caa a22 4500 37892138X CHVBK 20180305123606.0 cr unu---uuuuu 161128e20041201xx s 000 0 eng 10.1515/1569394042545120 doi (NATIONALLICENCE)gruyter-10.1515/1569394042545120 The method of extending compacts and a posteriori error estimates for nonlinear ill-posed problems [Elektronische Daten] [K. Yu. Dorofeev, A. G. Yagola] In this paper we show that an additional a priori information about a sourcewise representation of the solution of nonlinear ill-posed problem can be used for constructing regularizing algorithms with a posteriori error estimates. We describe these algorithms. Algorithms for the case when operators are linear can be obtained from these general algorithms. Copyright 2004, Walter de Gruyter Dorofeev K. Yu Department of Mathematics, Faculty of Physics, Moscow State University, Vorobyevy Gory, 119992, Russia. E-mails: k_dorofeev@mail.ru, yagola@inverse.phys.msu.su aut Yagola A. G. Department of Mathematics, Faculty of Physics, Moscow State University, Vorobyevy Gory, 119992, Russia. E-mails: k_dorofeev@mail.ru, yagola@inverse.phys.msu.su aut Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/6(2004-12-01), 627-636 0928-0219 12:6<627 2004 12 jiip https://doi.org/10.1515/1569394042545120 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569394042545120 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dorofeev K. Yu Department of Mathematics, Faculty of Physics, Moscow State University, Vorobyevy Gory, 119992, Russia. E-mails: k_dorofeev@mail.ru, yagola@inverse.phys.msu.su aut NATIONALLICENCE 700 1- Yagola A. G. Department of Mathematics, Faculty of Physics, Moscow State University, Vorobyevy Gory, 119992, Russia. E-mails: k_dorofeev@mail.ru, yagola@inverse.phys.msu.su aut NATIONALLICENCE 773 0- Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/6(2004-12-01), 627-636 0928-0219 12:6<627 2004 12 jiip CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter