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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)

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