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Kokurin, M. Yu.
Solution of ill-posed nonconvex optimization problems with accuracy proportional to the error in input data. (English. Russian original) Zbl 1412.90124
Comput. Math. Math. Phys. 58, No. 11, 1748-1760 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1815-1828 (2018).
MSC:  90C26 90C48 65K05
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\textit{M. Yu. Kokurin}, Comput. Math. Math. Phys. 58, No. 11, 1748--1760 (2018; Zbl 1412.90124); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1815--1828 (2018)
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Belolipetskii, A. A.; Ter-Krikorov, A. M.
Solution of Tikhonov’s motion-separation problem using the modified Newton-Kantorovich theorem. (English. Russian original) Zbl 1400.34026
Comput. Math. Math. Phys. 58, No. 2, 223-229 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 2, 237-243 (2018).
MSC:  34A45 34E15 34A12
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\textit{A. A. Belolipetskii} and \textit{A. M. Ter-Krikorov}, Comput. Math. Math. Phys. 58, No. 2, 223--229 (2018; Zbl 1400.34026); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 2, 237--243 (2018)
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Volkov, V. V.; Erokhin, V. I.; Kakaev, V. V.; Onufrei, A. Yu.
Generalizations of Tikhonov’s regularized method of least squares to non-Euclidean vector norms. (English. Russian original) Zbl 1382.65116
Comput. Math. Math. Phys. 57, No. 9, 1416-1426 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 9, 1433-1443 (2017).
Reviewer: Constantin Popa (Constanţa)
MSC:  65F22
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\textit{V. V. Volkov} et al., Comput. Math. Math. Phys. 57, No. 9, 1416--1426 (2017; Zbl 1382.65116); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 9, 1433--1443 (2017)
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Korotkii, A. I.; Gribanova, E. I.
Reconstruction of controls in hyperbolic systems by Tikhonov’s method with nonsmooth stabilizers. (English. Russian original) Zbl 1294.93044
Proc. Steklov Inst. Math. 275, Suppl. 1, S68-S77 (2011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 17, No. 1, 99-108 (2011).
MSC:  93C20 93B51 49N45 35L99
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\textit{A. I. Korotkii} and \textit{E. I. Gribanova}, Proc. Steklov Inst. Math. 275, S68--S77 (2011; Zbl 1294.93044); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 17, No. 1, 99--108 (2011)
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Deyanov, R. Z.; Shchedrin, B. M.; Burova, E. M.
Deterministic regularization method for the problem of background line identification in experimental data analysis. (English. Russian original) Zbl 1177.65105
Comput. Math. Model. 20, No. 3, 237-246 (2009); translation from Prikl. Mat. Inf. 30, 25-34 (2008).
MSC:  65L09 34A55
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\textit{R. Z. Deyanov} et al., Comput. Math. Model. 20, No. 3, 237--246 (2009; Zbl 1177.65105); translation from Prikl. Mat. Inf. 30, 25--34 (2008)
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Kadiev, A. M.; Maksimov, V. I.
An inverse problem for a parabolic variational inequality. (Russian, English) Zbl 1121.35140
Zh. Vychisl. Mat. Mat. Fiz. 44, No. 11, 1983-1992 (2004); translation in Comput. Math. Math. Phys. 44, No. 11, 1885-1894 (2004).
Reviewer: Evgenij Nechaev (Moskva)
MSC:  35R30 35K85 49J40
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\textit{A. M. Kadiev} and \textit{V. I. Maksimov}, Zh. Vychisl. Mat. Mat. Fiz. 44, No. 11, 1983--1992 (2004; Zbl 1121.35140); translation in Comput. Math. Math. Phys. 44, No. 11, 1885--1894 (2004)
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Vasin, V. V.
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).
MSC:  65J10 65J20 47A52
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\textit{V. V. Vasin}, in: Mathematical programming, regularization and approximation. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. S225--S239 (2002; Zbl 1125.65317)
Vasil’eva, V. N.
Estimates for the roots of equations with respect to the Tikhonov regularization parameter. (Russian, English) Zbl 1058.65058
Zh. Vychisl. Mat. Mat. Fiz. 42, No. 3, 313-329 (2002); translation in Comput. Math. Math. Phys. 42, No. 3, 299-314 (2002).
Reviewer: Andrei Zemskov (Moskva)
MSC:  65J10 65J20 47A52
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\textit{V. N. Vasil'eva}, Zh. Vychisl. Mat. Mat. Fiz. 42, No. 3, 313--329 (2002; Zbl 1058.65058); translation in Comput. Math. Math. Phys. 42, No. 3, 299--314 (2002)
Vasin, V. V.
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)
MSC:  65J10 65J20 47N40 47A52
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\textit{V. V. Vasin}, Dokl. Math. 63, No. 1, 11--14 (2001; Zbl 1061.65044); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 376, No. 1, 11--15 (2001)
Wang, Yanfei; Xiao, Tingyan
Fast convergent algorithms for solving 2D integral equations of the first kind. (English) Zbl 1011.65100
Chen, Zhangxin (ed.) et al., Numerical treatment of multiphase flows in porous media. Proceedings of the international workshop, Beijing, China, August 2-6, 1999. Berlin: Springer. Lect. Notes Phys. 552, 333-344 (2000).
MSC:  65R20 76S05 94A08 94A12 45B05 65R30
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\textit{Y. Wang} and \textit{T. Xiao}, Lect. Notes Phys. 552, 333--344 (2000; Zbl 1011.65100)
Aoki, Shigeru; Amaya, Kenji
Boundary element analysis of inverse problems in corrosion engineering. (English) Zbl 0909.65123
Ingham, D. B. et al., Boundary integral formulations for inverse analysis. Southampton: CMP, Computational Mechanics Publications. Advances in Boundary Elements Series. 151-169 (1997).
