Le, D. An efficient derivative-free method for solving nonlinear equations. (English) Zbl 0581.65033 ACM Trans. Math. Softw. 11, 250-262 (1985). The author describes an algorithm for the iterative solution of a single nonlinear equation which is based on a combination of bisection with second and third order methods. The occuring derivatives are estimated via finite difference approximations. A report on numerical experiments is included. Reviewer: G.Merz Cited in 1 ReviewCited in 9 Documents MSC: 65H05 Numerical computation of solutions to single equations Keywords:bisection; third order methods; numerical experiments PDF BibTeX XML Cite \textit{D. Le}, ACM Trans. Math. Softw. 11, 250--262 (1985; Zbl 0581.65033) Full Text: DOI Link Digital Library of Mathematical Functions: Steffensen’s Method ‣ §3.8(iii) Other Methods ‣ §3.8 Nonlinear Equations ‣ Areas ‣ Chapter 3 Numerical Methods