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

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  • Ovgu Cidar Iyikal

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, 2022. "Numerical Solution of Sylvester Equation Based on Iterative Predictor‐Corrector Method," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:6571126
    DOI: 10.1155/2022/6571126
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    References listed on IDEAS

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    1. Jituan Zhou & Ruirui Wang & Qiang Niu, 2012. "A Preconditioned Iteration Method for Solving Sylvester Equations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, July.
    2. Jituan Zhou & Ruirui Wang & Qiang Niu, 2012. "A Preconditioned Iteration Method for Solving Sylvester Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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