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. 
@article{MZM_2015_98_3_a10,
     author = {O. V. Khamisov},
     title = {Finding {Roots} of {Nonlinear} {Equations} {Using} the {Method} of {Concave} {Support} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {427--435},
     publisher = {mathdoc},
     volume = {98},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_3_a10/}
}
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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/