DOI number:10.1016/j.amc.2021.126019

Journal:Applied Mathematics and Computation

Key Words:Distributed optimal control, Helmholtz equation, Conjugate gradient method

Abstract: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.

First Author:Zemian Zhang

Indexed by:Journal paper

Correspondence Author:Xuesong Chen

Volume:402:

Page Number:126019

Translation or Not:no

Date of Publication:2021-08-01

Included Journals:SCI

Links to published journals:https://doi.org/10.1016/j.amc.2021.126019