Wu, Xinyuan; Wu, Hongwei On a class of quadratic convergence iteration formulae without derivatives. (English) Zbl 1023.65042 Appl. Math. Comput. 107, No. 2-3, 77-80 (2000). Summary: A class of iterative formulae without derivatives is proposed. These methods are shown to be quadratic convergence. Some numerical tests are given. Cited in 25 Documents MSC: 65H05 Numerical computation of solutions to single equations Keywords:numerical examples; nonlinear equation; iterative method; quadratic convergence PDF BibTeX XML Cite \textit{X. Wu} and \textit{H. Wu}, Appl. Math. Comput. 107, No. 2--3, 77--80 (2000; Zbl 1023.65042) Full Text: DOI OpenURL References: [1] A.M. Ostrowski, Solution of Equations in Eucilidean and Banach Space, 3rd ed., Academic Press, New York, 1973 [2] P. Jarratt, A review of methods for solving nonlinear algebraic equations in one variable, in: Numerical Methods for Nonlinear Algebraic Equations, Science, Gordon and Breach, London, 1970, pp. 1-26 · Zbl 0252.65039 [3] Steffensen, I.F., Remarks on iteration, Skand aktuarietidskr, 16, 64-72, (1933) · Zbl 0007.02601 [4] J.M. Ortega, W.C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, 1970 · Zbl 0241.65046 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.