Characteristic polynomials of distance matrices of one dimensional sets

DOI10.1016/J.LAA.2007.12.011zbMath1145.15010OpenAlexW2012325607MaRDI QIDQ924337

Kenneth W. Holladay

Publication date: 15 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.12.011

zbMATH Keywords

algorithmspindistance matrixAnt polynomialantisymmetric eigenvectorDin polynomialrelative eigenvalueSof polynomialsSym polynomials

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) General theory of distance geometry (51K05) Matrices, determinants in number theory (11C20)

Cites Work

• Derived eigenvalues of symmetric matrices, with applications to distance geometry
• Relative eigenvalues of Hermitian matrices
• The distance matrix eigensystem of an equally spaced row of points
• Eigenvectors of certain matrices
• On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space
• Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors
• Classroom Note: Some Eigenvalue Properties of Persymmetric Matrices
• A note on the determinants and eigenvalues of distance matrices
• The Inverse of a Centrosymmetric Matrix
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