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广义块Broyden方法与超定方程组求解 被引量:1

A GENERALIZED BLOCK BROYDEN'S METHOD FOR SOLVING OVERDETERMINED EQUATIONS
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摘要 In this paper, a generalized block Broyden’s method is presented for solvinga collection of overdetermined equations. We have proven that for the p linear overdetermined equations with a m×n coefficient matrix, the method is terminated with the p least squared solutions after 2m/p steps at most, and two numerical examples are given. In this paper, a generalized block Broyden's method is presented for solvinga collection of overdetermined equations. We have proven that for the p linear overdetermined equations with a m×n coefficient matrix, the method is terminated with the p least squared solutions after 2m/p steps at most, and two numerical examples are given.
作者 顾桂定
机构地区 上海大学数学系
出处 《计算数学》 CSCD 北大核心 1997年第4期375-384,共10页 Mathematica Numerica Sinica
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同被引文献6

  • 1J.M.Ortega 朱季纳(译).多元非线性方程组迭代解法[M].科学出版社,1983..
  • 2顾桂定,高等学校计算数学学报,1998年,20卷,130页
  • 3顾桂定,计算数学,1997年,19卷,375页
  • 4Liu D C,Math Programming,1989年,45卷,882页
  • 5朱季纳(译),多元非线性方程组的迭代解法,1983年
  • 6顾桂定,王德人.成组Broyden修正矩阵的紧凑形式与成组记忆修正算法[J].高等学校计算数学学报,1998,20(2):130-140. 被引量:1

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