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Linear algebra problems with generalized symmetries and numerical algorithms of their solution

By Ikramov Khakim Dododzhanovich

Abstract

Linear algebra problems with matrixes, possessing symmetry non-standard properties, have been considered in the paper. As a result the classification of linear algebra problems with generalized symmetries has been given, the symmetry use strategy has been indicated for each of three main types of symmetry. Theoretical-matrix statements, substantiating the suggested strategies, have been proved. Numerical algorithms, realizing the suggested strategies of the symmetry use, have been constructed and substantiated. The software for some classes of problems with generalized symmetries has been createdAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio

Topics: 12A - Pure mathematics, MATHEMATICS,AUTOMATICS AND TELEAUTOMATICS. COMPUTER ENGINEERING
Year: 1992
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Provided by: OpenGrey Repository
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