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

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  • Ovgu Cidar Iyikal
  • Qingkai Zhao

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.

Suggested Citation

  • Ovgu Cidar Iyikal & Qingkai Zhao, 2022. "Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector Method," Journal of Mathematics, Hindawi, vol. 2022, pages 1-7, August.
    • Handle: RePEc:hin:jjmath:6571126
    DOI: 10.1155/2022/6571126
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