show · alg.bezout_matrix all knowls · up · search:

Given two polynomials $f$ and $g$ of degree at most $n$, their degree-$n$ Bezout matrix is the $n\times n$ matrix $(c_{ij})$ where \[ \frac{f(x)g(y)-f(y)g(x)}{x-y} = \sum_{i,j=1}^n c_{ij} x^i y^{j}.\] The determinant of this matrix is the resultant of the two polynomials.

Authors:
Knowl status:
  • Review status: beta
  • Last edited by Wanlin Li on 2019-09-20 16:48:49
Referred to by:
History: (expand/hide all) Differences (show/hide)