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A note on the “constructing” of nonstationary methods for solving nonlinear equations with raised speed of convergence. (English) Zbl 1194.65074

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.

MSC:

65H05 Numerical computation of solutions to single equations
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