Ball Convergence Theorems for Chebyshev-Halley Method in B-Space  

作　　者：Chandni KUMARI Pradip Kumar PARIDA 

机构地区：[1]Department of Mathematics,Central University of Jharkhand,Ranchi-835205,India

出　　处：《Journal of Mathematical Research with Applications》2023年第6期723-736,共14页数学研究及应用(英文版)

摘　　要：A local convergence analysis of Chebyshev-Halley method having third order of convergence for approximating zero of non-linear operator f(v)=0 by using convex majorant function and their condition in B-space(Banach space),is presented in this article.We give the error estimate to show the efficiency of our study.Besides,we established the relation between majorant function and Kantorovich or Smale-type result as special cases of our general theory.

关 键 词：s Chebyshev-Halley method Majorizing function Majorant condition Local con-vergence Kantorovich-type condition Smale-type condition MR(2020)Subject Classification 65G99 65J15 47J05 

分 类 号：O177.2[理学—数学]