M. F. Bessmertnyi. Groups Of Nonlinear Congruences And Geodesic Lines On The Ordered Set Of Positive Definite Matrices


Natural Sciences / Mathematics / nonlinear analysis

Submitted on: Mar 09, 2019, 04:38:51

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 Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

The Library and Archives Canada reference page: http://collectionscanada.gc.ca/ourl/res.php?url_ver=Z39.88......

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GROUPS OF NONLINEAR CONGRUENCES AND GEODESIC LINES ON THE ORDERED SET OF POSITIVE DEFINITE MATRICES.pdf



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