Geodesic
Finding Roots of Nonlinear Equations Using the Method of Concave Support Functions
Matematičeskie zametki, Tome 98 (2015) no. 3, pp. 427-435

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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.
Keywords: nonlinear equation, Newton's method for finding roots, concave support function, Lipschitz condition. 
O. V. Khamisov. Finding Roots of Nonlinear Equations Using the Method of Concave Support Functions. Matematičeskie zametki, Tome 98 (2015) no. 3, pp. 427-435. http://geodesic.mathdoc.fr/item/MZM_2015_98_3_a10/
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