This article is cited in 3 papers

Coxeter transformations and the geometry of the data matrix

V. A. Kolmykov

Voronezh State University

Abstract: The Coxeter conjugation of an arbitrary set of square matrices is introduced and David matrices are defined. It is proved that the Coxeter conjugate of the set of all complex symmetric matrices coincides with the set of all complex David matrices.

UDC: 512.543.14+512.643.5+512.817.73

MSC: Primary 05C50; Secondary 15A57

Received: 13.06.2002

DOI: 10.4213/sm755

 English version: Sbornik: Mathematics, 2003, 194:7, 1069–1077

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