## 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)
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### 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
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