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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 computer algorithm for determining the Hausdorff dimension of certain fractals
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by Lucy Garnett PDF
Math. Comp. 51 (1988), 291-300 Request permission


A fractal is a set which has nonintegral Hausdorff dimension. Computation of the dimension directly from the definition would be very time-consuming on a computer. However, the dimension can be computed using Newton’s method if there exists a self-expanding map on the set. This technique is applied to compute the dimension of the Julia set of the quadratic mapping $z \to {z^2} + c$ for small real values of c.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Math. Comp. 51 (1988), 291-300
  • MSC: Primary 58F11; Secondary 30D05
  • DOI:
  • MathSciNet review: 942156