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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Estimating optimum overrelaxation parameters
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by L. A. Hageman and R. B. Kellogg PDF
Math. Comp. 22 (1968), 60-68 Request permission
References
  • George E. Forsythe and Wolfgang R. Wasow, Finite-difference methods for partial differential equations, Applied Mathematics Series, John Wiley & Sons, Inc., New York-London, 1960. MR 0130124
  • Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0158502
  • B. A. Carre, "The determination of the optimum accelerating factor for successive overrelaxation," Comput. J., v. 4, 1961, pp. 73–78.
  • H. E. Kulsrud, A practical technique for the determination of the optimum relaxation factor of the successive over-relaxation method, Comm. ACM 4 (1961), 184–187. MR 0143336, DOI 10.1145/355578.366504
  • A. K. Rigler, Estimation of the successive over-relaxation factor, Math. Comp. 19 (1965), 302–307. MR 181122, DOI 10.1090/S0025-5718-1965-0181122-7
  • Eugene L. Wachspress, Iterative solution of elliptic systems, and applications to the neutron diffusion equations of reactor physics, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. MR 0234649
  • G. H. Golub & R. S. Varga, "Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II," Numer. Math., v. 3, 1961, pp. 147–156, 157–168. MR 26 #3207; MR 26 #3208.
  • Donald A. Flanders and George Shortley, Numerical determination of fundamental modes, J. Appl. Phys. 21 (1950), 1326–1332. MR 40075
  • L. A. Hageman, The Chebyshev Polynomial Method of Iteration, WAPD-TM-537, 1967. (Available from the Clearinghouse for Federal Scientific and Technical Information, National Bureau of Standards, U. S. Department of Commerce, Springfield, Virginia.)
  • Richard S. Varga, Numerical methods for solving multi-dimensional multi-group diffusion equations, Proc. Sympos. Appl. Math., Vol. XI, American Mathematical Society, Providence, R.I., 1961, pp. 164–189. MR 0127549
  • G. J. Tee, "Eigenvectors of the successive overrelaxation process, and its combination with Chebyshev semi-iteration," Comput. J., v. 6, 1963, pp. 250–263.
  • J. K. Reid, A method for finding the optimum successive over-relaxation parameter, Comput. J. 9 (1966), 200–204. MR 195273, DOI 10.1093/comjnl/9.2.200
  • L. A. Hageman & R. B. Kellogg. Estimating Optimum Acceleration Parameters for Use in the Successive Overrelaxation and the Chebyshev Polynomial Methods of Iteration, WAPD-TM-592, 1966. (Available from the Clearinghouse for Federal Scientific and Technical Information; see reference 9.)
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Math. Comp. 22 (1968), 60-68
  • MSC: Primary 65.35
  • DOI: https://doi.org/10.1090/S0025-5718-1968-0229371-6
  • MathSciNet review: 0229371