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 consisting of the matrix and its the divisor...
Збережено в:
| Дата: | 2004 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
|
| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156417 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-156417 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1564172019-06-19T01:27:15Z Generalized equivalence of collections of matrices and common divisors of matrices Petrychkovych, V.M. 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. 2004 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/156417 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Petrychkovych, V.M. |
| spellingShingle |
Petrychkovych, V.M. Generalized equivalence of collections of matrices and common divisors of matrices Algebra and Discrete Mathematics |
| author_facet |
Petrychkovych, V.M. |
| author_sort |
Petrychkovych, V.M. |
| title |
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_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_sort |
generalized equivalence of collections of matrices and common divisors of matrices |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2004 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156417 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT petrychkovychvm generalizedequivalenceofcollectionsofmatricesandcommondivisorsofmatrices |
| first_indexed |
2023-05-20T17:49:34Z |
| last_indexed |
2023-05-20T17:49:34Z |
| _version_ |
1796154187958976512 |