M. F. Bessmertnyi. Groups Of Nonlinear Congruences And Geodesic Lines On The Ordered Set Of Positive Definite Matrices
Natural Sciences / Mathematics / Algebra
Submitted on: Mar 12, 2019, 01:39:28
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 us to find geodesic lines for an analog of indefinite metric on positive definite matrix set are obtained.