Geodesic
A brief description of two-sided approximation for some Newton’s type methods
Matematičeskoe modelirovanie, Tome 26 (2014) no. 11, pp. 71-77.

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We suggest and analyze a combination of a damped Newton’s method and a simplified version of Newton’s one. We show that the proposed iterations give two-sided approximations of the solution which can be efficiently used as posteriori estimations. Some numerical examples illustrate the efficiency and performance of the method proposed. 
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T. Zhanlav; O. Chuluunbaatar; V. Ulziibayar. A brief description of two-sided approximation for some Newton’s type methods. Matematičeskoe modelirovanie, Tome 26 (2014) no. 11, pp. 71-77. http://geodesic.mathdoc.fr/item/MM_2014_26_11_a10/

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