Titlebook: Symbolic-Numeric Computation; Dongming Wang,Lihong Zhi Conference proceedings 2007 Birkhäuser Basel 2007 Differential equations.GCD comput

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Trends in Mathematicshttp://image.papertrans.cn/t/image/883858.jpg

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https://doi.org/10.1007/978-3-7643-7984-1Differential equations; GCD computation; Gröbner bases; Numeric Computation; Numeric polynomial algebra;

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Proposal for the Algorithmic Use of the BKK-Number in the Algebraic Reduction of a O-dimensional Polso shown how numerical stability may be preserved in such an approach, and how near-singular systems are recognized and handled. There remain a number of open questions which should stimulate further research.