Change of order for regular chains in positive dimension
Change of order for regular chains in positive dimension
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DOI：
10.1016/j.tcs.2007.10.003
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发表时间：
2008-02
期刊：
影响因子：
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通讯作者：
X. Dahan;Xin Jin;M. M. Maza-M.;É. Schost
中科院分区：
文献类型：
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作者：
X. Dahan;Xin Jin;M. M. Maza-M.;É. Schost
本文讨论了正维数正则链的变序问题。这个相当普遍的问题有从隐式化问题到某些微分代数方程系统的符号解析的应用。我们提出了一个模块化的方法，减少问题的计算在零和一维。所提出的问题的选择的专业化点和缺乏（关键）的信息是什么自由和代数变量的新秩序进行了讨论。需要对初始规则链进行强（但并非不寻常）假设;主要需要的子程序是零维阶数的改变和正式的牛顿迭代。
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.