Factorization of generalized γ-generating matrices

The class of γ–generating matrices and its subclasses of regular and singular γ–generating matrices were introduced by D. Z. Arov in [8], where it was shown that every γ-generating matrix admits an essentially unique regular–singular factorization. The class of generalized γ-generating matrices was...

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Published in:Український математичний вісник
Date:2017
Main Author: Sukhorukova, O.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/169379
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Factorization of generalized γ-generating matrices / O. Sukhorukova // Український математичний вісник. — 2017. — Т. 14, № 4. — С. 575-594. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The class of γ–generating matrices and its subclasses of regular and singular γ–generating matrices were introduced by D. Z. Arov in [8], where it was shown that every γ-generating matrix admits an essentially unique regular–singular factorization. The class of generalized γ-generating matrices was introduced in [14,20]. In the present paper subclasses of singular and regular generalized γ-a theorem of existence of regular–singular factorization for rational generalized γ-generating matrix is found.
ISSN:1810-3200