15011OpenAlexW1963600370MaRDI QIDQ861025

Tadashi Sakuma, Hiroshi Kurata

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.08.013

zbMATH Keywords

eigenvalueEuclidean distance matrixgroup majorization ordering

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

Majorization for the eigenvalues of Euclidean distance matrices

Cites Work

• Unnamed Item
• A group majorization ordering for correlation matrices
• Properties of Euclidean and non-Euclidean distance matrices
• Distance matrices and regular figures
• Circum-Euclidean distance matrices and faces
• Faces of the cone of Euclidean distance matrices: characterizations, structure and induced geometry
• Inequalities: theory of majorization and its applications
• Geometry of cuts and metrics
• Two theorems on Euclidean distance matrices and Gale transform
• On (super-)spherical distance matrices and two results from Schoenberg

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