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...
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| Date: | 2004 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2004
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156417 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| Summary: | 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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