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A Unified Algorithm for Multivariate Analytic Factorization

机译:一种多变量分析分解的统一算法

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The expansion base algorithm, which was devised by Abhyankar, Kuo and McCallum is very efficient for analytic factorization of bivariate polynomials. The author had extended it to more than two variables but it was only for polynomials with non-vanishing leading coefficient at the expansion point. In this paper, we improve it to be able to apply to polynomials including the case of vanishing leading coefficient, that is, singular leading coefficient, which comes to a specific problem only for more than two variables.
机译:由AbhyaMankar,Kuo和McCallum设计的扩展基础算法对于双变量多项式的分析分解非常有效。作者已将其扩展到两个以上的变量,但它仅适用于扩展点的非消失的主要系数的多项式。在本文中,我们改进它能够适用于多项式,包括消失的主要系数的情况,即奇异的前导系数,这仅针对两个以上的变量来到特定问题。

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