Gradient-based neural networks for solving periodic Sylvester matrix equations

• Published in: Journal of the Franklin Institute Vol. 359; no. 18; pp. 10849 - 10866
• Main Authors: Lv, Lingling, Chen, Jinbo, Zhang, Lei, Zhang, Fengrui
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.12.2022

This paper considers neural network solutions of a category of matrix equation called periodic Sylvester matrix equation (PSME), which appear in the process of periodic system analysis and design. A linear gradient-based neural network (GNN) model aimed at solving the PSME is constructed, whose stat...