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The Projective Noether Maple Package: Computing the Dimension of a Projective Variety

机译:投影Noether枫木包装:计算投影品种的尺寸

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Recent theoretical advances in elimination theory use straight-line programs as a data structure to represent multivariate polynomials. We present here the Projective Noether Package which is a Maple implementation of one of these new algorithms, yielding as a byproduct a computation of the dimension of a projective variety. Comparative Results on benchmarks for time and space of several families of multivariate polynomial Equation systems are given and we point out both weaknesses and advantages of different approaches.
机译:消除理论的最新理论进展使用直线程序作为数据结构来表示多元多项式。我们在这里介绍了投射Noether程序包,它是这些新算法之一的Maple实现,作为副产品产生了投射变量的维数计算。给出了几个多元多项式方程组系统的时空基准的比较结果,并指出了不同方法的弱点和优点。

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