Bibliography for Successive Over Relaxation

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  1. A note on an SOR-like method for augmented systems
    Li, C.; Li, Z.; Evans, D. J.; Zhang, T.
    IMA Journal of Numerical Analysis, 2003, vol. 23, no. 4, pp. 581-592, Ingenta.
  2. On the Optimal Relaxation Parameters to the Improved SOR Method with Orderings
    Muroya, Y.; Ishiwata, E.
    Tokyo Journal of Mathematics, 2002, vol. 25, no. 1, pp. 49-62, Ingenta.
  3. A new class of modified line-SOR algorithms
    Woznicki, Z.I.; Jedrzejec, H.A.
    Journal of Computational and Applied Mathematics, v 131, n 1-2, Jun 1, 2001, p 89-142, Compendex.
  4. Successive overrelaxation (SOR) and related methods
    Hadjidimos, A.
    Journal of Computational and Applied Mathematics, v 123, n 1-2, Nov, 2000, p 177-199, Compendex.
  5. A practical choice of parameters in improved SOR-Newton method with orderings.
    Ishiwata, E.
    Journal of Computational and Applied Mathematics, 1999, vol. 102, no. 2, pp. 315, Ingenta.
  6. SOR as a preconditioner II
    DeLong, M.A.; Ortega, J.M.
    Applied Numerical Mathematics, v 26, n 4, Apr, 1998, p 465-481, Compendex.
  7. On SOR Waveform Relaxation Methods  
    Jan Janssen; Stefan Vandewalle
    SIAM Journal on Numerical Analysis, Vol. 34, No. 6. (Dec., 1997), pp. 2456-2481, Jstor.
  8. Implementation of the multicolored SOR method on a vector supercomputer
    Fujino, Seiji; Himeno, Ryutaro; Kojima, Akira; Terada, Kazuo
    IEICE Transactions on Information and Systems, v E80-D, n 4, Apr, 1997, p 518-523, Compendex.
  9. New simple criteria for the Jacobi, Gauss-Seidel, and SOR iterations
    Huang, T.-Z.
    Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, v 76, n 1, 1996, p 57, Compendex.
  10. SOR as a preconditioner
    DeLong, M.A.; Ortega, J.M.
    Applied Numerical Mathematics, v 18, n 4, Oct, 1995, p 431, Compendex.
  11. Sor-Secant Methods  
    Jose Mario Martinez
    SIAM Journal on Numerical Analysis, Vol. 31, No. 1. (Feb., 1994), pp. 217-226, Jstor.
  12. The Sigma-Sor Algorithm and the Optimal Strategy for the Utilization of the Sor Iterative Method  
    Zbigniew I. Woznicki
    Mathematics of Computation, Vol. 62, No. 206. (Apr., 1994), pp. 619-644, Jstor.  
  13. Improving the SOR method
    Li, C.-J.; Evans, D.J.
    International Journal of Computer Mathematics, v 54, n 3-4, 1994, p 207, Compendex.
  14. A successive over-relaxation method for quadratic programming problems with interval constraints.
    Shimazu, Yoshikazu; Fukushima, Masao; Ibaraki, Toshihide
    J. Oper. Res. Soc. Japan 36 (1993), no. 2, 73--89, MathSciNet.  
  15. Is the Optimal Omega Best for the SOR Iteration Method?
    Eiermann, M.; Varga, R. S.
    Linear algebra and its applications, 1993, vol. 182, pp. 257, Ingenta.
  16. Convergence Analysis Without Regularity Assumptions for Multigrid Algorithms Based on SOR Smoothing  
    Junping Wang
    SIAM Journal on Numerical Analysis, Vol. 29, No. 4. (Aug., 1992), pp. 987-1001, Jstor.
  17. Diagonalizing the Adaptive SOR iteration Method.
    Dancis, Jerome
    SIAM journal on matrix analysis and applications, 1991, vol. 12, no. 4, pp. 661, Ingenta.
  18. Block colouring schemes for the SOR method on local memory parallel computers.   
    Block, U.; Frommer, A.; Mayer, G.   
    Parallel Comput. 14 (1990), no. 1, 61--75, MathSciNet.  
  19. Determination of the D^1/2 - Norm of the SOR Iterative Matrix for the Unsymmetric Case  
    D. J. Evans, C. Li
    Mathematics of Computation, Vol. 53, No. 187. (Jul., 1989), pp. 203-218, Jstor.  
