×

The analytical solution of the additive constant problem. (English) Zbl 0534.62079

Summary: If d is a measure of dissimilarity on a finite set with n elements, the smallest positive constant \(c^*\) such that \(d+c\) has a Euclidean representation for all \(c\geq c^*\) is shown to be the largest eigenvalue of a matrix of size 2n.

MSC:

62P15 Applications of statistics to psychology
62H99 Multivariate analysis
62-07 Data analysis (statistics) (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] F. Cailliez & J. P. Pagès.Introduction à L’Analyse des Donnèes. SMASH, 9 rue Duban 75016 Paris, 1976.
[2] de Leeuw, J. & Heiser, W. Theory of multidimensional scaling. In P. R. Krishnaiah & L. N. Kanal (Eds.),Handbook of statistics (Vol. 2). Amsterdam: North-Holland Publishing Company, 1982. · Zbl 0511.62076
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.