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关于JOR迭代法的收敛性
  • ISSN号：1006-0456
  • 期刊名称：《南昌大学学报：工科版》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学] O241.6[理学—计算数学;理学—数学]
  • 作者机构：[1]南昌大学数学系,江西南昌330031
  • 相关基金：国家自然科学基金资助项目（60970149）;江西省自然科学基金资助项目（2009GZS0021,2007GQS2063）
作者： 唐玉超[1]
关键词： BANACH压缩映射原理, 非扩张映射, JOR迭代法, Banach contractive principle , nonexpansive mapping, JOR iteration
中文摘要：

借助非扩张映射不动点的理论，受到Krasnoselskii—Mann迭代格式的启发，提出了从Jacobi迭代法到JOR迭代法一种简单明了的定义方式，并且得到了JOR迭代法收敛的充分条件，给出了相关数值实例。

英文摘要：

Based on the fixed point theory of nonexpansive mapping and motivated by the definition of Krasnoselskii - Mann iterative sequence, the JOR iterative method is derived from the Jacobi iterative method naturally, and some sufficient conditions is gived for the convergence of JOR iterative method. The numerical experiments are provided to demonstrate the convergence results.

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期刊信息
  • 《南昌大学学报：工科版》
  • 中国科技核心期刊
  • 主管单位:南昌大学
  • 主办单位:南昌大学
  • 主编：谢明勇
  • 地址：南昌市南京东路235号南昌大学期刊社
  • 邮编：330047
  • 邮箱：NCDG@chinajournal.net.cn
  • 电话：0791-88305803
  • 国际标准刊号：ISSN：1006-0456
  • 国内统一刊号：ISSN：36-1194/T
  • 邮发代号:44-38
  • 获奖情况:
  • 曾获首届江西省优秀期刊质量奖,第二届江西省优秀科技期刊评比先进科技期刊奖,第三届江西省优秀期刊版式设计奖
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  • 被引量:4072