一类用于一般线性椭圆最优控制问题的共轭梯度算法
A Conjugate Gradient Algorithm for General Linear Elliptic Optimal Control Problems
摘要: 本文针对一类一般线性椭圆最优控制问题，应用了一种带有强Wolfe-Powell准则的共轭梯度算法对其进行求解，并从理论上分析了带有强Wolfe-Powell准则的共轭梯度算法的可行性以及全局收敛性。最后，我们做了相应的数值实验去验证算法的有效性。
Abstract: In this paper, we investigate a class of general linear elliptic optimal control problems. The conjugate gradient method with strong Wolfe-Powell criterion is used to solve this research problem. The feasibility and global convergence of conjugate gradient method with strong Wolfe-Powell criterion is theoretically proved. Finally, we do the corresponding numerical experiments to verify the feasibility of algorithm.
文章引用：林炯浩. 一类用于一般线性椭圆最优控制问题的共轭梯度算法[J]. 应用数学进展, 2025, 14(4): 355-365. https://doi.org/10.12677/aam.2025.144168

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