Anisotropic Orthogonal Procrustes Analysis

  • Authors:
  • Mohammed Bennani Dosse;Jos Ten Berge

  • Affiliations:
  • University of Rennes 2, Place du Recteur Henri Le Moal, CS 24307 35043, Rennes Cedex, France;University Groningen, Heijmans Institute of Psychological Research, Grote Kruisstraat, 9712 TS, Groningen, Netherlands

  • Venue:
  • Journal of Classification
  • Year:
  • 2010

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Abstract

The aim of this paper is to analyze two scaling extensions of the Orthogonal Procrustes Problem (OPP) called the pre-scaling and the post-scaling approaches. We also discuss some problems related to these extensions and propose two new algorithms to find optimal solutions. These algorithms, which are based on the majorization principle, are shown to be monotonically convergent and their performance is examined.