多变量牛顿法
The Newton Procedure for several variables
摘要：
证明了多元Weierstrass多项式的根是有界算子的有理指数的幂级数，其牛顿图包含在S-锥中.作为应用，在第四节中，我们讨论了幂次幂级数的积分依赖性.
英文摘要：
We show that the roots of a Weierstrass polynomial on several variables are power series with rational exponents of bounded denominators, whose Newton diagrams are contained in an S-cone. As an application, in Section 4 we deal with some topics of integral dependence of Puiseux power series.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
