The MGHSS for Solving Continuous Sylvester Equation AX+XB=C

Yu-Ye Feng, Qing-Biao Wu, Xue-Na Jing and Zhihan Lv

Complexity, 2021, vol. 2021, 1-8

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:6615728

DOI: 10.1155/2021/6615728

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