A Class of Nonlinear Conjugate Gradient Methods with a Global Convergence Property

王祥; 陈金梅

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A Class of Nonlinear Conjugate Gradient Methods with a Global Convergence Property

更新时间：2026-09-14

- A Class of Nonlinear Conjugate Gradient Methods with a Global Convergence Property
- 一类非线性共轭梯度法的全局收敛性
- Issue 5, Pages: 392-395(2006)
- 作者机构：
  
  太原理工大学数学系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2006
- 稿件说明：
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王祥, 陈金梅. A Class of Nonlinear Conjugate Gradient Methods with a Global Convergence Property[J]. 2006, (5): 392-395.
DOI：

王祥, 陈金梅. A Class of Nonlinear Conjugate Gradient Methods with a Global Convergence Property[J]. 2006, (5): 392-395. DOI：

摘要

研究求解无约束最优化问题的共轭梯度法

提出了一种新的共轭梯度类型公式

从而影响了算法产生的搜索方向

进一步影响了算法的效果

得到一类新共轭梯度法

证明了在G rippo-Luc id i线搜索下新共轭梯度法的全局收敛性.

Abstract

A class of nonlinear conjugate gradient methods for new nonlinear conjugate type formula of solving unconstrained optimization problems has been proposed.The authors have proved the global convergence of new conjugate gradient methods with Grippo-Lucidi line search.

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references

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Po lak E,R ib iere G.N ote sur la xonvergence de d irections con jugees[J].R ev F ranca ise in form at R echerche O per-atine lle,3e A nnee,1969,16:35-43.

L i Z F,Chen J,D eng N Y.A new con jugate grad ien tm ethod and its g loba l convergence proprieties[J].System s Sc i-ence and M athem atica l Sc ience,1998(11):53-60.

A l-B aa liM.D escen t P roperty and g loba l convergence of the F letcher R eeves m ethod w ith inexact line search IM A[J].Journa l of N um erica l A na lys is,1985,5(1):121-124.

卞文良,焦宝聪.一类基于G rippo线搜索的共轭梯度法[J].首都师范大学学报,2004,25(2):4-10.B ian W en liang,Jiao B aocong.A class of grad ien t m ethods based on G rippo L inear Search[J].Journa l of C ap ita lN orm a lU n ivers ity(N atura l Sc ience Ed ition),2004,25(2):4-10.

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