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Finding roots of nonlinear equations using the method of concave support functions

A method for finding roots of nonlinear equations on a closed interval generalizing Newton's method is proposed. The class of functions for which the proposed method is convergent, is determined. The rate of convergence is estimated and results of a numerical simulation are given. A method for finding roots of nonlinear equations on a closed interval generalizing Newton's method is proposed. The class of functions for which the proposed method is convergent, is determined. The rate of convergence...

Теги: nonlinear equation; Newton's method for finding roots; concave support function; Lipschitz condition
Раздел: ESI SB RAS

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