Geodesic
Coxeter transformations and the~geometry of the~data matrix
Sbornik. Mathematics, Tome 194 (2003) no. 7, pp. 1069-1077

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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. 
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     author = {V. A. Kolmykov},
     title = {Coxeter transformations and the~geometry of the~data  matrix},
     journal = {Sbornik. Mathematics},
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     url = {http://geodesic.mathdoc.fr/item/SM_2003_194_7_a6/}
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V. A. Kolmykov. Coxeter transformations and the~geometry of the~data  matrix. Sbornik. Mathematics, Tome 194 (2003) no. 7, pp. 1069-1077. http://geodesic.mathdoc.fr/item/SM_2003_194_7_a6/