On a perturbed analogue of the minimization method with the order of convergence 1+√2

Fìz.-mat. model. ìnf. tehnol. 2021, 32:37-41

Abstract

The use of the perturbation operator to construct new modifications of Newton's method for solving minimization problems, in particular the Ulm method of split differences, Steffensen's method, is considered. and as a result of its work we obtain a sequence of points that converge to the solution point.

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