Geodesic
The nonlinear projection regularization method
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 10 (2011), pp. 4-11

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The projection regularization method was reduced in this article. The regularization parameter was chosen from the residual principle. We obtain an estimate the error of this method on the class of correctness $M_r$.
Keywords: operator equations, regularization, optimal method, error estimate, ill-posed problem. 
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     author = {A. B. Bredikhina},
     title = {The nonlinear projection regularization method},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {4--11},
     publisher = {mathdoc},
     number = {10},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2011_10_a0/}
}
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A. B. Bredikhina. The nonlinear projection regularization method. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 10 (2011), pp. 4-11. http://geodesic.mathdoc.fr/item/VYURU_2011_10_a0/