Open AccessA proof of the main theorem on Bezoutians
Author(s) -
Branko Ćurgus,
Aad Dijksma
Publication year - 2014
Publication title -
elemente der mathematik
Language(s) - English
Resource type - Journals
eISSN - 1420-8962
pISSN - 0013-6018
DOI - 10.4171/em/243
Subject(s) - mathematics , combinatorial proof , combinatorics , pure mathematics , matrix (chemical analysis) , discrete mathematics , algebra over a field , chemistry , chromatography
We give a self-contained proof that the nullity of the Bezoutian matrix associated with a pair of polynomials $f$ and $g$ equals the number of their common zeros counting multiplicities.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom