IMPROVING PRECONDITIONED GAUSS-SEIDEL ITERATIVE METHOD FOR L-MATRICES

  • Abdulrahman Ndanusa
  • B. E. David
  • B. B. Ayantola
  • A. W. Abubakar
Keywords: Gauss-Seidel method, L--matrix, iteration matrix, convergence, spectral radius

Abstract

The Gauss-Seidel is a well-known iterative method for solving the linear system Ax = b.  Convergence of this method is guaranteed for linear systems whose coefficient matrix  is strictly or irreducibly diagonally dominant, Hermitian positive definite and invertible H -matrix. In this current work, a preconditioned version of the Gauss-Seidel method is used to accelerate the convergence of this iterative method towards the solution of linear system  under mild conditions imposed on A . Convergence theorems on preconditioned Gauss-Seidel iterative method are advanced and proved. The superiority of Preconditioned Gauss-Seidel method is demonstrated by solving some numerical examples.

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Published
2020-04-14
How to Cite
NdanusaA., DavidB. E., AyantolaB. B., & AbubakarA. W. (2020). IMPROVING PRECONDITIONED GAUSS-SEIDEL ITERATIVE METHOD FOR L-MATRICES. FUDMA JOURNAL OF SCIENCES, 4(1), 453 - 459. Retrieved from https://fjs.fudutsinma.edu.ng/index.php/fjs/article/view/67