The MGHSS for Solving Continuous Sylvester Equation AX+XB=C. (11th February 2021)

• Record Type: Journal Article
• Authors: Feng, Yu-Ye; Wu, Qing-Biao; Jing, Xue-Na
• Other Names: Lv Zhihan Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-02-11
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/6615728
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This paper proposes the modified generalization of the HSS (MGHSS) to solve a large and sparse continuous Sylvester equation, improving the efficiency and robustness. The analysis shows that the MGHSS converges to the unique solution of AX + XB = C unconditionally. We also propose an inexact variant of the MGHSS (IMGHSS) and prove its convergence under certain conditions. Numerical experiments verify the efficiency of the proposed methods.