MSC:  65Z05 65N38 35J05 35Q60 78A55 35R30 65M30
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\textit{S. Aoki} and \textit{K. Amaya}, in: Boundary integral formulations for inverse analysis. Southampton: CMP, Computational Mechanics Publications. 151--169 (1997; Zbl 0909.65123)
Gryn’, V. I.; Nitishinskaya, L. V.
Numerical solution of the inverse problem of reconstructing the source function in a two-dimensional plane geometry. (English. Russian original) Zbl 0832.65139
Comput. Math. Math. Phys. 34, No. 11, 1433-1443 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 11, 1666-1679 (1994).
MSC:  65Z05 65R20 65R30 35C15 35R30 85A25 45F05
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\textit{V. I. Gryn'} and \textit{L. V. Nitishinskaya}, Comput. Math. Math. Phys. 34, No. 11, 1433--1443 (1994; Zbl 0832.65139); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 11, 1666--1679 (1994)
Ryazantseva, I. P.
Tikhonov’s method in nonlinear monotone problems. (English. Russian original) Zbl 0782.47053
Comput. Math. Math. Phys. 32, No. 8, 1189-1190 (1992); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 8, 1330-1331 (1992).
Reviewer: B.V.Loginov (Tashkent)
MSC:  47J05 47H05 47J25 47H07
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\textit{I. P. Ryazantseva}, Comput. Math. Math. Phys. 32, No. 8, 1330--1331 (1992; Zbl 0782.47053); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 8, 1330--1331 (1992)
Aliakbarov, S. M.; Vasil’ev, F. P.
On regularization methods for solving unstable standardization type problems. (English. Russian original) Zbl 0719.90079
Mosc. Univ. Comput. Math. Cybern. 1990, No. 3, 17-21 (1990); translation from Vestn. Mosk. Univ., Ser. XV 1990, No. 3, 18-24 (1990).
MSC:  90C31 90C30
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\textit{S. M. Aliakbarov} and \textit{F. P. Vasil'ev}, Mosc. Univ. Comput. Math. Cybern. 1990, No. 3, 17--21 (1990; Zbl 0719.90079); translation from Vestn. Mosk. Univ., Ser. XV 1990, No. 3, 18--24 (1990)
Vasil’ev, F. P.; Potapov, M. M.; Chekanov, Yu. N.
Estimation of the convergence rate of Tikhonov’s regularization method for a linear programming problem. (English. Russian original) Zbl 0719.65050
Comput. Math. Model. 1, No. 3, 283-287 (1990); translation from Mathematical models and numerical methods, Work Collect., Moskva 1987, 21-27 (1987).
MSC:  65K05 90C05
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\textit{F. P. Vasil'ev} et al., Comput. Math. Model. 1, No. 3, 283--287 (1990; Zbl 0719.65050); translation from Mathematical models and numerical methods, Work Collect., Moskva 1987, 21--27 (1987)
Full Text: DOI
Denisov, A. M.; Ostrovskij, E. V.
A solution method for the inverse scattering problem. (English. Russian original) Zbl 0716.34099
Comput. Math. Model. 1, No. 1, 28-30 (1990); translation from Numerical mathematics and software of computers, Work Collect., Moskva 1985, 52-55 (1985).
MSC:  34L25 35P25 47A55 35P10
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\textit{A. M. Denisov} and \textit{E. V. Ostrovskij}, Comput. Math. Model. 1, No. 1, 28--30 (1990; Zbl 0716.34099); translation from Numerical mathematics and software of computers, Work Collect., Moskva 1985, 52--55 (1985)
Full Text: DOI
Levin, A. M.
Modification of Newton and the secant methods and their applications in regularizing algorithms. (English. Russian original) Zbl 0684.65053
U.S.S.R. Comput. Math. Math. Phys. 28, No. 4, 107-114 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 8, 1123-1134 (1988).
MSC:  65J10 65N35 65R20 35C15 47A50 45E10 35J25
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\textit{A. M. Levin}, U.S.S.R. Comput. Math. Math. Phys. 28, No. 4, 107--114 (1988; Zbl 0684.65053); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 8, 1123--1134 (1988)
Full Text: DOI
Leonov, A. S.
Approximate calculation of a pseudoinverse matrix using a generalized discrepancy principle. (English. Russian original) Zbl 0603.65021
U.S.S.R. Comput. Math. Math. Phys. 25, No. 3, 181-182 (1985); translation from Zh. Vychisl. Mat. Mat. Fiz. 25, No. 6, 933-935 (1985).
MSC:  65F20 15A09
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\textit{A. S. Leonov}, U.S.S.R. Comput. Math. Math. Phys. 25, No. 3, 181--182 (1985; Zbl 0603.65021); translation from Zh. Vychisl. Mat. Mat. Fiz. 25, No. 6, 933--935 (1985)
Full Text: DOI
Kulida, S. V.
Solution of the error control problem in a system of synthesizing algorithms by Tikhonov’s regularization method. (English. Russian original) Zbl 0554.65035
Mosc. Univ. Comput. Math. Cybern. 1984, No. 3, 60-66 (1984); translation from Vestn. Mosk. Univ., Ser. XV 1984, No. 3, 48-53 (1984).
MSC:  65G50
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\textit{S. V. Kulida}, Mosc. Univ. Comput. Math. Cybern. 1984, No. 3, 60--66 (1984; Zbl 0554.65035); translation from Vestn. Mosk. Univ., Ser. XV 1984, No. 3, 48--53 (1984)

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