Документ взят из кэша поисковой машины. Адрес
оригинального документа
: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2013/v14r157.html
Дата изменения: Wed Feb 12 16:21:34 2014 Дата индексирования: Fri Feb 28 00:36:44 2014 Кодировка: IBM-866 Поисковые слова: integral |
"Minimization of the residual functional in problems of stream
experimental data processing" Shpynev B.G., Voronov A.L. |
We consider the problem of residual functional minimization that arises in the case of long experimental data series processing when the measured process is described by nonlinear integro-differential or integral equations. For the nonlinear inverse problems that deal with functions with continuous first and second derivatives on a compact set, we consider the three main techniques: a descent algorithm, a regularization method, and the search of the optimal solution in the set of all suboptimal solutions. The central part of the new method is the descent algorithm, which works on a multidimensional net constructed on the base of polytope vertices. The regularization of the solution is performed using the Sobolev's space as a minimization domain. To avoid the ambiguities due to the presence of suboptimal solutions, we apply a special technique that uses the elements of genetic algorithms and allows one to adopt the previously obtained processing results. Keywords: nonlinear integro-differential equations, descent algorithm, regularization, genetic algorithm |
Shpynev B.G., e-mail: shpynev@iszf.irk.ru; Voronov A.L., e-mail: raven@iszf.irk.ru тАУ Institute of Solar-Terrestrial Physics, Siberian Branch of Russian Academy of Sciences; ulitsa Lermontova 126a, Irkutsk, 664033, Russia |
яЁѓ