排序方式: 共有4条查询结果,搜索用时 15 毫秒
1
1.
An adaptive trust region method and its convergence 总被引:17,自引:0,他引:17
In this paper, a new trust region subproblem is proposed. The trust radius in the new subproblem adjusts itself adaptively.
As a result, an adaptive trust region method is constructed based on the new trust region subproblem. The local and global
convergence results of the adaptive trust region method are proved. Numerical results indicate that the new method is very
efficient. 相似文献
2.
1. PreliminaryIt is well known that{1] a 8ymPlectic form is invariant along the trajectory of a Hamilto-nian system. Based on this fundamental property, certain techniques have been developed.The purpose of this paper is to extend such an approach to a wider class of dynamic systeIns,namely, genera1ized Hamiltonian systems. Our purpose is to investigate a class of dynaInicsystems, which possess a certain "geometric structure".Deflnition 1.1[1'2]. Let M be a tIlallifo1d. w E fl'(M) is call… 相似文献
3.
研究集值映射方程0 T (z)的求解问题, 其中T是极大单调算子.对于给定的xk及β k>0, 大部分已有的近似邻近点算法取xk+1= 满足 xk +ek +βkT(xk ), ||ek||≤hk||xk- xk ||, 其中{hk}为非负可加数列. 新方法中不取 xk+1 = xk , 而将新的迭代点取为 xk+1 = PΩ [xk-ek], 其中Ω 是T的定义域,PΩ (8729;) 表示Ω上的投影算子. 在supk>0hk < 1这样宽松的条件下给出了收敛性证明. 相似文献
4.
The problem concerned in this paper is the set-valued equation 0 ∈T(z) where T is a maximal monotone operator. For given xk and βk > 0, some existing approximate proximal point algorithms take x~(k+1) = xk such thatwhere {ηk} is a non-negative summable sequence. Instead of xk+1 = xk , the new iterate of the proposing method is given bywhere Ω is the domain of T and PΩ(·) denotes the projection on Ω. The convergence is proved under a significantly relaxed restriction supk>0 ηk<1. 相似文献
1