We present a new algorithm to compute the Integer Smith normal form of large sparse matrices. We reduce the computation of the Smith form to independent, and therefore parallel, computations modulo powers of word-size primes. Consequently, the algorithm does not suffer from coefficient growth. We ha
Fast computation of the Smith form of a sparse integer matrix
β Scribed by M. Giesbrecht
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 473 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1016-3328
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π SIMILAR VOLUMES
The Smith Normal Form of a matrix is a diagonal representation which contains the invariant factors of the matrix in its diagonal. In this paper, a new algorithm, which exploits parallelism by considering data dependencies, is proposed. In case of sparse matrices a high degree of parallelism can he
We consider the problem of bringing a given matrix into "cyclic form," from which the rational form can be computed easily. Matrices are taken to have p-adic integer entries, and computations are done with rational integer approximations to p-adic integers. We give bounds on the precision necessary