  20. A Two-Level Four-Color SOR Method  
    C.-C. Jay Kuo; Bernard C. Levy
    SIAM Journal on Numerical Analysis, Vol. 26, No. 1. (Feb., 1989), pp. 129-151, Jstor.  
  21. Analysis of the SOR Iteration for the 9-Point Laplacian  
    Loyce M. Adams; Randall J. Leveque; David M. Young
    SIAM Journal on Numerical Analysis, Vol. 25, No. 5. (Oct., 1988), pp. 1156-1180, Jstor.  
  22. Extrapolated Gauss-Seidel I and SOR methods for least-squares problems.   
    Evans, D. J.; Li, C.   
    Numer. Math. 53 (1988), no. 4, 485--498, MathSciNet.  
  23. A note on two block-SOR methods for sparse least squares problems.  
    Freund, R.  
    Linear Algebra Appl. 88/89 (1987), 211--221, MathSciNet.  
  24. Nonlinear successive over-relaxation.  
    Brewster, M. E.; Kannan, R.  
    Numer. Math. 44 (1984), no. 2, 309--315, MathSciNet.  
  25. On the convergence of the symmetric SOR method for matrices with red-black ordering.  
    Alefeld, G.  
    Numer. Math. 39 (1982), no. 1, 113--117, MathSciNet.  
  26. On a relaxed SOR-method applied to nonsymmetric linear systems.  
    Niethammer, W.; Schade, J.  
    J. Comput. Appl. Math. 1 (1975), no. 3, 133--136, MathSciNet.  
  27. SOR-Methods for the Eigenvalue Problem with Large Sparse Matrices  
    Axel Ruhe
    Mathematics of Computation, Vol. 28, No. 127. (Jul., 1974), pp. 695-710, Jstor.  
  28. Monotone Convergence of the Sor-Newton Iterative Technique  
    Charles W. Schelin
    SIAM Journal on Numerical Analysis, Vol. 10, No. 5. (Oct., 1973), pp. 933-938, Jstor.  
  29. Coupled Harmonic Equations, SOR, and Chebyshev Acceleration
    L. W. Ehrlich
    Mathematics of Computation, Vol. 26, No. 118. (Apr., 1972), pp. 335-343, Jstor.  
  30. On the Convergence of SOR Iterations for Finite Element Approximations to Elliptic Boundary Value Problems  
    George J. Fix; Kate Larsen  
    SIAM Journal on Numerical Analysis, Vol. 8, No. 3. (Sep., 1971), pp. 536-547, Jstor.  
  31. Remarks on the Iterative Solution of the Neumann Problem on a Rectangle by Successive Line Over-Relaxation (in Technical Notes and Short Papers)  
    Fred W. Dorr  
    Mathematics of Computation, Vol. 23, No. 105. (Jan., 1969), pp. 177-179, Jstor.  
  32. On generalizations of the theory of consistent orderings for successive over-relaxation methods.  
    Verner, J. H.; Bernal, M. J. M.  
    Numer. Math. 12 1968 215--222, MathSciNet.  
  33. A method for finding the optimum successive over-relaxation parameter.  
    Reid, J. K.  
    Comput. J. 9 1966 200--204, MathSciNet.  
  34. Estimation of the Successive Over-Relaxation Factor (in Technical Notes and Short Papers)  
    A. K. Rigler
    Mathematics of Computation, Vol. 19, No. 90. (Apr., 1965), pp. 302-307, Jstor.  
  35. Estimation of the successive over-relaxation factor.  
    Rigler, A. K.  
    Math. Comp. 19 1965 302--307, MathSciNet.  
  36. On Convergence Criteria for the Method of Successive Over-Relaxation (in Technical Notes and Short Papers)  
    C. G. Broyden  
    Mathematics of Computation, Vol. 18, No. 85. (Jan., 1964), pp. 136-141, Jstor.  
  37. On the Round-Off Error in the Method of Successive Over-Relaxation  
    M. Stuart Lynn
    Mathematics of Computation, Vol. 18, No. 85. (Jan., 1964), pp. 36-49, Jstor.  
  38. A practical technique for the determination of the optimum relaxation factor of the successive over-relaxation method.  
    Kulsrud, H. E.  
    Comm. ACM 4 1961 184--187, MathSciNet.  
  39. On Over and Under Relaxation in the Theory of the Cyclic Single Step Iteration
    A. Ostrowski
    Mathematical Tables and Other Aids to Computation, Vol. 7, No. 43. (Jul., 1953), pp. 152-159, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004