Perturbation of Polynomial Ideals
نویسندگان
چکیده
منابع مشابه
Perturbation of Polynomial Ideals
In this paper we explore the interrelationship between the theory of polynomial ideals and certain branches of analysis including multivariate approximation theory and linear partial differential equations. Specifically, we use the perturbation technique from analysis to study the codimension of a multivariate polynomial ideal. Let K be a field. In this paper, K will often be the field C of com...
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In this paper we consider an algorithmic technique more general than that proposed by Zharkov and Blinkov for the involutive analysis of polynomial ideals. It is based on a new concept of involutive monomial division which is defined for a monomial set. Such a division provides for each monomial the self-consistent separation of the whole set of variables into two disjoint subsets. They are cal...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 1996
ISSN: 0196-8858
DOI: 10.1006/aama.1996.0013