Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G. Regularizing algorithms and a priori information. (Regulyariziruyushchie algoritmy i apriornaya informatsiya). (Russian) Zbl 0529.65027 Moskva: “Nauka” Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 200 p. R. 1.80 (1983). MSC: 65J10 65-02 65R20 47A50 65-04 PDFBibTeX XML
Bensoussan, Alain Un résultat de perturbations singulieres pour systèmes distribues instables. (French) Zbl 0528.49017 C. R. Acad. Sci., Paris, Sér. I 296, 469-472 (1983). MSC: 49K40 35B25 49K20 35J65 35B37 35R25 49J20 93C20 93C10 PDFBibTeX XMLCite \textit{A. Bensoussan}, C. R. Acad. Sci., Paris, Sér. I 296, 469--472 (1983; Zbl 0528.49017)
Pogorzelec, Anna Initial value problems for ill-determined linear systems with right invertible operators. (English) Zbl 0528.47007 Demonstr. Math. 16, 407-420 (1983). MSC: 47A50 47A05 PDFBibTeX XMLCite \textit{A. Pogorzelec}, Demonstr. Math. 16, 407--420 (1983; Zbl 0528.47007) Full Text: DOI
Zadorin, A. I.; Ignat’ev, V. N. On the numerical solution of an equation with a small parameter at the highest derivative. (Russian) Zbl 0527.65061 Zh. Vychisl. Mat. Mat. Fiz. 23, No. 3, 620-628 (1983). MSC: 65L10 65L50 34E15 34B05 PDFBibTeX XMLCite \textit{A. I. Zadorin} and \textit{V. N. Ignat'ev}, Zh. Vychisl. Mat. Mat. Fiz. 23, No. 3, 620--628 (1983; Zbl 0527.65061)
Schock, Eberhard On the approximate solution of ill-posed equations in Banach spaces. (English) Zbl 0527.65035 Vorlesungen Fachbereich Math. Univ. Essen 10, 351-362 (1983). MSC: 65J10 65R20 45B05 PDFBibTeX XMLCite \textit{E. Schock}, Vorlesungen Fachbereich Math. Univ. Essen 10, 351--362 (1983; Zbl 0527.65035)
Sarv, L. Two-step alpha-processes and their application to the solution of incorrect problems. (Russian) Zbl 0524.65037 Uch. Zap. Tartu. Gos. Univ. 633, 41-44 (1983). MSC: 65J10 47A50 PDFBibTeX XML
Schock, Eberhard Regularisierungsverfahren für Gleichungen erster Art mit positiv definiten Operatoren. (German) Zbl 0523.65038 Improperly posed problems and their numerical treatment, Conf. Oberwolfach 1982, ISNM 63, 227-236 (1983). MSC: 65J10 47A50 PDFBibTeX XML
Groetsch, C. W.; King, J. T. The saturation phenomena for Tikhonov regularization. (English) Zbl 0523.65037 J. Aust. Math. Soc., Ser. A 35, 254-262 (1983). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{C. W. Groetsch} and \textit{J. T. King}, J. Aust. Math. Soc., Ser. A 35, 254--262 (1983; Zbl 0523.65037)
Abdelmalek, N. N. An algorithm for the solution of ill-posed linear systems arising from the discretization of Fredholm integral equation of the first kind. (English) Zbl 0522.65086 J. Math. Anal. Appl. 97, 95-111 (1983). MSC: 65R20 65F05 45B05 PDFBibTeX XMLCite \textit{N. N. Abdelmalek}, J. Math. Anal. Appl. 97, 95--111 (1983; Zbl 0522.65086) Full Text: DOI
Natterer, Frank On the order of regularization methods. (English) Zbl 0522.65084 Improperly posed problems and their numerical treatment, Conf. Oberwolfach 1982, ISNM 63, 189-203 (1983). MSC: 65R10 65J10 65R20 47A50 44A15 92F05 45H05 PDFBibTeX XML
Eriksson, Gerd; Dahlquist, Germund On an inverse non-linear diffusion problem. (English) Zbl 0518.65065 Numerical treatment of inverse problems in differential and integral equations, Proc. int. Workshop, Heidelberg 1982, Prog. Sci. Comput. 2, 238-245 (1983). MSC: 65M30 65K10 35K60 35R30 93B30 PDFBibTeX XML
Lions, J. L. Contrôle des systèmes distribues singuliers. (French) Zbl 0514.93001 Methodes Mathematiques de l’Informatique 13. Paris: Gauthier-Villars. Bordas. XXIII, 448 p. FF 285.00 (1983). MSC: 93-01 93C20 35B37 35B32 35B35 35K40 35L55 35R25 35B45 49J20 49K20 93D99 49M30 46E99 46M35 PDFBibTeX XML
