Found 24 Documents (Results 1–24)
Separate reconstruction of solution components with singularities of various types for linear operator equations of the first kind. (English. Russian original) Zbl 1319.47008
Proc. Steklov Inst. Math. 289, Suppl. 1, S216-S226 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 2, 63-73 (2014).
Approximation of solutions with singularities of various types for linear ill-posed problems. (English) Zbl 1302.47018
Dokl. Math. 89, No. 1, 30-33 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 2, 137-140 (2014).
Reviewer: Denis Sidorov (Irkutsk)
Reconstruction of smooth and discontinuous components of solutions to linear ill-posed problems. (English. Russian original) Zbl 1267.49032
Dokl. Math. 87, No. 1, 23-25 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 2, 127-130 (2013).
The method of quasi-solutions by Ivanov is the effective method of solving ill-posed problems. (English) Zbl 1153.65339
Tikhonov regularization with nondifferentiable stabilizing functionals. (English) Zbl 1139.65039
Reviewer: Werner H. Schmidt (Greifswald)
Some approaches to reconstruction of nonsmooth solutions of linear ill-posed problems. (English) Zbl 1128.65035
Approximation of nonsmooth solutions of linear ill-posed problems. (English) Zbl 1130.47008
Maksimov, V. I. (ed.), Dynamical systems: modeling, optimization, and control. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica, Pleiades Publishing/distrib. by Springer. Proc. Steklov Inst. Math. 2006, Suppl. 1, S247-S262 (2006); translation from Tr. Inst. Mat. Mekh. 12, No. 1, 64-77 (2006).
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
MSC:
47A52
Two-stage approximation of nonsmooth solutions and restoration of noised images. (English. Russian original) Zbl 1072.65076
Autom. Remote Control 65, No. 2, 270-279 (2004); translation from Avtom. Telemekh. 2004, No. 2, 126-135 (2004).
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Regularization and iterative approximation for linear ill-posed problems in the space of functions of bounded variation. (English) Zbl 1125.65317
Eremin, I. I. (ed.), Mathematical programming, regularization and approximation. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 2002, Suppl. 1, S225-S239 (2002).
Theory of linear ill-posed problems and its applications. Transl., updated and revised from the Russian edition 1978. 2nd ed. (English) Zbl 1037.65056
Inverse and Ill-Posed Problems Series. Utrecht: VSP (ISBN 90-6764-367-X/hbk). xiii, 281 p. (2002).
Reviewer: Robert Plato (Berlin)
Regularization and discrete approximation of ill-posed problems in the space of functions of bounded variation. (English. Russian original) Zbl 1061.65044
Dokl. Math. 63, No. 1, 5-8 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 376, No. 1, 11-15 (2001).
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Ill-posed problems with a priori information. (English) Zbl 0840.65048
Inverse and Ill-posed Problems Series. Utrecht: VSP. ix, 255 p. (1995).
Reviewer: G.Vainikko (Espoo)
Iterative approximation of solutions of nonlinear unstable problems in a Hilbert space. (English) Zbl 0818.65048
Ill-posed problems with a priori information. (Nekorrektnye zadachi s apriornoĭ informatsieĭ.) (Russian) Zbl 1012.65001
Ekaterinburg: Nauka. 263 p. (1993).
The a priori information and iterative methods for solution of ill-posed problems. (Russian) Zbl 0739.65054
Reviewer: S.I.Piskarev (Moskva)
Methods for solving ill-posed problems. Textbook. (Metody resheniya neustojchivykh zadach. Uchebnoe posobie.) (Russian) Zbl 0744.65038
Sverdlovsk: Ural’skij Gosudarstvennyj Universitet, 95 p. (1989).
Reviewer: G.Vainikko (Tartu)
A general scheme for discretization of regularizing algorithms in Banach spaces. (English. Russian original) Zbl 0539.65039
Sov. Math., Dokl. 23, 494-498 (1981); translation from Dokl. Akad. Nauk SSSR 258, 271-275 (1981).
Reviewer: L.B.Rall
On the convergence of the generalized discrepancy method and its discrete approximations. (Russian) Zbl 0456.65028
Issled. Mat. Analiz., Mat. Zap. 11, No. 4, 3-18 (1979).
Diskrete Konvergenz und endlichdimensionale Approximation regularisierender Algorithmen. (Russian) Zbl 0406.65027
Theory of linear ill-posed problems and its applications. (Teoriya linejnykh nekorrektnykh zadach i ee prilozheniya). (Russian) Zbl 0489.65035
Akademiya Nauk SSSR, Ural’skij Nauchnyj Tsentr; Institut Matematiki i Mekhaniki. Moskva: “Nauka”. 206 p. R. 3.00 (1978).
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