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. 
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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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