Engl, Heinz W. Regularization by least-squares collocation. (English) Zbl 0514.65040 Numerical treatment of inverse problems in differential and integral equations, Proc. int. Workshop, Heidelberg 1982, Prog. Sci. Comput. 2, 345-354 (1983). MSC: 65J10 47A50 65R20 65L10 PDFBibTeX XML
Engl, H. W. On the convergence of regularization methods for ill-posed linear operator equations. (English) Zbl 0514.65039 Improperly posed problems and their numerical treatment, Conf. Oberwolfach 1982, ISNM 63, 81-95 (1983). MSC: 65J10 47A50 65R20 65L10 PDFBibTeX XML
Groetsch, C. W. Comments on Morozov’s discrepancy principle. (English) Zbl 0513.65031 Improperly posed problems and their numerical treatment, Conf. Oberwolfach 1982, ISNM 63, 97-104 (1983). MSC: 65J10 47A50 65R20 PDFBibTeX XML
Lions, J. L. Contrôle optimal de systèmes à etats multiples. (French) Zbl 0512.49006 Mathematical theories of optimization, Proc. Conf., Genova 1981, Lect. Notes Math. 979, 202-215 (1983). MSC: 49J20 35J65 49K20 35B37 93C20 PDFBibTeX XML
Groetsch, C. W. On the asymptotic order of accuracy of Tikhonov regularization. (English) Zbl 0501.65017 J. Optimization Theory Appl. 41, 293-298 (1983). MSC: 65J10 65R20 45B05 47A50 PDFBibTeX XMLCite \textit{C. W. Groetsch}, J. Optim. Theory Appl. 41, 293--298 (1983; Zbl 0501.65017) Full Text: DOI
Bakushinskij, A. B. Asymptotic properties of approximations used for the solution of incorrect problems. (Russian) Zbl 0598.65041 Methods for the solution of incorrect problems and their applications, Proc. All-Union Sch.-Semin., Noorus 1982, 13-18 (1982). MSC: 65J15 65J10 47A50 47J25 PDFBibTeX XML
Yagola, A. G. Ill-posed problems with approximately given operator. (Russian) Zbl 0598.65037 Methods for the solution of incorrect problems and their applications, Proc. All-Union Sch.-Semin., Noorus 1982, 150-157 (1982). MSC: 65J10 47A50 PDFBibTeX XML
Vajnikko, G. M. Discrepancy principle for a class of iterative methods. (Russian) Zbl 0598.65033 Methods for the solution of incorrect problems and their applications, Proc. All-Union Sch.-Semin., Noorus 1982, 19-28 (1982). MSC: 65J10 47A50 PDFBibTeX XML
Wahba, Grace Constrained regularization for ill posed linear operator equations, with applications in meteorology and medicine. (English) Zbl 0583.62066 Statistical decision theory and related topics III, Proc. 3rd Purdue Symp., West Lafayette/Indiana 1981, Vol. 2, 383-418 (1982). MSC: 62J07 62P99 65C99 47A62 PDFBibTeX XML
Chechkin, A. V. Ultramappings of topological spaces. (Russian. English original) Zbl 0566.54008 Sov. Math., Dokl. 25, 308-311 (1982); translation from Dokl. Akad. Nauk SSSR 263, No. 1, 51-55 (1982). MSC: 54C99 54A25 47A50 54A20 54C05 47J25 PDFBibTeX XMLCite \textit{A. V. Chechkin}, Sov. Math., Dokl. 25, 308--311 (1982; Zbl 0566.54008); translation from Dokl. Akad. Nauk SSSR 263, No. 1, 51--55 (1982)
Liskovets, O. A. Theory and methods of the solution of ill-posed problems. (Russian) Zbl 0546.65035 Itogi Nauki Tekh., Ser. Mat. Anal. 20, 116-178 (1982). Reviewer: T.Reginska MSC: 65J05 65R20 65-02 47A50 PDFBibTeX XML
Chechkin, A. V. Ultramappings of topological spaces. (English. Russian original) Zbl 0542.54015 Sov. Math., Dokl. 25, 308-311 (1982); translation from Dokl. Akad. Nauk SSSR 263, 51-55 (1982). Reviewer: B.Behrens MSC: 54C99 54A25 47A50 47J25 PDFBibTeX XMLCite \textit{A. V. Chechkin}, Sov. Math., Dokl. 25, 308--311 (1982; Zbl 0542.54015); translation from Dokl. Akad. Nauk SSSR 263, 51--55 (1982)
