Psychometrika

, Volume 3, Issue 1, pp 19–22 | Cite as

Discussion of a set of points in terms of their mutual distances

  • Gale Young
  • A. S. Householder
Article

Abstract

Necessary and sufficient conditions are given for a set of numbers to be the mutual distances of a set of real points in Euclidean space, and matrices are found whose ranks determine the dimension of the smallest Euclidean space containing such points. Methods are indicated for determining the configuration of these points, and for approximating to them by points in a space of lower dimensionality.

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References

  1. Young, Gale, “Matrix Approximation and Sub-space Fitting,”Psychometrika, 1937,2, 21–25.Google Scholar
  2. Horst, Paul, “A Method of Factor Analysis by Means of Which all Coordinates of the Factor Matrix are Given Simultaneously,”Psychometrika, 1937,2, 225–236.Google Scholar
  3. Householder, A.S., andYoung, Gale, “Matrix Approximation and Latent Roots,”The American Mathematical Monthly, 1938,45, 165–171.Google Scholar

Copyright information

© Psychometric Society 1938

Authors and Affiliations

  • Gale Young
    • 1
  • A. S. Householder
    • 1
  1. 1.The University of ChicagoUSA

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