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On a Newton-Moser type method

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Abstract

We prove that a variant of Moser's iterative method for solving nonlinear equations is quadratically convergent and give error bounds. We estimate the amount of arithmetic for the method and compare it to Newton's method. Finally we use the method to solve a problem with small divisors.

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Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, California, USA

    Ole H. Hald

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  1. Ole H. Hald
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Hald, O.H. On a Newton-Moser type method. Numer. Math. 23, 411–426 (1975). https://doi.org/10.1007/BF01437039

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  • DOI: https://doi.org/10.1007/BF01437039

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