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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author Sukhorukova, O.
author_facet Sukhorukova, O.
citation_txt Factorization of generalized γ-generating matrices / O. Sukhorukova // Український математичний вісник. — 2017. — Т. 14, № 4. — С. 575-594. — Бібліогр.: 20 назв. — англ.
collection DSpace DC
container_title Український математичний вісник
description 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.
first_indexed 2025-12-07T13:23:12Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1810-3200
language English
last_indexed 2025-12-07T13:23:12Z
publishDate 2017
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Sukhorukova, O.
2020-06-11T18:03:26Z
2020-06-11T18:03:26Z
2017
Factorization of generalized γ-generating matrices / O. Sukhorukova // Український математичний вісник. — 2017. — Т. 14, № 4. — С. 575-594. — Бібліогр.: 20 назв. — англ.
1810-3200
https://nasplib.isofts.kiev.ua/handle/123456789/169379
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.
This work was supported by a Volkswagen Stiftung grant and grant of the Ministry of Education and Science of Ukraine (project 0115U000556).
en
Інститут прикладної математики і механіки НАН України
Український математичний вісник
Factorization of generalized γ-generating matrices
Article
published earlier
spellingShingle Factorization of generalized γ-generating matrices
Sukhorukova, O.
title Factorization of generalized γ-generating matrices
title_full Factorization of generalized γ-generating matrices
title_fullStr Factorization of generalized γ-generating matrices
title_full_unstemmed Factorization of generalized γ-generating matrices
title_short Factorization of generalized γ-generating matrices
title_sort factorization of generalized γ-generating matrices
url https://nasplib.isofts.kiev.ua/handle/123456789/169379
work_keys_str_mv AT sukhorukovao factorizationofgeneralizedγgeneratingmatrices