Generalized reflexive matrices: Special properties and applications. (English) Zbl 0910.15005

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.
Reviewer: E.Ellers (Toronto)


15B57 Hermitian, skew-Hermitian, and related matrices
15A90 Applications of matrix theory to physics (MSC2000)
65F20 Numerical solutions to overdetermined systems, pseudoinverses
Full Text: DOI