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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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A note on Chambers’ method
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by J. A. Blackburn and Y. Beaudoin PDF
Math. Comp. 28 (1974), 573-574 Request permission


A correction is given for one of Chambers’ second-order iteration formulae. It is shown that composition of the secant method with itself exhibits a convergence exponent of 2.414, whereas composition of the iteration function with itself yields an exponent of 2.831.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Math. Comp. 28 (1974), 573-574
  • MSC: Primary 65H05
  • DOI:
  • MathSciNet review: 0341850