Fetisov, Yu. M. On the approximation of a quasisolution of an operator equation of the first kind in Orlicz space. (English) Zbl 0601.65045 Sov. Math. 25, No. 6, 61-66 (1981). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{Yu. M. Fetisov}, Sov. Math. 25, No. 6, 61--66 (1981; Zbl 0601.65045)
Fetisov, Yu. M. On the approximation of a quasisolution of an operator equation of the first kind in Orlicz space. (Russian) Zbl 0562.65038 Izv. Vyssh. Uchebn. Zaved., Mat. 1981, No. 6(229), 54-58 (1981). Reviewer: O.Vaarmann MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{Yu. M. Fetisov}, Izv. Vyssh. Uchebn. Zaved., Mat. 1981, No. 6(229), 54--58 (1981; Zbl 0562.65038)
Engl, Heinz W. Stability of solutions to linear operator equations of the first and second kinds under perturbation of the operator with rank change. (English) Zbl 0556.47012 Mathematical aspects of computerized tomography, Proc., Oberwolfach 1980, Lect. Notes Med. Inf. 8, 13-28 (1981). MSC: 47A55 45B05 47A50 65J10 PDFBibTeX XML
Stepanov, A. A. The cross-check method for the choice of the regularization parameter. (Russian) Zbl 0553.65095 Methods and algorithms in numerical analysis, Moskva 1981, 66-78 (1981). MSC: 65R20 45B05 PDFBibTeX XML
Wahba, Grace A new approach to the numerical evaluation of the inverse Radon transform with discrete, noisy data. (English) Zbl 0544.65092 Mathematical aspects of computerized tomography, Proc., Oberwolfach 1980, Lect. Notes Med. Inf. 8, 189-203 (1981). MSC: 65R10 44A15 45H05 65R20 PDFBibTeX XML
Vasin, V. V. 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 MSC: 65J10 65R20 45B05 47A50 PDFBibTeX XMLCite \textit{V. V. Vasin}, Sov. Math., Dokl. 23, 494--498 (1981; Zbl 0539.65039); translation from Dokl. Akad. Nauk SSSR 258, 271--275 (1981)
Amerbaev, V. M.; Utembaev, N. A. Analysis of numerical algorithms for the inversion of the Laplace transform by means of Laguerre series. (English) Zbl 0532.65084 Generalized functions and their applications in mathematical physics, Proc. int. Conf., Moscow 1980, 28-34 (1981). Reviewer: V.Suchánková-Marsiková MSC: 65R10 44A10 PDFBibTeX XML
Gaponenko, Yu. L. Method of contracting compacta for solving nonlinear ill-posed problems. (English. Russian original) Zbl 0525.65042 U.S.S.R. Comput. Math. Math. Phys. 21, No. 6, 3-13 (1981); translation from Zh. Vychisl. Mat. Mat. Fiz. 21, 1365-1375 (1981). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{Yu. L. Gaponenko}, U.S.S.R. Comput. Math. Math. Phys. 21, No. 6, 3--13 (1981; Zbl 0525.65042); translation from Zh. Vychisl. Mat. Mat. Fiz. 21, 1365--1375 (1981) Full Text: DOI
Strakhov, V. N. The choice of the constant in A. N. Tikhonov’s rule for specifying the regularization parameter in the solution of linear conditionally well- posed problems. (English. Russian original) Zbl 0495.65024 U.S.S.R. Comput. Math. Math. Phys. 21, No. 5, 240-243 (1981); translation from Zh. Vychisl. Mat. Mat. Fiz. 21, 1315-1318 (1981). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{V. N. Strakhov}, U.S.S.R. Comput. Math. Math. Phys. 21, No. 5, 240--243 (1981; Zbl 0495.65024); translation from Zh. Vychisl. Mat. Mat. Fiz. 21, 1315--1318 (1981) Full Text: DOI
Saadabaev, A. Regularization of the solutions of an integral equation of first kind with approximately given kernel and right-hand side. (Russian) Zbl 0494.65072 Izv. Akad. Nauk Kirg. SSR 1981, No. 4, 7-11 (1981). MSC: 65R20 45A05 PDFBibTeX XMLCite \textit{A. Saadabaev}, Izv. Akad. Nauk Kirg. SSR 1981, No. 4, 7--11 (1981; Zbl 0494.65072)
Aref’eva, M. V. Solution of convolution type equations by the regularization method with application of the fast Fourier transform and the discrepancy test. (Russian) Zbl 0494.65071 Vychisl. Metody Program. 35, 51-68 (1981). MSC: 65R20 45A05 PDFBibTeX XMLCite \textit{M. V. Aref'eva}, Vychisl. Metody Program. 35, 51--68 (1981; Zbl 0494.65071)
Basistov, Yu. A. Tikhonov regularization of the hypothesis testing problem under uncertainty. (English. Russian original) Zbl 0488.62030 Autom. Remote Control 42, 1173-1182 (1982); translation from Avtom. Telemekh. 1981, No. 9, 49-59 (1981). MSC: 62G10 62C99 62J99 PDFBibTeX XMLCite \textit{Yu. A. Basistov}, Autom. Remote Control 42, 1173--1182 (1981; Zbl 0488.62030); translation from Avtom. Telemekh. 1981, No. 9, 49--59 (1981)
Engl, Heinz W. Necessary and sufficient conditions for convergence of regularization methods for solving linear operator equations of the first kind. (English) Zbl 0472.65045 Numer. Funct. Anal. Optimization 3, 201-222 (1981). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{H. W. Engl}, Numer. Funct. Anal. Optim. 3, 201--222 (1981; Zbl 0472.65045) Full Text: DOI
Lukas, Mark A. Regularization of linear operator equations. (English) Zbl 0457.65036 Bull. Aust. Math. Soc. 24, 313-314 (1981). MSC: 65J10 47A50 45B05 65R20 PDFBibTeX XMLCite \textit{M. A. Lukas}, Bull. Aust. Math. Soc. 24, 313--314 (1981; Zbl 0457.65036) Full Text: DOI