The Bézout matrix in the Lagrange basis
Azar Shakoori · 2004
A recent paper by Amiraslani, Corless, Gonzalez-Vega and Shakoori studies polynomial algebra by values, without first converting to another basis such as the monomial basis. Their methodology is driven by a desire to avoid ill-conditioning in such changes of basis. In this talk I expand on some details from that paper, namely the construction and use of the Bézout matrix directly from given polynomial values. We here show details of the construction of common roots of polynomials directly from the eigenvectors of the constructed Bézout matrix.