On the history of the Bezoutian and the resultant matrix
β Scribed by Harald K. Wimmer
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 614 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper deals with some ideas of BΓ©zout and his successors Poisson, Netto and Laurent for solving polynomial systems. We treat them from the determinantal and from the GrΓΆbner basis point of view. This results in effective algorithms for constructing the multivariate resultant. Other problems of
Given an irreducible polynomial P β Z[X] of degree at least three and 0 = a β Z we are going to determine all those monic quadratic polynomials This is the first attempt for the complete resolution of resultant type equations. We illustrate our algorithm with a detailed example.