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一个无约束信赖域梯度路径法的收敛性证明与数值试验
引用本文:刘刚,王秀梅,秦体恒.一个无约束信赖域梯度路径法的收敛性证明与数值试验[J].河南机电高等专科学校学报,1999(2).
作者姓名:刘刚  王秀梅  秦体恒
作者单位:河南机电高等专科学校基础部!新乡,453002,河南机电高等专科学校基础部!新乡,453002,河南机电高等专科学校基础部!新乡,453002
摘    要:给出文献1]中梯度路径法的收敛分析与证明,分析表明方法全局收敛,且在极限点处当海色矩阵正定时,方法满足二次收敛的特性;最后给出算法的数值试验结果.

关 键 词:信赖域方法  无约束优化  收敛性

A proof on Trust Region Problems Arising from Unconstrained Optimization and Data Experiment
Liu Gang,Wang Xiumei, and Qin Tiheng.A proof on Trust Region Problems Arising from Unconstrained Optimization and Data Experiment[J].Journal of Henan Mechanical and Electrical Engineering College,1999(2).
Authors:Liu Gang  Wang Xiumei  and Qin Tiheng
Abstract:The paper presents, the global convergence of the analysis and proof in gredient path, The Analysis illustrates the global convergence and atthe stationary point when Hessian matrix is positive in the optional solution,The Mathods satisfies a second convergence property,eventually gives the dade expenmental results of caculating methods'
Keywords:Trust region method  Uncostrained optimization  convergence
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