可变参数dixon结式的分布式计算

Guo Rongxiang
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引用次数: 0

摘要

消元法是求解非线性多项式方程的有效方法。主要包括吴氏法、Grobner基法和合成法。狄克逊合成法比其他合成法效率更高。但当多项式集的秩较高时,Dixon矩阵会增大。箴。傅红光等人提出了计算Dixon合成多项式的递归算法,减少了计算单元。本文提出了Dixon结果的分布式计算模型。将GiNaC移植和扩展到分布式计算环境中。提出了解决通信等问题的方法。介绍了系统的设计与实现,并给出了计算结果。
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Distributed computation of dixon resultant with changeable arguments
Elimination method is an effective method for solving non-linear polynomial equations. It mainly includes Wu's methods, Grobner base and resultant methods. Dixon resultant is more efficient than other resultant methods. But Dixon matrix enlarges greatly when the polynomial sets have higher rank. Pro.Fu Hongguang et al worked out the recursive algorithm for computing Dixon resultant polynomial, by which the computation unit can be reduced. In this paper, distributed computing model for Dixon resultant is presented. GiNaC is transplanted and extended into distributed computing environment. The solution to communication etc problems is suggested. The system design and implementation are introduced, the computation result is given.
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