TRACING A PLANAR ALGEBRAIC CURVE高校应用数学学报：英文版论文
【题名】：TRACING A PLANAR ALGEBRAIC CURVE高校应用数学学报：英文版论文(TRACING A PLANAR ALGEBRAIC CURVEGaoXiaoYingYongShuXueXueBao：YingWenBanLunWen) 【关键词】：描迹曲线 代数曲线 子域 多项式算子 有理数 【keywords】：MiaoJiQuXian DaiShuQuXian ZiYu DuoXiangShiSuanZi YouLiShu 【作者】：EllENFALAI,FENGYUYU,JERENJKOZAK,      【来源】： 知识词典 【期刊名称】：高校应用数学学报：英文版(GaoXiaoYingYongShuXueXueBao：YingWenBan) 【国际标准刊号】：1005-1031        【国内统一刊号】：33-1171 【作者单位】：[1]SupportedbyNSFandSFofNatlonaiEducationalCommitteeofChina. [2]SuppotredinpartbyICTP,andinpartbyNSFandSFofNationalEducationalCommitteeofChina [3]SupportedbytheMinistryofScienceandTechnologyofSlovenia.([1]SupportedbyNSFandSFofNatlonaiEducationalCommitteeofChina. [2]SuppotredinpartbyICTP,andinpartbyNSFandSFofNationalEducationalCommitteeofChina [3]SupportedbytheMinistryofScienceandTechnologyofSlovenia.) 【分类号】：O17      【页码】：-15-24      【出版年】：1997.1 【下载地址】：下载pdf全文         In this paper, an algorithm that determines a real algebraic curve is outlined. Its basicstep is to divide the plane into subdomain1s that include only simple branches of the algebraic curvewithout singular points. Each of the branches is then stably and efficiently traced in the particularsubdomain. Except for tracing, the algorithm requires only a couple of simple operations on poly-nomials that ran be carried out exacrly if the coefficients are rational, and the determination of the real roots of several univariate polynomials.
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