The convergence ball and error analysis of the two-step Secant method

作     者：LIN Rong-fei WU Qing-biao CHEN Min-hong KHAN Yasir LIU Lu 

作者机构：Department of MathematicsTaizhou University Department of MathematicsZhejiang University Department of MathematicsZhejiang Sci-Tech University 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2017年第32卷第4期

页      面：397-406页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(11771393,11371320,11632015) Zhejiang Natural Science Foundation(LZ14A010002,LQ18A010008) Scientific Research Fund of Zhejiang Provincial Education Department(FX2016073) 

主　　题：two-step secant method estimate of radius convergence ball Lipschitz continuous 

摘      要：Under the assumption that the nonlinear operator has Lipschitz continuous divided differences for the first order,we obtain an estimate of the radius of the convergence ball for the two-step secant ***,we also provide an error estimate that matches the convergence order of the two-step secant *** last,we give an application of the proposed theorem.