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Mathematics of Computation

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A note on Chambers’ method

Authors: J. A. Blackburn and Y. Beaudoin
Journal: Math. Comp. 28 (1974), 573-574
MSC: Primary 65H05
MathSciNet review: 0341850
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Abstract: 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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Keywords: Numerical analysis, approximation to the root of an equation
Article copyright: © Copyright 1974 American Mathematical Society