A FASTER WAY TO COUNT THE SOLUTIONS OF INHOMOGENEOUS SYSTEMS OF ALGEBRAIC EQUATIONS, WITH APPLICATIONS TO CYCLIC N-ROOTS

被引：74

作者：

BJORCK, G

FROBERG, R

机构：

[1] Department of Mathematics, Stockholm University, Stockholm, S-113 85

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 1991年 / 12卷 / 03期

关键词：

D O I：

10.1016/S0747-7171(08)80153-8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper deals with the problem of using symbolic algebra to count the solutions of inhomogeneous systems of algebraic equations. A trick is presented whereby the faster algorithms for the homogeneous case can be used in the inhomogeneous case. The method is applied to the cyclic n-roots studied by one of the authors (and sometimes referred to as solutions to Amborg's system or Davenport's problem). © 1991, Academic Press Limited. All rights reserved.

引用

页码：329 / 336

页数：8