文献类型：会议论文

英文题名：Cubic Convergence and Applications of a Variant of Newton -Method for Systems of Nonlinear Equations

作者：Liu Zhongli[1];Zheng Quan[2]

第一作者：刘忠礼

通讯作者：Liu, ZL[1]

机构：[1]Beijing Union Univ, Coll Biochem Engn, Beijing 100023, Peoples R China;[2]North China Univ Technol, Coll Sci, Beijing, Peoples R China

第一机构：北京联合大学生物化学工程学院

通讯机构：[1]corresponding author), Beijing Union Univ, Coll Biochem Engn, Beijing 100023, Peoples R China.|[1141726]北京联合大学生物化学工程学院;[11417]北京联合大学;

会议论文集：International Conference on Mechanical, Industrial, and Manufacturing Engineering

会议日期：JAN 15-16, 2011

会议地点：Melbourne, AUSTRALIA

语种：英文

外文关键词：systems of nonlinear equations; Traub formula; semilocal convergence; convergence ball

摘要：Numerical solutions for nonlinear equations and systems of nonlinear equations have always appealed greatly to people. Newton method is a universally acknowledged classical algorithm. This paper probes into the third-order semilocal convergence of a variant of Newton method or Traub formula for the systems of nonlinear equations and presents the numerical examples for proving the correctness,of the analysis of such convergence and confirming the efficiency and feasibility of the iterative formula. That is, we extend the iterative formula from one dimension to n dimensions and get its convergence ball.