Polynomial factorization and the Q-D algorithm
โ Scribed by L. Fox; Linda Hayes
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 924 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we analyze the Gauss-Huard algorithm. From a description of the algorithm in terms of matrix-vector operations we reveal a close relation between the Gauss-Huard algorithm and an LU factorization as constructed in an ikj variant.
To approximate all roots (zeros) of a univariate polynomial, we develop two effective algorithms and combine them in a single recursive process. One algorithm computes a basic well isolated zero-free annulus on the complex plane, whereas another algorithm numerically splits the input polynomial of t
For several decades the standard algorithm for factoring polynomials f with rational coefficients has been the Berlekamp-Zassenhaus algorithm. The complexity of this algorithm depends exponentially on n, where n is the number of modular factors of f . This exponential time complexity is due to a com