摘要
是同时求解多项式全部互异实根中迄今最有效的算法之一.[4]中指出,W-法实际上等价于N维空间中函数: F:RN→RN,F（x）=[F1（x）,…,FN（x）]T的Newton法(其中,Fj=Sj（x）+（-1）j-1aj,Sj系j次初等对称函数,j=1,…,N),[4]是经修改函数Fj（x）定义为f关于x1,…,xj的差商Fj（x）=f[x1,…,xj]
Letbe the polynomial with real coefficients An iterative algorithm for finding all quadratic factors of multiplicity μ≥1 of polynomial (1) simultaneously is given. Themethod is shown to possess quadratic convergence not only toj = 1,..., i - 1but also to the polynomial f(x) which involves quadratic factors of multiplicity μ≥2 in some cases. Finally, some numerical results are reported.
出处
《计算数学》
CSCD
北大核心
1989年第4期344-358,共15页
Mathematica Numerica Sinica
