, Volume 48, Issue 2, pp 305–308 | Cite as

The analytical solution of the additive constant problem

  • Francis Cailliez
Notes And Comments


Ifd is a measure of dissimilarity on a finite set withn elements, the smallest positive constantc* such thatd +c has an euclidean representation for allcc* is shown to be the largest eigen-value of a matrix of size 2n.

Key words

additive constant multidimensional scaling 


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  1. F. Cailliez & J. P. Pagès.Introduction à L'Analyse des Donnèes. SMASH, 9 rue Duban 75016 Paris, 1976.Google Scholar
  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.Google Scholar

Copyright information

© The Psychometric society 1983

Authors and Affiliations

  • Francis Cailliez
    • 1
  1. 1.Centre Technique Forestier TropicalNogent Sur MarneFrance

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