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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


On optimal alternating direction parameters for singular matrices
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by R. B. Kellogg and J. Spanier PDF
Math. Comp. 19 (1965), 448-452 Request permission
  • Garrett Birkhoff, Richard S. Varga, and David Young, Alternating direction implicit methods, Advances in Computers, Vol. 3, Academic Press, New York, 1962, pp. 189–273. MR 0168131
  • Carl de Boor and John R. Rice, Chebyshev approximation by $a\Pi {x-r_{i}\over x+s_{i}}$ and application to ADI iteration, J. Soc. Indust. Appl. Math. 11 (1963), 159–169. MR 161461
  • Jim Douglas Jr., Alternating direction methods for three space variables, Numer. Math. 4 (1962), 41–63. MR 136083, DOI 10.1007/BF01386295
  • Jim Douglas Jr. and Carl M. Pearcy, On convergence of alternating direction procedures in the presence of singular operators, Numer. Math. 5 (1963), 175–184. MR 154436, DOI 10.1007/BF01385888
  • W. H. Guilinger & R. B. Kellogg, “Eigenvalue lower bounds,” submitted to the Bettis Technical Review.
  • D. W. Peaceman and H. H. Rachford Jr., The numerical solution of parabolic and elliptic differential equations, J. Soc. Indust. Appl. Math. 3 (1955), 28–41. MR 71874
  • R. B. Smith & J. Spanier, HOT-1: A Two Dimensional Steady-State Heat Conduction Program for the Philco-2000, WAPD-TM-465, Bettis Atomic Power Laboratory, Pittsburgh, Pa., 1964. J. Spanier & W. H. Guilinger, “Matrix conditioning for alternating direction methods,” Bettis Technical Review, WAPD-BT-29, 1963, pp. 69–79.
  • Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0158502
  • E. L. Wachspress, Optimum alternating-direction-implicit iteration parameters for a model problem, J. Soc. Indust. Appl. Math. 10 (1962), 339–350. MR 150935
  • Eugene L. Wachspress, Extended application of alternating direction implicit iteration model problem theory, J. Soc. Indust. Appl. Math. 11 (1963), 994–1016. MR 169373
  • E. L. Wachspress and G. J. Habetler, An alternating-direction-implicit iteration technique, J. Soc. Indust. Appl. Math. 8 (1960), 403–424. MR 114308
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Math. Comp. 19 (1965), 448-452
  • MSC: Primary 65.66
  • DOI:
  • MathSciNet review: 0184442