安徽机电学院学报2001，Vol.16Issue(2)：76-78,3.
一类代数方程的摄动解
The perturbed solutions to a class of algebraic equation
摘要
Abstract
Let f(x) and g(x) be two polynomials in complex number field with their orders being m and n respectively. By using direct expanding method, the approximate solutions of the perturbed algebraic equation such as f(x)＋ ε g(x)=0 for m≥ n and m<n, and three formulas about two terms expansion of its roots are obtained. The m roots can be given according to the single root or pluri－ root of its degenerate equation from the first two. The rest n－ m roots for m<n can be given according to the third, and the relative result of [1] is generalized.关键词
摄动/渐近展开式/近似解分类
数理科学引用本文复制引用
欧阳成..一类代数方程的摄动解[J].安徽机电学院学报,2001,16(2):76-78,3.
