Geodesic
The global search in the Tikhonov scheme
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2010), pp. 20-31

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The goal of this paper is to justify a general scheme for constructing two-stage iterative solution processes for irregular nonlinear operator equations based on the sequential approximate minimization of locally strongly convex Tikhonov functionals.
Keywords: ill-posed problem, Tikhonov scheme, global optimization, local strong convexity, source-wise representation. 
@article{IVM_2010_12_a1,
     author = {M. Yu. Kokurin},
     title = {The global search in the {Tikhonov} scheme},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {20--31},
     publisher = {mathdoc},
     number = {12},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_12_a1/}
}
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M. Yu. Kokurin. The global search in the Tikhonov scheme. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2010), pp. 20-31. http://geodesic.mathdoc.fr/item/IVM_2010_12_a1/