M. F. Bessmertnyi. Groups Of Nonlinear Congruences And Geodesic Lines On The Ordered Set Of Positive Definite Matrices
Submitted on: Mar 09, 2019, 04:38:51
Natural Sciences / Mathematics / nonlinear analysis
Description: A family of nonlinear transformation groups of Hermitian matrices preserving the basic linear congruences properties is constructed. Each group generates a structure of a partially ordered vector multispace on the set of Hermitian matrices. Determinant inequalities which allow as to find geodesic lines for an analog of indefinite metric on positive definite matrix set are obtained.
The abstract of this article will be published in the March 2019 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.
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GROUPS OF NONLINEAR CONGRUENCES AND GEODESIC LINES ON THE ORDERED SET OF POSITIVE DEFINITE MATRICES.pdf