Alternative characterizations of the extended Wedderburn-Guttman theorem
type: Item
instance of: scholarly article
title: Alternative characterizations of the extended Wedderburn-Guttman theorem
zbMATH Open document ID: 1115.15002
author: Yoshio Takane
author: Haruo Yanai
published in: Linear Algebra and its Applications
publication date: 2007-04-10T00:00:00Z
review text: The authors give alternative characterization of the extended Wedderburn-Guttman theorem using the product singular value decomposition (PSVD) of matrix triplets. Transforming the matrices into quasi-diagonal form has proven to be useful in establishing many matrix results in a variety of statistical contexts. PSVD of matrix triplets was initially developed as a way of obtaining the ordinary SVD of a product of the matrix triplets without actually computing the product. Although PSVD was originally developed for computational purposes, this paper demonstrates that it is also useful as a tool for a mathematical proof.
reviewed by: Yueh-er Kuo
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 5141644
zbMATH Keywords: rank identifiability conditions
zbMATH Keywords: product singular value decomposition
zbMATH Keywords: rank profiles
MaRDI profile type: Publication
full work available at URL: j.laa.2006.11.022
OpenAlex ID: W1981437408
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DOI: 10.1016/J.LAA.2006.11.022
description: scientific article; zbMATH DE number 5141644