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Zbl 0910.15005
Chen, Hsin-Chu
Generalized reflexive matrices: Special properties and applications. (English)
[J] SIAM J. Matrix Anal. Appl. 19, No.1, 140-153 (1998). ISSN 0895-4798; ISSN 1095-7162/e

Let $P$ and $Q$ be two involutory Hermitian matrices. A rectangular matrix $A$ is called a generalized reflexive matrix if $A=PAQ$ holds. The author derives some properties for generalized reflexive matrices. He gives applications to a least squares problem , a problem in an electric network, and a problem that arises in the stress analysis of a rectangular truss structure.
[E.Ellers (Toronto)]

MSC 2000:: *15A57 Other types of matrices
15A90 Appl. of matrix theory to physics
65F20 Overdetermined systems (numerical linear algebra)

Keywords: generalized reflexive matrix; centrosymmetric matrix; orthogonality; involutory Hermitian matrices; least squares problem; electric network; stress analysis; truss structure

Cited in: Zbl 1080.15022

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