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Perturbation analysis of the orthogonal procrustes problem
1993 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 33, no 4, p. 687-694Article in journal (Refereed) Published
Abstract [en]

Given two arbitrary real matrices A and B of the same size, the orthogonal Procrustes problem is to find an orthogonal matrix M such that the Frobenius norm ||MA - B|| is minimized. This paper treats the common case when the orthogonal matrix M is required to have a positive determinant. The stability of the problem is studied and suprem um results for the perturbation bounds are derived.

Place, publisher, year, edition, pages
1993. Vol. 33, no 4, p. 687-694
National Category
Computational Mathematics
Research subject
Scientific Computing
Identifiers
URN: urn:nbn:se:ltu:diva-4863DOI: 10.1007/BF01990543Local ID: 2ddff380-c734-11db-98d9-000ea68e967bOAI: oai:DiVA.org:ltu-4863DiVA, id: diva2:977737
Note
Upprättat; 1993; 20070228 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-03-08Bibliographically approved

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Söderkvist, Inge

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