The symmetric procrustes problem

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1988 United Kingdom English Publisher:Springer Science and Business Media LLCJournal:BIT, volume 28, pages 133-143 (issn: 0006-3835, eissn: 1572-9125,

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Authors: Higham, N J;

doi: 10.1007/bf01934701

The symmetric procrustes problem

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Abstract

The author defines as the ``symmetric Procrustes'' (SP) problem a constrained least squares approximation problem with the additional requirement of symmetry on the unknown matrix. The main contributions of the author are the use of the singular value decomposition to solve and analyse the SP problem, and the examination of the stability of methods for numerical solution.

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United Kingdom

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Keywords

Numerical solutions to overdetermined systems, pseudoinverses, Numerical mathematical programming methods, singular value decomposition, Quadratic programming, stability, symmetric Procrustes problem, constrained least squares approximation problem

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