On the nonuniqueness of the factorization factors in the product singular value decomposition
type: Item
instance of: scholarly article
title: On the nonuniqueness of the factorization factors in the product singular value decomposition
zbMATH Open document ID: 0970.65034
DOI: 10.1016/S0024-3795(00)00136-1
author: Delin Chu
author: B. De Moor
published in: Linear Algebra and its Applications
publication date: 2001-10-07T00:00:00Z
review text: The product singular value decomposition, as is used in e.g. the Procrustes problem, is described in a partitioned form such that 5 arbitrary orthogonal blocks, 3 arbitrary rectangular blocks and one arbitrary nonsingular block determine the choices available when the decomposition is not unique. The sizes of the blocks is determined by ranks of the matrices and their product, and the multiplicity of the singular values.
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 1506625
zbMATH Keywords: product singular value decomposition
zbMATH Keywords: Procrustes problem
reviewed by: Axel Ruhe
MaRDI profile type: Publication
cites work: Q5689624
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description: scientific article; zbMATH DE number 1506625