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.
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