Change of order for regular chains in positive dimension

Xavier Dahan, Xin Jin, Marc Moreno Maza, Éric Schost

研究成果: ジャーナルへの寄稿学術論文査読

13 被引用数 (Scopus)

抄録

We discuss changing the variable order for a regular chain in positive dimension. This quite general question has applications going from implicitization problems to the symbolic resolution of some systems of differential algebraic equations. We propose a modular method, reducing the problem to computations in dimension zero and one. The problems raised by the choice of the specialization points and the lack of the (crucial) information of what are the free and algebraic variables for the new order are discussed. Strong (but not unusual) hypotheses for the initial regular chain are required; the main required subroutines are change of order in dimension zero and a formal Newton iteration.

本文言語英語
ページ(範囲)37-65
ページ数29
ジャーナルTheoretical Computer Science
392
1-3
DOI
出版ステータス出版済み - 2008 2月 28

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