Geodesic
A brief description of two-sided approximation for some Newton’s type methods
Matematičeskoe modelirovanie, Tome 26 (2014) no. 11, pp. 71-77 
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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     author = {T. Zhanlav and O. Chuluunbaatar and V. Ulziibayar},
     title = {A brief description of two-sided approximation for some {Newton{\textquoteright}s} type methods},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {71--77},
     year = {2014},
     volume = {26},
     number = {11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_11_a10/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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