Vajnikko, Genuadi Methods for the solution of linear incorrectly formulated problems in Hilbert spaces. Textbook. (Metody resheniya linejnykh nekorrektno postavlennykh zadach v gil’bertovykh prostranstvakh). (Russian) Zbl 0537.65047 Tartu: Tartuskij Gosudarstvennyj Universitet. 111 p. R. 0.15 (1982). Reviewer: A.Galántai MSC: 65J10 65-02 47A50 PDFBibTeX XML
Bakushinskij, A. B.; Sizikov, V. S. Some non-standard regularizing algorithms and their numerical realization. (English) Zbl 0536.65042 U.S.S.R. Comput. Math. Math. Phys. 22, No. 3, 37-44 (1982). MSC: 65J10 65R20 45B05 47A50 78A40 78A50 PDFBibTeX XMLCite \textit{A. B. Bakushinskij} and \textit{V. S. Sizikov}, U.S.S.R. Comput. Math. Math. Phys. 22, No. 3, 37--44 (1982; Zbl 0536.65042) Full Text: DOI
Oganesyan, S. M.; Starostenko, V. N. A dual method for solving a linear ill-posed problem using a parametric modified Lagrange functional and Tihonov’s variational method. (English. Russian original) Zbl 0536.47010 Sov. Math., Dokl. 25, 350-354 (1982); translation from Dokl. Akad. Nauk SSSR 263, 297-301 (1982). Reviewer: I.E.Blum MSC: 47A50 49J35 65J10 65M30 41A65 PDFBibTeX XMLCite \textit{S. M. Oganesyan} and \textit{V. N. Starostenko}, Sov. Math., Dokl. 25, 350--354 (1982; Zbl 0536.47010); translation from Dokl. Akad. Nauk SSSR 263, 297--301 (1982)
Tanana, V. P.; Danilin, A. R. Necessary and sufficient conditions for convergence of finite-dimensional approximations of regularized solutions. (English. Russian original) Zbl 0535.41039 Sov. Math., Dokl. 25, 841-842 (1982); translation from Dokl. Akad. Nauk SSSR 264, 1094-1096 (1982). Reviewer: W.Krabs MSC: 41A65 47A55 47A50 65J10 65M30 PDFBibTeX XMLCite \textit{V. P. Tanana} and \textit{A. R. Danilin}, Sov. Math., Dokl. 25, 841--842 (1982; Zbl 0535.41039); translation from Dokl. Akad. Nauk SSSR 264, 1094--1096 (1982)
Vainikko, G. M. The discrepancy principle for a class of regularization methods. (English. Russian original) Zbl 0528.65033 U.S.S.R. Comput. Math. Math. Phys. 22, No. 3, 1-19 (1982); translation from Vychisl. Mat. Mat. Fiz. 22, 499-515 (1982). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{G. M. Vainikko}, U.S.S.R. Comput. Math. Math. Phys. 22, No. 3, 1--19 (1982; Zbl 0528.65033); translation from Vychisl. Mat. Mat. Fiz. 22, 499--515 (1982) Full Text: DOI
Strakhov, V. N.; Valyashko, G. M. Adaptive regularization of linear ill-posed problems. (Russian) Zbl 0525.65033 Actual problems of applied mathematics and of mathematical modelling, Work Collect., Novosibirsk 1982, 51-60 (1982). MSC: 65J10 47A50 PDFBibTeX XML
Vinokurov, V. A.; Gaponenko, Yu. L. A posteriori estimates of the solutions of ill-posed inverse problems. (English. Russian original) Zbl 0523.65046 Sov. Math., Dokl. 25, 325-328 (1982); translation from Dokl. Akad. Nauk SSSR 263, 277-280 (1982). MSC: 65J15 47J25 35K05 41A65 46E35 PDFBibTeX XMLCite \textit{V. A. Vinokurov} and \textit{Yu. L. Gaponenko}, Sov. Math., Dokl. 25, 325--328 (1982; Zbl 0523.65046); translation from Dokl. Akad. Nauk SSSR 263, 277--280 (1982)
Eriksson, Gerd Non-linear inverse problems. (English) Zbl 0518.65064 TRITA-NA, R. Inst. Technol., Stockh. 8209, 46 p. (1982). MSC: 65M30 65K10 93B30 35K60 35R30 PDFBibTeX XML
Fedotov, A. M. Linear ill-posed problems with random errors in the data. (Linejnye nekorrekt nye zadachi so sluchajnymi oshibkami v dannykh). (Russian) Zbl 0518.65029 Akademiya Nauk SSSR, Sibirskoe Otdelenie. Vychislitel’nyj Tsentr. Novosibirsk: Izdatel’stvo “Nauka” Sibirskoe Otdelenie. 192 p. R. 1.10 (1982). MSC: 65J10 65-01 47A50 PDFBibTeX XML
Groetsch, C. W.; King, J. T.; Murio, D. Asymptotic analysis of a finite element method for Fredholm equations of the first kind. (English) Zbl 0516.65033 Treatment of integral equations by numerical methods, Proc. Symp., Durham 1982, 1-11 (1982). MSC: 65J10 65R20 45B05 PDFBibTeX XML
