Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A form of Newton's method with cubic convergence

Author: W. M. Stone
Journal: Quart. Appl. Math. 11 (1953), 118-119
MSC: Primary 65.0X
DOI: https://doi.org/10.1090/qam/53609
MathSciNet review: 53609
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References [Enhancements On Off] (What's this?)

  • [1] J. K. Stewart, Another variation of Newton's method, Am. Math. Monthly, 58, 331-334 (1951). MR 1527864
  • [2] H. J. Hamilton, A type of variation on Newton's method, Am. Math. Monthly, 57, 517-522 (1950). MR 0039367
  • [3] E. Bodewig, On types of convergence and on the behavior of approximations in the neighborhood of a multiple root of an equation, Q. Appl. Math. 7, 325-333 (1949). MR 0031326
  • [4] P. M. Hummel and C. L. Seebeck, A generalization of Taylor's expansion, Am. Math. Monthly, 56, 243-247 (1949)
  • [5] P. M. Hummel and C. L. Seebeck, A new interpolation formula, Am. Math. Monthly 58, 383-389 (1951). MR 0041901

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DOI: https://doi.org/10.1090/qam/53609
Article copyright: © Copyright 1953 American Mathematical Society

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