On a class of divisors of matrices
β Scribed by V. P. Shchedrik
- Book ID
- 105480887
- Publisher
- Springer US
- Year
- 1999
- Tongue
- English
- Weight
- 349 KB
- Volume
- 96
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
We describe a "semi-modular" algorithm which computes for a given integer matrix A of known rank and a given prime p the multiplicities of p in the factorizations of the elementary divisors of A. Here "semi-modular" means that we apply operations to the integer matrix A but the operations are driven
Let A be an n X n matrix over a field of characteristic 2. If n is odd, then A is similar to an s-symmetric matrix (one symmetric around the diagonal from lower left to upper right). If n is even, this holds iff the elementary divisors of A that are odd powers of separable polynomials occur with eve