Modified conjugate gradient iterative algorithm for the generalized coupled Sylvester matrix equations and its application in image restoration
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DOI码：10.1007/s40314-025-03204-z
发表刊物：Computational and Applied Mathematics
关键字：Conjugate gradient iterative algorithm; Coupled Sylvester matrix equations; Least Frobenius norm solution
摘要：In this paper, a modified conjugate gradient iterative algorithm is proposed to solve the coupled Sylvester matrix equations. A novel theoretical proof is provided to confirm that the iterative sequence generated by the proposed algorithm converges to the solution of the considered matrix equations. Furthermore, it is proved that the proposed algorithm can generate some orthogonal matrix groups, allowing the solution of the matrix equations to be found within finite iteration steps. Additionally, the unique least Frobenius norm solution of the matrix equations is derived by choosing some special initial values. Finally, some numerical simulations are taken to substantiate the convergence of the proposed algorithm.
合写作者：Yanwei Ding,Xuesong Chen,Jinxiu Zhang
第一作者：Zebin Chen
论文类型：期刊论文
通讯作者：Hui-jie Sun
卷号：44
期号：5
是否译文：否
发表时间：2025-05-22
收录刊物：SCI
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