An improvement for the area of convergence of the accelerated overrelaxation iterative method

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  • M. Madalena Martins Universitaty of Coimbra, Portugal
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References

Avdelas, G., Hadjidimos, A. and Veyios, A - Some theoretical and Computational results, concerning the accelerated overrelation (AOR) method. T.R.No. 8, Department of Mathematics, University of Ioannina, Greece, 1978.

Hadjidimos, Apostolos Accelerated overrelaxation method. Math. Comp. 32 (1978), no. 141, 149-157, MR0483340.

Hadjidimos, A.; Yeyios, A., The principle of extrapolation in connection with the accelerated overrelaxation method. Linear Algebra Appl. 30 (1980), 115-128, MR0568784.

James, K. R., Riha, W., Convergence criteria for successive overrelaxation. SIAM J. Numer. Anal. 12 (1975), 137-143, MR0400672.

Martins, M. Madalena, On an accelerated overrelaxation iterative method for linear systems with strictly diagonally dominant matrix. Math. Comp. 35 (1980), no. 152, 1269-1273, MR0583503.

Martins, M. Madalena, Note on irreducible diagonally dominant matrices and the convergence of the AOR iterative method. Math. Comp. 37 (1981), no. 155, 101-103, MR0616363.

Martins, M. Madalena Generalized diagonal dominance in connection with the accelerated overrelaxation (AOR) method. BIT 22 (1982), no. 1, 73-78, MR0654743.

Varga, Richard S. Matrix iterative analysis. Prentice-Hall, Inc., Englewood Cliffs, N.J. 1962 xiii+322 pp., MR0158502.

Varga, Richard S., On recurring theorems on diagonal dominance. Collection of articles dedicated to Olga Taussky Todd. Linear Algebra and Appl. 13 (1976), no. 1-2, 1-9.

Walter, Wolfgang, Bemerkungen zu Iterationsverfahren bei linearen Gleichungssystemen. (German) Numer. Math. 10 1967 80-85, MR0216740.

Young, David M., Iterative solution of large linear systems. Academic Press, New York-London, 1971. xxiv+570 pp., MR0305568.

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Published

1983-02-01

How to Cite

Martins, M. M. (1983). An improvement for the area of convergence of the accelerated overrelaxation iterative method. Anal. Numér. Théor. Approx., 12(1), 65–76. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1983-vol12-no1-art8

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