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Multidimensional scaling with constraints on the configuration

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  • Mathar, Rudolf

Abstract

In this paper we determine a configuration in a constrained set such that the corresponding distance matrix is closest to a given (not necessarily Euclidean) one. We admit a wide class of appropriate matrix norms as measures of closeness. Majorization inequalities serve as basic tools.

Suggested Citation

  • Mathar, Rudolf, 1990. "Multidimensional scaling with constraints on the configuration," Journal of Multivariate Analysis, Elsevier, vol. 33(2), pages 151-156, May.
    • Handle: RePEc:eee:jmvana:v:33:y:1990:i:2:p:151-156
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    Cited by:

    1. Groenen, P.J.F. & van der Lans, A., 2006. "Multidimensional Scaling with Regional Restrictions for Facet Theory: An Application to Levi's Political Protest Data," ERIM Report Series Research in Management ERS-2006-057-MKT, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    2. Herden, Gerhard & Pallack, Andreas, 2002. "Consistency in ordinal data analysis I," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 79-113, January.
    3. Herden, Gerhard & Pallack, Andreas, 2005. "Adequateness and interpretability of objective functions in ordinal data analysis," Journal of Multivariate Analysis, Elsevier, vol. 94(1), pages 19-69, May.

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