A conjugate gradient method for distributed optimal control problems with nonhomogeneous Helmholtz equation
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DOI码：10.1016/j.amc.2021.126019
发表刊物：Applied Mathematics and Computation
关键字：Distributed optimal control, Helmholtz equation, Conjugate gradient method
摘要：A conjugate gradient algorithm with strong Wolfe-Powell line search for dis-tributed optimal control problem is proposed. The optimal system has been discussed in [1]. The proposed algorithm is employed to solve the problem in infinite dimensional function space. With low complexity, it is suitable for large-scale problem. The suffcient descent condition of conjugate gradient and the existence of iterative step is proved. The algorithm also has global convergence property and linear convergence rate. At last, numerical experiments are pre-sented which illustrate the efficiency and the convergence rate of the proposed algorithm.
第一作者：Zemian Zhang
论文类型：期刊论文
通讯作者：Xuesong Chen
卷号：402:
页面范围：126019
是否译文：否
发表时间：2021-08-01
收录刊物：SCI
发布期刊链接：https://doi.org/10.1016/j.amc.2021.126019
附件：