Generalized equivalence of collections of matrices and common divisors of matrices
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Generalized equivalence of collections of matrices and common divisors of matrices
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| Creator |
Petrychkovych, V.M.
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| 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. |
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| Date |
2019-06-18T13:30:25Z
2019-06-18T13:30:25Z 2004 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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