Reverse order law for least squares g-inverses of multiple matrix products
Authors: Liu, Qiaohua1; Wei, Musheng2
Source: Linear and Multilinear Algebra, Volume 56, Number 5, September 2008 , pp. 491-506(16)
Publisher: Taylor and Francis Ltd
- In this: publication
- By this: publisher
- In this Subject: Mathematics and Statistics
- By this author: Liu, Qiaohua ; Wei, Musheng
Abstract:
In this paper, by applying the product singular value decomposition (P-SVD), we consider the conditions of the reverse order law for the least squares g-inverses of multiple matrix products, including necessary or sufficient conditions for one side inclusion relations [image omitted] and [image omitted]Keywords: Reverse order law; Least squares g-inverses; P-SVD
Document Type: Research article
DOI: 10.1080/03081080701340547
Affiliations: 1: Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China 2: Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China

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