摘要
设方程f(x)=0有λ重根a i,λ为任意正实数,当0<λ<1时,函数f(x)在a i处不可导,作者给出了求这一类弱条件方程的λ重根的广义Newton迭代法,并证明了这种方法的收敛阶为4.
Assume equation f( x)=0 had λmultiple roots ai , λcould be any positive real number . When 0<λ<1, f(x) was not derivable where x=ai.A generalized Newton iterative method for λroots of specified kind of weak condition equation was presented , and the convergent order of the method was proved to be 4 .
出处
《仲恺农业工程学院学报》
CAS
2013年第4期43-46,共4页
Journal of Zhongkai University of Agriculture and Engineering
基金
广东省教育科研十二五规划(2011TJK468)资助项目
关键词
NEWTON迭代法
重根
收敛阶
Newton iterative method
multiple root
convergent order
