Kyurkchiev, Nikolay; Iliev, Anton A note on the “constructing” of nonstationary methods for solving nonlinear equations with raised speed of convergence. (English) Zbl 1194.65074 Serdica J. Comput. 3, No. 1, 47-74 (2009). Essentially authors’ abstract: We give a methodological survey of “contemporary methods” for solving the single nonlinear equation \(f(x) = 0\). The reason for this review is that many authors in present days rediscovered such classical methods. Here we develop one methodological scheme for constructing nonstationary methods with a preliminary chosen speed of convergence. Reviewer: B. Döring (Düsseldorf) Cited in 4 Documents MSC: 65H05 Numerical computation of solutions to single equations Keywords:single nonlinear equations; finite difference method; multi-point method; nonstationary procedure; higher order of convergence PDFBibTeX XMLCite \textit{N. Kyurkchiev} and \textit{A. Iliev}, Serdica J. Comput. 3, No. 1, 47--74 (2009; Zbl 1194.65074) Full Text: EuDML