Extension of bounded root functionals of a system of polynomial equations
Abstract
The notion of a root functional of a system of polynomials or ideal of polynomials is a generalization of the notion of a root, in particular, for a multiple root. A root functional is a linear functional that is defined on a polynomial ring and annuls the ideal of polynomials. A bounded root functional is a functional that annuls d-th component of the ideal in some filtration in this ideal. The paper consider bounded root functionals and their extension operation for a system of polynomial equation at which the number of equations is equal to the number of unknows. The extension operation has connection with the multivariate Bezoutian construction.
Cite
@article{arxiv.0804.2420,
title = {Extension of bounded root functionals of a system of polynomial equations},
author = {Timur R. Seifullin},
journal= {arXiv preprint arXiv:0804.2420},
year = {2009}
}
Comments
Published at Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2002, no. 7, 35--42 in English. Summary translated from Ukraine