Generalized equivalence of collections of matrices and common divisors of matrices
The collections (A1, ..., Ak) and (B1, ..., Bk) of
 matrices over an adequate ring are called generalized equivalent if
 Ai = UBiVi for some invertible matrices U and Vi
 , i = 1, ..., k.
 Some conditions are established under which the finite collection
 cons...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2004 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/156417 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Generalized equivalence of collections of matrices and common divisors of matrices / V.M. Petrychkovych // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 84–91. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862543181613105152 |
|---|---|
| author | Petrychkovych, V.M. |
| author_facet | Petrychkovych, V.M. |
| citation_txt | Generalized equivalence of collections of matrices and common divisors of matrices / V.M. Petrychkovych // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 84–91. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | The collections (A1, ..., Ak) and (B1, ..., Bk) of
matrices over an adequate ring are called generalized equivalent if
Ai = UBiVi for some invertible matrices U and Vi
, i = 1, ..., k.
Some conditions are established under which the finite collection
consisting of the matrix and its the divisors is generalized equivalent
to the collection of the matrices of the triangular and diagonal
forms. By using these forms the common divisors of matrices is
described.
|
| first_indexed | 2025-11-24T21:47:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156417 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T21:47:56Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Petrychkovych, V.M. 2019-06-18T13:30:25Z 2019-06-18T13:30:25Z 2004 Generalized equivalence of collections of matrices and common divisors of matrices / V.M. Petrychkovych // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 84–91. — Бібліогр.: 14 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 15A33, 15A21, 15A23. https://nasplib.isofts.kiev.ua/handle/123456789/156417 The collections (A1, ..., Ak) and (B1, ..., Bk) of
 matrices over an adequate ring are called generalized equivalent if
 Ai = UBiVi for some invertible matrices U and Vi
 , i = 1, ..., k.
 Some conditions are established under which the finite collection
 consisting of the matrix and its the divisors is generalized equivalent
 to the collection of the matrices of the triangular and diagonal
 forms. By using these forms the common divisors of matrices is
 described. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Generalized equivalence of collections of matrices and common divisors of matrices Article published earlier |
| spellingShingle | Generalized equivalence of collections of matrices and common divisors of matrices Petrychkovych, V.M. |
| title | Generalized equivalence of collections of matrices and common divisors of matrices |
| title_full | Generalized equivalence of collections of matrices and common divisors of matrices |
| title_fullStr | Generalized equivalence of collections of matrices and common divisors of matrices |
| title_full_unstemmed | Generalized equivalence of collections of matrices and common divisors of matrices |
| title_short | Generalized equivalence of collections of matrices and common divisors of matrices |
| title_sort | generalized equivalence of collections of matrices and common divisors of matrices |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156417 |
| work_keys_str_mv | AT petrychkovychvm generalizedequivalenceofcollectionsofmatricesandcommondivisorsofmatrices |