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闭凸集上Fermat场址问题的信赖域算法
A Trust Region Algorithm for Fermat Location on a Closed Convex Domain
【摘要】 本文提出了一类求闭凸集上Ferm at场址最优解的信赖域算法,该算法既不要求诸旧场址不共线,也不要求迭代近似矩阵列{Bk}有界,同时具有全局收敛性.
【Abstract】 A trust region algorithm for Fermat location on a closed convex domain in R n is provided, neither the assumption that the points a 1,…,a m are not collinear nor the condition that the second approximate matrices {B k} are bounded is necessary. The global convergence of the algorithm is proved.
【关键词】 Fermat场址;
闭凸集;
凸函数;
信赖域算法;
全局收敛性;
【Key words】 Fermat location; Closed convex domain; Convex function; Trust region algorithm; Global convergence;
【Key words】 Fermat location; Closed convex domain; Convex function; Trust region algorithm; Global convergence;
【基金】 安徽省高校中青年学科带头人培养基金
- 【文献出处】 应用数学 ,MATHEMATICA APPLICATA , 编辑部邮箱 ,1999年04期
- 【分类号】O174.13
- 【被引频次】2
- 【下载频次】31