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一种新的改进Newton法(英文) 被引量:1

A NEW VARIANT OF NEWTON'S METHOD
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摘要 本文给出了求解非线性方程的一种新的改进方法.利用Newton法和Heron平均,将新改进方法与其它一些迭代法作比较.数值结果表明该方法具有一定的实用价值. In this article,we present a new modification method to solve non-linear equations. By the composition of Newton's method and Heron mean,we have compared this modified method with some other iterative methods,which shows that this new iterative method is robust and efficient.Numerical results show that the method has practical utility.
作者 苏岐芳
出处 《数学杂志》 CSCD 北大核心 2010年第3期463-466,共4页 Journal of Mathematics
基金 Supported by the Department of Education of Zhejiang Province(20070509) the Research Project of the Higher Education Teaching Reform in the New Century 2008 Zhejiang(yb08072)
关键词 牛顿法 HERON平均 收敛阶 渐近误差常数 Newton's method heron mean order of convergence asymptotic error constant
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参考文献5

  • 1Weerakoon S,Fernando T G I.A variant of Newton's method with accelerated third-order convergence[J].Appl.Math.Lett.,2000,13:87-93.
  • 2Ozban A Y.Some new variants of Newton's method[J].Appl.Math.Lett.,2004,17:667-682.
  • 3Wait R.The numerical solution of algebraic equations[M].New York:John Wiley & Sons,1979.
  • 4Luki(c) T,Ralev(c) N M.Newton's method with accelerated convergence modified by an aggregation operator[A].Proceedings of 3rd Serbian-Hungarian Joint Symposium on Intelligent Systems[C].Subotica,SCG,2005,121-128.
  • 5Frontini M,Sormani E.Some variants of Newton's method with third-order convergence[J].Appl.Math.Comput.,2003,140:419-426.

同被引文献4

  • 1BLACK F, SCHOLES M. The Pricing of Options and Corporate Liabilities [J]. J Political Econ, 1973, 81 (3): 637-654.
  • 2CRtPEY S. Calibration o{ the Local Volatility in a Generalized Black-Scholes Model Using Tikhonov Regularization [J]. SIAM J Math Anal, 2003, 34(5): 1183-1206.
  • 3DUPIRE B. Pricing with a Smile [J]. Risk, 1994, 7: 18-20.
  • 4王晓锋.修正的三阶收敛的牛顿迭代法[J].数学的实践与认识,2010,40(3):216-218. 被引量:11

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