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作者:

Saheya, B. (Saheya, B..) | Chen, Guo-qing (Chen, Guo-qing.) | Sui, Yun-kang (Sui, Yun-kang.) | Wu, Cai-ying (Wu, Cai-ying.)

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摘要:

This paper presents an iterative scheme for solving nonline ar equations. We establish a new rational approximation model with linear numerator and denominator which has generalizes the local linear model. We then employ the new approximation for nonlinear equations and propose an improved Newton's method to solve it. The new method revises the Jacobian matrix by a rank one matrix each iteration and obtains the quadratic convergence property. The numerical performance and comparison show that the proposed method is efficient.

关键词:

Rational approximate function Local convergence Improved Newton's method

作者机构:

  • [ 1 ] [Saheya, B.]Inner Mongolia Univ, Coll Math Sci, Hohhot 010021, Peoples R China
  • [ 2 ] [Chen, Guo-qing]Inner Mongolia Univ, Coll Math Sci, Hohhot 010021, Peoples R China
  • [ 3 ] [Wu, Cai-ying]Inner Mongolia Univ, Coll Math Sci, Hohhot 010021, Peoples R China
  • [ 4 ] [Saheya, B.]Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
  • [ 5 ] [Sui, Yun-kang]Beijing Univ Technol, Coll Mech Engn & Appl Elect Technol, Beijing 100124, Peoples R China

通讯作者信息:

  • [Sui, Yun-kang]Beijing Univ Technol, Coll Mech Engn & Appl Elect Technol, Beijing 100124, Peoples R China

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SPRINGERPLUS

ISSN: 2193-1801

年份: 2016

卷: 5

ESI学科: Multidisciplinary;

ESI高被引阀值:301

中科院分区:4

被引次数:

WoS核心集被引频次: 14

SCOPUS被引频次:

ESI高被引论文在榜: 0 展开所有

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