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有界变量约束非线性方程组的信赖域内点算法
引用本文:贾春霞,朱德通. 有界变量约束非线性方程组的信赖域内点算法[J]. 上海师范大学学报(自然科学版), 2005, 34(4): 1-7
作者姓名:贾春霞  朱德通
作者单位:上海师范大学数理信息学院,上海,200234;上海师范大学数理信息学院,上海,200234
摘    要:提出一种有界变量约束非线性方程组的信赖域内点算法,在合理的条件下所提供的算法不仅能整体收敛于方程组的解而且保持局部收敛速率.数值计算结果说明算法的有效性.

关 键 词:信赖域  约束优化  内点  非线性方程组
文章编号:1000-5137(2005)04-0001-07
收稿时间:2005-09-01
修稿时间:2005-09-01

A trust region interior point algorithm for solving bound-constrained nonlinear systems
JIA Chun-xia,ZHU De-tong. A trust region interior point algorithm for solving bound-constrained nonlinear systems[J]. Journal of Shanghai Normal University(Natural Sciences), 2005, 34(4): 1-7
Authors:JIA Chun-xia  ZHU De-tong
Affiliation:Mathematics and Sciences College, Shanghai Normal University, Shanghai 200234, China
Abstract:We propose a trust region interior algorithm for solving nonlinear equality systems subject to bound constraints on variables. Under some reasonable conditions, the proposed algorithm is globally convergent and has locally fast convergent rate. Results of numerical experiments are reported to show the effectiveness of the proposed algorithm.
Keywords:trust region method   interior points    nonlinear equation
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