Hostname: page-component-74656f9884-rdgjk Total loading time: 0 Render date: 2026-11-09T10:47:02.323Z Has data issue: false hasContentIssue false
  • English
  • Français

The Analytical Solution of the Additive Constant Problem

Published online by Cambridge University Press:  01 January 2025

Francis Cailliez
Francis Cailliez*
Affiliation:
Centre Technique Forestier Tropical
*
Reprint requests should be addressed to Francis Cailliez, Centre Technique Forestier Tropical, 45 Bis, avenue de la Belle Gabrielle, 94130 Nogent Sur Marne, France.
Get access Rights & Permissions [Opens in a new window]

Abstract

If d is a measure of dissimilarity on a finite set with n elements, the smallest positive constant c* such that d + c has an euclidean representation for all c ≥c* is shown to be the largest eigen-value of a matrix of size 2n.

Keywords

additive constantmultidimensional scaling

Information

Type
Notes And Comments
Information
Psychometrika , Volume 48 , Issue 2 , June 1983 , pp. 305 - 308
Copyright
Copyright © 1983 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Cailliez, F. & Pagès, J. P. Introduction à L'Analyse des Donnèes. SMASH, 9 rue Duban 75016 Paris, 1976.Google Scholar
de Leeuw, J. & Heiser, W. Theory of multidimensional scaling. In Krishnaiah, P. R. & Kanal, L. N. (Eds.), Handbook of statistics (Vol. 2), Amsterdam: North-Holland Publishing Company, 1982.Google Scholar