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基于简单二次函数模型的非单调信赖域算法 被引量:4
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作者 孙清滢 段立宁 +1 位作者 崔彬 王长钰 《系统科学与数学》 CSCD 北大核心 2009年第4期470-483,共14页
基于简单二次函数模型,结合非单调技术,建立了一个新的求解无约束最优化问题的非单调信赖域算法,并证明了算法的全局收敛性及超线性收敛性.数值例子表明算法是有效性的,适合求解大规模问题.
关键词 无约束最优化 非单调信赖域算法 超线性收敛 数值实验.
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A Non-Monotone Trust Region Method with Non-Monotone Wolfe-Type Line Search Strategy for Unconstrained Optimization
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作者 Changyuan Li Qinghua Zhou Xiao Wu 《Journal of Applied Mathematics and Physics》 2015年第6期707-712,共6页
In this paper, we propose and analyze a non-monotone trust region method with non-monotone line search strategy for unconstrained optimization problems. Unlike the traditional non-monotone trust region method, our alg... In this paper, we propose and analyze a non-monotone trust region method with non-monotone line search strategy for unconstrained optimization problems. Unlike the traditional non-monotone trust region method, our algorithm utilizes non-monotone Wolfe line search to get the next point if a trial step is not adopted. Thus, it can reduce the number of solving sub-problems. Theoretical analysis shows that the new proposed method has a global convergence under some mild conditions. 展开更多
关键词 UNCONSTRAINED Optimization non-monotone trust region method non-monotone Line Search Global Convergence
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