A Modified Wei-Yao-Liu Conjugate Gradient Algorithm for Two Type Minimization Optimization Models

机译：一种修改的魏瑶刘共轭梯度算法，用于两种最小化优化模型

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摘要

This paper presents a modified Wei-Yao-Liu conjugate gradient method, which automatically not only has sufficient descent property but also owns trust region property without carrying out any line search technique. The global convergence property for unconstrained optimization problems is satisfied with weak Wolfe-Powell (WWP) line search. Meanwhile, the present method can be extended to solve nonlinear equations problems. Under some mild condition, line search method and project technique, the global convergence is established. Some preliminary numerical tests are presented. The numerical results show its effectiveness.

机译：本文介绍了一个修改的魏瑶刘共轭梯度方法，它自动不仅具有足够的下降性，而且还拥有信任区域属性而不执行任何线路搜索技术。对无约束优化问题的全局融合性质满足于弱Wolfe-Powell（WWP）线搜索。同时，可以扩展本方法以解决非线性方程问题。在一些温和条件下，线路搜索方法和项目技术，建立了全局收敛。提出了一些初步数值测试。数值结果表明了其有效性。

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来源
《International Conference on Cloud Computing and Security》|2018年|746p|共17页
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作者
Xiaoliang Wang; Wujie Hu; Gonglin Yuan;
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原文格式 PDF
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中图分类 TP393-53;
关键词
Conjugate gradient; Unconstrained optimization; Nonlinear equations; Sufficient descent property; Trust region; Project strategy; Global convergence;

机译：共轭梯度;不受约束的优化;非线性方程;足够的下降财产;信托地区;项目策略;全球融合;

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1. A Conjugate Gradient Algorithm under Yuan-Wei-Lu Line Search Technique for Large-Scale Minimization Optimization Models [J] . Li Xiangrong, Wang Songhua, Jin Zhongzhou, Mathematical Problems in Engineering . 2018,第1期

机译：大规模最小化优化模型的元尾路线搜索技术下的共轭梯度算法
2. A Conjugate Gradient Algorithm under Yuan-Wei-Lu Line Search Technique for Large-Scale Minimization Optimization Models [J] . Li Xiangrong, Wang Songhua, Jin Zhongzhou, Mathematical Problems in Engineering . 2018,第PTa1期

机译：大规模最小化优化模型的元尾路线搜索技术下的共轭梯度算法
3. A Conjugate Gradient Algorithm under Yuan-Wei-Lu Line Search Technique for Large-Scale Minimization Optimization Models [J] . Xiangrong Li, Songhua Wang, Zhongzhou Jin, Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第6期

机译：大规模最小化优化模型的元尾路线搜索技术下的共轭梯度算法
4. A Modified Wei-Yao-Liu Conjugate Gradient Algorithm for Two Type Minimization Optimization Models [C] . Xiaoliang Wang, Wujie Hu, Gonglin Yuan International conference on cloud computing and security . 2018

机译：两种最小化优化模型的改进的Wei-Yao-Liu共轭梯度算法
5. A DISCRETE GRADIENT OPTIMIZATION ALGORITHM FOR THE ON-LINE DETERMINATION OF PARAMETERS OF PROCESS MODELS. [D] . STOFER, CHARLES ELDON. 1970

机译：在线确定过程模型参数的离散梯度优化算法。
6. Two New PRP Conjugate Gradient Algorithms for Minimization Optimization Models [O] . Gonglin Yuan, Xiabin Duan, Wenjie Liu, -1

机译：用于最小化优化模型的两种新的PRP共轭梯度算法
7. Two New PRP Conjugate Gradient Algorithms for Minimization Optimization Models. [O] . Gonglin Yuan, Xiabin Duan, Wenjie Liu, 2015

机译：两种新的pRp共轭梯度算法最小化优化模型。

A Modified Wei-Yao-Liu Conjugate Gradient Algorithm for Two Type Minimization Optimization Models

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