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TitleThe Construction of Multivariate Polynomials with Preassigned Zeros
Author(s) Bruno Buchberger, Hans Michael Möller
TypeArticle in Conference Proceedings
AbstractWe present an algorithm for constructing a basis of the ideal of all polynomials, which vanish at a preassigned set of points {y1, ... ,ym} subset K^n, K a field. The algorithm yields also Newton-type polynomials for pointwise interpolation. These polynomials admit an immediate construction of interpolating polynomials and allow to shorten the algorithm, if it is applied to an enlarged set {y1, ... ,ym1} subset K^n, m1} m.
Length9
ISBN3-540-11607-9
CopyrightSpringer-Verlag Berlin
File
LanguageEnglish
JournalLecture Notes in Computer Science
Volume144
Pages24-31
PublisherSpringer-Verlag
AddressLondon, UK
Year1982
Translation No
Refereed No
ConferencenameEuropean Computer Algebra Conference (EUROCAM'82)
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