On the eigenvalues of Euclidean distance matrices

On the eigenvalues of Euclidean distance matrices

In this paper, the notion of equitable partitions (EP) is used to study the eigenvalues of Euclidean distance matrices (EDMs). In particular, EP is used to obtain the characteristic polynomials of regular EDMs and non-spherical centrally symmetric EDMs. The paper also presents methods for constructi...

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Veröffentlicht in:Computation and applied mathematics 2008, Vol.27 (3), p.237-250
1. Verfasser: Alfakih, A.Y.
Format: Artikel
Sprache:eng
Schlagworte:
MATHEMATICS, APPLIED
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Zusammenfassung:In this paper, the notion of equitable partitions (EP) is used to study the eigenvalues of Euclidean distance matrices (EDMs). In particular, EP is used to obtain the characteristic polynomials of regular EDMs and non-spherical centrally symmetric EDMs. The paper also presents methods for constructing cospectral EDMs and EDMs with exactly three distinct eigenvalues.
ISSN:0101-8205
1807-0302
0101-8205
DOI:10.1590/S0101-82052008000300001