References
Broyden, C. G.: Some generalizations of the theory of successive over-relaxation. Num. Math.6, 269–284 (1964).
—— Some aspects of consistent ordering. Num. Math.12, 47–56 (1968).
Forsythe, G. E., and W. R. Wasow: Finite-difference methods for partial differential equations. New York: John Wiley & Sons 1960.
Fox, L. (Ed): Numerical solution of ordinary and partial differential equations. Oxford: Pergamon Press 1962.
Kjellberg, G.: On the successive over-relaxation method for cyclic operators. Num. Math.3, 87–91 (1961).
Nichols, N. K.: Numerical solution of elliptic differential equations. D. Phil. thesis, Oxford 1969.
Varga, R. S.:p-cyclic matrices: a generalization of the Young-Frankel successive over-relaxation scheme. Pacific J. Math.9, 617–628 (1959)
—— Matrix iterative analysis. New York: Prentice Hall 1962.
Verner, J. H., and M. J. M. Bernal: On generalizations of the theory of consistent orderings for successive over-relaxation methods. Num. Math.12, 215–222 (1968).
Young, D.: Iterative methods for solving partial differential equations of elliptic type. Trans. Amer. Math. Soc.76, 92–111 (1954).
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Nichols, N.K., Fox, L. Generalized consistent ordering and the optimum successive over-relaxation factor. Numer. Math. 13, 425–433 (1969). https://doi.org/10.1007/BF02163270
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DOI: https://doi.org/10.1007/BF02163270