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一类差分方程解的收敛速度及其应用
引用本文:王洪明. 一类差分方程解的收敛速度及其应用[J]. 枣庄师专学报, 2006, 23(2): 14-17
作者姓名:王洪明
作者单位:山东经贸职业学院基础部 山东维坊261011
摘    要:给出在φ满足Kantorovich引理的条件下,差分方程tk 1=φ(tk)迭代序列{tk}收敛于不动点t*的四种收敛速度.作为应用,给出文[1]中Rheinbold W定理的一个更为明显的结果.

关 键 词:差分方程  Kantorovich引理  不动点
文章编号:1004-7077(2006)02-0014-04
收稿时间:2005-10-05
修稿时间:2005-10-05

The Convergence Rate of Solution for a Class of Difference Equation and It''''s Application
WANG Hong-ming. The Convergence Rate of Solution for a Class of Difference Equation and It''''s Application[J]. Journal of Zaozhuang Teachers' College, 2006, 23(2): 14-17
Authors:WANG Hong-ming
Affiliation:Elemeneary Department, Shandong Vcational College of Ecnomiy and Buseness, Weifang 261011, China
Abstract:Let satisfy the condition of Kantorovich lemma,four convergence rates of iterative sequence converging to the fixed point of difference equation are given.A clearer result on Rheinbold W therorem in reference[1] is given as an application.
Keywords:difference equation  Kantorovich lemma  fixed point
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