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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.


An acceleration method for the power series of entire functions of order $1$
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by B. Gabutti and J. N. Lyness PDF
Math. Comp. 39 (1982), 587-597 Request permission


When $f(z)$ is given by a known power series expansion, it is possible to construct the power series expansion for $f(z;p) = {e^{ - pz}}f(z)$. We define ${p_{{\text {opt}}}}$ to be the value of p for which the expansion for $f(z;p)$ converges most rapidly. When $f(z)$ is an entire function of order 1, we show that ${p_{{\text {opt}}}}$ is uniquely defined and may be characterized in terms of the set of singularities ${z_i} = 1/{\sigma _i}$ of an associated function $h(z)$. Specifically, it is the center of the smallest circle in the complex plane which contains all points ${\sigma _i}$.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 39 (1982), 587-597
  • MSC: Primary 65B10; Secondary 30B10
  • DOI:
  • MathSciNet review: 669651