Numerical calculation of the multiplicity of a solution to algebraic equations

被引：12

作者：

Kobayashi, H

Suzuki, H

Sakai, Y

机构：

[1] Nihon Univ, Dept Math, Tokyo 101, Japan

[2] Tokyo Polytech Coll, Tokyo, Japan

[3] Visual Sci Lab Inc, Tokyo, Japan

来源：

MATHEMATICS OF COMPUTATION | 1998年 / 67卷 / 221期

关键词：

multiplicity; Zeuthen's rule; homotopy method; system of algebraic equations;

D O I：

10.1090/S0025-5718-98-00906-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method to calculate numerically the multiplicity of a solution to a system of algebraic equations is presented. The method is an application of Zeuthen's rule which gives the multiplicity of a solution as the multiplicity of a united point of an algebraic correspondence defined naturally by the system. The numerical calculation is applicable to a large scale system of algebraic equations which may have a solution that we cannot calculate the multiplicity by a symbolic computation.

引用

页码：257 / 270

页数：14

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