On an accelerated overrelaxation iterative method for linear systems with strictly diagonally dominant matrix
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- by M. Madalena Martins PDF
- Math. Comp. 35 (1980), 1269-1273 Request permission
Abstract:
We consider a linear system $Ax = b$ of n simultaneous equations, where A is a strictly diagonally dominant matrix. We get bounds for the spectral radius of the matrix ${L_{r,\omega }}$, which is accociated with the Accelerated Overrelaxation iterative method (AOR). Sufficient conditions for the convergence of that method will be given, which improve the results of Theorem 3, Section 4 of [2], applied to this type of matrices.References
- Apostolos Hadjidimos, Accelerated overrelaxation method, Math. Comp. 32 (1978), no. 141, 149–157. MR 483340, DOI 10.1090/S0025-5718-1978-0483340-6 A. HADJIDIMOS & A. YEYIOS, The Principle of Extrapolation in Connection with the Accelerated Overrelaxation (AOR) Method, T. R. No. 16, Department of Mathematics, University of Ioannina, Ioannina, Greece, 1978. G. AVDELAS, A. HADJIDIMOS & A. YEYIOS, Some Theoretical and Computational Results Concerning the Accelerated Overrelaxation (AOR) Method, T. R. No. 8, Department of Mathematics, University of Ioannina, Ioannina, Greece, 1978.
- Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0158502
- David M. Young, Iterative solution of large linear systems, Academic Press, New York-London, 1971. MR 0305568
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Math. Comp. 35 (1980), 1269-1273
- MSC: Primary 65F10
- DOI: https://doi.org/10.1090/S0025-5718-1980-0583503-4
- MathSciNet review: 583503