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This article is cited in 4 scientific papers (total in 4 papers)
Finding Roots of Nonlinear Equations Using the Method of Concave Support Functions
O. V. Khamisov L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences
Abstract:
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.
Received: 16.12.2014
Citation:
O. V. Khamisov, “Finding Roots of Nonlinear Equations Using the Method of Concave Support Functions”, Mat. Zametki, 98:3 (2015), 427–435; Math. Notes, 98:3 (2015), 484–491
Linking options:
https://www.mathnet.ru/eng/mzm10705https://doi.org/10.4213/mzm10705 https://www.mathnet.ru/eng/mzm/v98/i3/p427
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Abstract page: | 288 | Full-text PDF : | 322 | References: | 35 | First page: | 25 |
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