A Class New Hybrid Conjugate Gradient Method for Unconstrained Optimization

Yunlong Lu; Wenyu Li; Chunmin Zhang; Yueting Yang

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A Class New Hybrid Conjugate Gradient Method for Unconstrained Optimization

机译：无约束优化的一类新的混合共轭梯度法

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摘要

In this paper, A class new parameter conjugate gradient method and a new hybrid conjugate gradient method are proposed. The global convergence of the algorithms are proved under the Wolfe line search without the descent condition. Numerical experiments show that the hybrid conjugate gradient algorithm is recommendable.

机译：本文提出了一类新的参数共轭梯度法和一种新的混合共轭梯度法。在没有下降条件的沃尔夫线搜索条件下证明了算法的全局收敛性。数值实验表明，混合共轭梯度算法是可取的。

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来源
《Journal of information and computational science》 |2015年第5期|1941-1949|共9页
作者
Yunlong Lu; Wenyu Li; Chunmin Zhang; Yueting Yang;
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作者单位

School of Mathematics and Statistics, Beihua University, Jilin 132013, China;

School of Mathematics and Statistics, Beihua University, Jilin 132013, China;

School of Mathematics and Statistics, Beihua University, Jilin 132013, China;

School of Mathematics and Statistics, Beihua University, Jilin 132013, China;

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原文格式 PDF
正文语种 eng
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关键词
Unconstrained Optimization; Conjugate Gradient Algorithm; Global Convergence;

机译：无约束优化共轭梯度算法全球融合;

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1. Performance Analysis of New Spectral and Hybrid Conjugate Gradient Methods for Solving Unconstrained Optimization Problems [J] . Maulana Malik, Mustafa Mamat, Siti Sabariah Abas, IAENG Internaitonal journal of computer science . 2021,第1Pta1期

机译：求解无约束优化问题的新型光谱和混合共轭梯度方法的性能分析
2. Hybrid conjugate gradient methods for unconstrained optimization [J] . Jiangtao Mo, Nengzhu Gu, Zengxin Wei Optimization methods & software . 2007,第2期

机译：混合共轭梯度法无约束优化
3. A family of hybrid conjugate gradient methods for unconstrained optimization [J] . Dai YH. Mathematics of computation . 2003,第243期

机译：无约束优化的混合共轭梯度方法系列
4. Two Classes of Conjugate Gradient Methods for Large-Scale Unconstrained Optimization [C] . Cao Ming-yuan, Yang Yue-ting Fourth International Joint Conference on Computational Sciences and Optimization . 2011

机译：大规模无约束优化的两类共轭梯度方法
5. Hybrid Runge-Kutta and quasi-Newton methods for unconstrained nonlinear optimization [D] . Mohr, Darin Griffin 2011

机译：Hybrid Runge-Kutta和拟牛顿无规约非线性优化方法
6. A conjugate gradient algorithm for large-scale unconstrained optimization problems and nonlinear equations [O] . Gonglin Yuan, Wujie Hu -1

机译：求解大规模无约束优化问题和非线性方程的共轭梯度算法
7. A New Family of Hybrid Conjugate Gradient Methods for Unconstrained Optimization [O] . Olawale Joshua Adeleke, Absalom El-Shamir Ezugwu, Idowu Ademola Osinuga 2020

机译：针对无约束优化的新族混合共轭梯度方法
8. Unconstrained Conjugate Gradient Optimization Methods and TheirInterrelationships [R] . Hu, Y. F., Storey, M. 1990

机译：无约束共轭梯度优化方法及其相互关系

A Class New Hybrid Conjugate Gradient Method for Unconstrained Optimization

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