摘要
给出求解非线性无约束优化问题的新的DY-型共轭梯度公式和新算法,证明新公式和新算法在推广W olfe规则下分别具有下降性和全局收敛性.文献[14]提出的杂交共轭梯度公式中βk的取值是新的DY-型共轭梯度公式的特例.
In this paper,a new kind of DY-conjugate gradient formula and the corresponding method for solving nonlinear unconstrained optimization is proposed. The new conjugate gradient method with general Wolfe line search was proved to have the global convergence. By disscusing the hybrid conjugate gradient formula βk given by [14] ,we conclude that the above βk is only a specical cases of DY-conjugate gradient formula.
出处
《广西科学》
CAS
2006年第4期276-278,281,共4页
Guangxi Sciences
基金
玉林师范学院科研项目(2006YJYB30)资助
关键词
无约束优化
共轭梯度法
线搜索
下降性
全局收敛性
unconstrained optimization, conjugate gradient method, line search, descent property, global convergence
