Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector Method

Ovgu Cidar Iyikal and Qingkai Zhao

Journal of Mathematics, 2022, vol. 2022, 1-7

Abstract: The inspiration of the study concerns an iterative predictor-corrector method with order of convergence p=45 for computing the inverse of the coefficient matrix Λ=In⊗A+BT⊗Im, which is obtained by the Sylvester equation AX+XB=C. The numerical solutions of three examples by predictor-corrector algorithm are given. The final numerical results also support the applicability, fast convergency, and high accuracy of the method for finding matrix inverses.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6571126

DOI: 10.1155/2022/6571126

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