Global Convergence of a Modified LS Method

Liu JinKui; Du Xianglin

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Global Convergence of a Modified LS Method

机译：修正的LS方法的全局收敛性

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摘要

The LS method is one of the effective conjugate gradient methods in solving the unconstrained optimization problems. The paper presents a modified LS method on the basis of the famous LS method and proves the strong global convergence for the uniformly convex functions and the global convergence for general functions under the strong Wolfe line search. The numerical experiments show that the modified LS method is very effective in practice.

机译：LS方法是解决无约束优化问题的有效共轭梯度方法之一。本文在著名的LS方法的基础上提出了一种改进的LS方法，并证明了在强Wolfe线搜索下均匀凸函数的强全局收敛性和一般函数的全局收敛性。数值实验表明，改进的LS方法在实际中是非常有效的。

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来源
《Mathematical Problems in Engineering》 |2012年第4期|p.910303.1-910303.9|共9页
作者
Liu JinKui; Du Xianglin;
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作者单位

School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404000, China;

School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404000, China;

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2. Global Convergence of a Modified LS Method [J] . LiuJinKui, DuXianglin Mathematical Problems in Engineering: Theory, Methods and Applications . 2012,第2期

机译：修正的LS方法的全局收敛性
3. 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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4. Global convergence of a modified LS nonlinear conjugate gradient method [C] . Jmkui Liu, Yummg Feng International Conference on Advanced in Control Engineering and Information Science . 2013

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5. Convergence to steady-state of weighted ENO schemes, norm preserving Runge-Kutta methods and a modified conjugate gradient method. [D] . Gottlieb, Sigal. 1998

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6. Converging Small Ubiquitin-like Modifier (SUMO) and Ubiquitin Signaling: Improved Methodology Identifies Co-modified Target Proteins [O] . Sabine A. G. Cuijpers, Edwin Willemstein, Alfred C. O. Vertegaal 2017

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7. Global convergence of a modified LS nonlinear conjugate gradient method [O] . Liu Jinkui, Feng Yuming 2011

机译：修正的LS非线性共轭梯度法的全局收敛性

Global Convergence of a Modified LS Method

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