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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.


A characterization theorem for the discrete best monotonic approximation problem
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by I. C. Demetriou PDF
Math. Comp. 55 (1990), 191-195 Request permission


A characterization theorem is derived that motivates a procedure for generating discrete best monotonic approximations to n sequential data values, when a strictly convex objective function is used in the calculation. The procedure is highly useful in the discrete nonlinear optimization calculation that produces the best piecewise monotonic approximations to the data.
  • M. P. Cullinan and M. J. D. Powell, Data smoothing by divided differences, Numerical analysis (Dundee, 1981) Lecture Notes in Math., vol. 912, Springer, Berlin-New York, 1982, pp. 26–37. MR 654340
  • I. C. Demetriou, Data smoothing by piecewise monotonic divided differences, Ph. D. Dissertation, University of Cambridge, 1985.
  • I. C. Demetriou and M. J. D. Powell, Least squares smoothing of univariate data to achieve piecewise monotonicity, IMA J. Numer. Anal. 11 (1991), no. 3, 411–432. MR 1118965, DOI 10.1093/imanum/11.3.411
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Math. Comp. 55 (1990), 191-195
  • MSC: Primary 65D15
  • DOI:
  • MathSciNet review: 1023046