Euclidean and circum-Euclidean distance matrices: characterizations and linear preservers
ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 739-752.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: Short proofs are given to various characterizations of the (circum-)Euclidean squared distance matrices. Linear preserver problems related to these matrices are discussed.
Classification : 51K05, 15A57, 15A48
Mots-clés : distance geometry, multidimensional scaling, eigenvalues, interlacing inequalities, linear preservers 
@article{EEJLA_2010__20__a1,
     author = {Li, Chi-Kwong and Milligan, Thomas and Trosset, Michael W.},
     title = {Euclidean and {circum-Euclidean} distance matrices: characterizations and linear preservers},
     journal = {ELA. The Electronic Journal of Linear Algebra},
     pages = {739--752},
     publisher = {mathdoc},
     volume = {20},
     year = {2010},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a1/}
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Li, Chi-Kwong; Milligan, Thomas; Trosset, Michael W. Euclidean and circum-Euclidean distance matrices: characterizations and linear preservers. ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 739-752. https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a1/