A New Class of Nonlinear Conjugate Gradient Method for Solving Unconstrained Minimization Problems

机译：求解无约束最小化问题的一类新型非线性共轭梯度法

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摘要

Formulas of new “nonlinear conjugate gradient (CG)”, satisfying “the sufficient descent condition”, are proposed to solve problems of unconstrained optimization. Wolfe line search was employed to establish the global convergence of the new algorithm proposed in this study. The implementation of a numerical comparison against the well-known method of FR and its variant denotes practical insights into the effectiveness of proposed algorithms.

机译：提出了满足“充分下降条件”的新的“非线性共轭梯度（CG）”公式，以解决无约束优化问题。利用Wolfe线搜索来建立本研究中提出的新算法的全局收敛性。与著名的FR方法及其变体进行数值比较的实现表明对所提出算法的有效性有实际见解。

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来源
《International Conference on Computing and Information Science and Technology and Their Applications》|2019年|1-4|共4页
会议地点 Kirkuk(IQ)
作者
Basim Hassan; Hawraz Jabbar; Abbas Al-Bayati;
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作者单位

Mosul University Mosul Iraq;

Kirkuk University Kirkuk Iraq;

Telafer University Mosul Iraq;

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原文格式 PDF
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关键词
Convergence; Gradient methods; Noise measurement; Search problems; Linear programming;

机译：收敛;梯度法噪声测量；搜索问题；线性规划;

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专利

1. Multi-step nonlinear conjugate gradient methods for unconstrained minimization [J] . Ford JA, Narushima Y, Yabe H Computational optimization and applications . 2008,第2期

机译：无约束最小化的多步非线性共轭梯度法
2. Multi-step nonlinear conjugate gradient methods for unconstrained minimization [J] . John A. Ford, Yasushi Narushima, Hiroshi Yabe Computational Optimization and Applications . 2008,第2期

机译：无约束最小化的多步非线性共轭梯度法
3. Computational experience with improved conjugate gradient methods for unconstrained minimization [J] . Luk?an Ladislav Kybernetika . 1992,第4期

机译：无约束最小化的改进共轭梯度法的计算经验
4. A New Class of Nonlinear Conjugate Gradient Method for Solving Unconstrained Minimization Problems [C] . Basim Hassan, Hawraz Jabbar, Abbas Al-Bayati International Conference on Computing and Information Science and Technology and Their Applications . 2019

机译：一种新的非线性共轭梯度方法，用于解决无约束最小化问题
5. Conjugate gradient-type product methods for solving nonsymmetric linear systems [D] . Szeto, Theodore L. Doug 1994

机译：求解非对称线性系统的共轭梯度型乘积方法
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 Robust Spectral Three-Term Conjugate Gradient Algorithm for Solving Unconstrained Minimization Problems [O] . Abbas Al-Bayati, Sabreen Abbas 2020

机译：一种鲁棒的三术三术共轭梯度算法，用于解决无约束最小化问题
8. Detailed Survey of Numerical Methods for Unconstrained Minimization. Pt. 1. Conjugate Direction and Gradient Methods [R] . Mika, K., Chaves, T. 1980

机译：无约束最小化数值方法的详细研究。铂。 1.共轭方向和梯度方法

A New Class of Nonlinear Conjugate Gradient Method for Solving Unconstrained Minimization Problems

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