We present an algorithm for the construction of a normal basis of a Galois extension of degree n in characteristic 0. The algorithm requires O(n 4 ) multiplications in the ground field. It is based on representation theory but does not require the knowledge of representation theoretical data (like c
β¦ LIBER β¦
A parallel algorithm for achieving the Smith Normal Form of an integer matrix
β Scribed by Ingmar Neumann; Wolfgang Wilhelmi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 815 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0167-8191
No coin nor oath required. For personal study only.
β¦ Synopsis
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 reached.
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