%0 Journal Article
%T 精确线搜索下一种新的混合共轭梯度法<br>A NEW CLASS OF MIXED CONJUGATE GRADIENT METHOD WITH EXACT LINE SEARCH
%A 作者
%A 景书杰
%A 王慧婷
%A 牛海峰
%A 陈耀
%J 数学杂志
%D 2018
%X 本文对于大规模无约束优化问题提出了一种新的混合βκ公式，从而提出了一种具有充分下降性的混合共轭梯度法.利用精确线搜索步长规则，在适当的假设下证明了新算法的全局收敛性.<br>In this paper, a new mixed iterative formula of coefficient βκ is proposed for large-scale unconstrained optimization problems, and a mixed conjugate gradient method with sufficient descent is proposed. By using the exact line search step rules, we prove the global convergence of the new algorithm under the appropriate assumptions
%K 无约束最优化 共轭梯度法 精确线搜索 全局收敛性&lt
%K br&gt
%K unconstrained optimization conjugate gradient exact line search global convergence
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180316&flag=1