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Two modified PRP conjugate gradient methods and their global convergence for unconstrained optimization

机译：两种改进的PRP共轭梯度法及其无约束优化的全局收敛性

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摘要

In this paper, two modified PRP conjugate gradient methods which satisfy sufficient descent condition are proposed for solving unconstrained optimization problems. We develop two sufficient descent directions at every iteration. Under some suitable conditions, theoretical analysis shows that the algorithm is global convergence. Numerical results show that this method is effective in unconstrained minimizing optimization problems.

机译：为了解决无约束优化问题，本文提出了两种满足充分下降条件的改进的PRP共轭梯度方法。我们在每次迭代中都建立了两个足够的下降方向。在一定条件下，理论分析表明该算法是全局收敛的。数值结果表明，该方法在无约束最小化优化问题方面是有效的。

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来源
《Chinese Control and Decision Conference》|2017年|786-790|共5页
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Sun Zhongbo; Cao Xue; Guo Yingying; Ge Yuncheng; Sun Yue;
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Gradient methods; Convergence; Sun; Linear programming; Control engineering; Electronic mail;

机译：梯度法;会聚; Sun;线性编程;控制工程;电子邮件;

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专利

1. Two modified spectral conjugate gradient methods and their global convergence for unconstrained optimization [J] . Sun Zhongbo, Li Hongyang, Wang Jing, International journal of computer mathematics . 2018,第9a12期

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2. Two Modified Three-Term Type Conjugate Gradient Methods and Their Global Convergence for Unconstrained Optimization [J] . Sun Zhongbo, Tian Yantao, Li Hongyang Mathematical Problems in Engineering . 2014,第pta21期

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3. Two Modified Three-Term Type Conjugate Gradient Methods and Their Global Convergence for Unconstrained Optimization [J] . ZhongboSun, YantaoTian, HongyangLi Mathematical Problems in Engineering: Theory, Methods and Applications . 2014,第a期

机译：两个改进的三术语型共轭梯度方法及其全球收敛因未约束优化
4. Two modified PRP conjugate gradient methods and their global convergence for unconstrained optimization [C] . Sun Zhongbo, Cao Xue, Guo Yingying, Chinese Control and Decision Conference . 2017

机译：两个改进的PRP共轭梯度方法及其全球收敛的无约束优化
5. Convergence to steady-state of weighted ENO schemes, norm preserving Runge-Kutta methods and a modified conjugate gradient method. [D] . Gottlieb, Sigal. 1998

机译：加权ENO方案的稳态收敛，范数保留Runge-Kutta方法和改进的共轭梯度方法。
6. A Conjugate Gradient Algorithm with Function Value Information and N-Step Quadratic Convergence for Unconstrained Optimization [O] . Xiangrong Li, Xupei Zhao, Xiabin Duan, -1

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7. Two Modified Three-Term Type Conjugate Gradient Methods and Their Global Convergence for Unconstrained Optimization [O] . Zhongbo Sun, Yantao Tian, Hongyang Li 2014

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Two modified PRP conjugate gradient methods and their global convergence for unconstrained optimization

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