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TitleA study on Gr\"obner basis with inexact input.
Author(s) Nagasaka Kosaku
TypeBook, Chapter in Book, Conference Proceeding
AbstractGröbner basis is one of the most important tools in recent symbolic algebraic computations. However, computing a Gröbner basis for the given polynomial ideal is not easy and it is not numerically stable if polynomials have inexact coefficients. In this paper, we study what we should get for computing a Gröbner basis with inexact coefficients and introduce a naive method to compute a Gröbner basis by reduced row echelon form, for the ideal generated by the given polynomial set having a priori errors on their coefficients.
ISBN978-3-642-04102-0/pbk
URL http://link.springer.com/chapter/10.1007%2F978-3-642-04103-7_22
LanguageEnglish
Pages247--258
PublisherBerlin: Springer
Year2009
Edition0
Translation No
Refereed No
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