Krasnosel’skij, M. A.; Emelin, I. V.; Veretennikov, A. Yu. On regularization of ill-posed problems by stop-rules of iterative procedures with random errors. (English) Zbl 0515.65045 Numer. Funct. Anal. Optimization 5, 199-215 (1982). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{M. A. Krasnosel'skij} et al., Numer. Funct. Anal. Optim. 5, 199--215 (1982; Zbl 0515.65045) Full Text: DOI
Gaponenko, Yu. L. The contracting compactum principle for solving ill-posed problems. (English. Russian original) Zbl 0512.65046 Sov. Math., Dokl. 25, 515-518 (1982); translation from Dokl. Akad. Nauk SSSR 263, 1293-1296 (1982). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{Yu. L. Gaponenko}, Sov. Math., Dokl. 25, 515--518 (1982; Zbl 0512.65046); translation from Dokl. Akad. Nauk SSSR 263, 1293--1296 (1982)
Marti, J. T. On a regularization method for Fredholm equations of the first kind using Sobolev spaces. (English) Zbl 0508.65058 Treatment of integral equations by numerical methods, Proc. Symp., Durham 1982, 59-66 (1982). MSC: 65R20 65J10 47A50 45B05 PDFBibTeX XML
Hayasida, Kazuya; Tachi, Hideaki On the three circles theorem for solutions of elliptic equations with two variables. (English) Zbl 0506.35032 Funkc. Ekvacioj, Ser. Int. 25, 141-152 (1982). MSC: 35J45 35F05 35R25 35B30 PDFBibTeX XMLCite \textit{K. Hayasida} and \textit{H. Tachi}, Funkc. Ekvacioj, Ser. Int. 25, 141--152 (1982; Zbl 0506.35032)
Bakushinskij, A. B.; Sizikov, V. S. Some non-standard regularizing algorithms and their numerical realization. (Russian) Zbl 0505.65014 Zh. Vychisl. Mat. Mat. Fiz. 22, 532-539 (1982). MSC: 65J10 65R20 45B05 78A40 78A50 47A50 PDFBibTeX XMLCite \textit{A. B. Bakushinskij} and \textit{V. S. Sizikov}, Zh. Vychisl. Mat. Mat. Fiz. 22, 532--539 (1982; Zbl 0505.65014)
Sarv, L. A certain family of nonlinear iterative methods for solving ill-posed problems. (Russian) Zbl 0499.65034 Izv. Akad. Nauk Ehst. SSR, Fiz., Mat. 31, 261-269 (1982). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{L. Sarv}, Izv. Akad. Nauk Èst. SSR, Fiz., Mat. 31, 261--269 (1982; Zbl 0499.65034)
Engl, H. W. Notwendige und hinreichende Bedingungen für die Konvergenz von Regularisierungsverfahren zur Lösung linearer Operatorgleichungen erster Art. (German) Zbl 0495.65023 Z. Angew. Math. Mech. 62, T323-T325 (1982). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{H. W. Engl}, Z. Angew. Math. Mech. 62, T323--T325 (1982; Zbl 0495.65023)
Elden, Lars Time discretization in the backward solution of parabolic equations. II. (English) Zbl 0491.65053 Math. Comput. 39, 69-84 (1982). MSC: 65M30 65M15 35G10 35K25 PDFBibTeX XMLCite \textit{L. Elden}, Math. Comput. 39, 69--84 (1982; Zbl 0491.65053) Full Text: DOI
Elden, Lars Time discretization in the backward solution of parabolic equations. I. (English) Zbl 0491.65052 Math. Comput. 39, 53-68 (1982). MSC: 65M30 65M15 35G10 35K25 PDFBibTeX XMLCite \textit{L. Elden}, Math. Comput. 39, 53--68 (1982; Zbl 0491.65052) Full Text: DOI
Adams, E.; Ames, W. F. Linear or nonlinear hyperbolic wave problems with input sets. I. (English) Zbl 0485.35060 J. Eng. Math. 16, 23-45 (1982). MSC: 35L20 35B30 74H55 78A55 35R25 PDFBibTeX XMLCite \textit{E. Adams} and \textit{W. F. Ames}, J. Eng. Math. 16, 23--45 (1982; Zbl 0485.35060) Full Text: DOI
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
Gilyazov, S. F. Stable solution of linear incorrect equations by the method of steepest descent. (Russian) Zbl 0554.65041 Methods and algorithms in numerical analysis, Moskva 1981, 50-65 (1981). Reviewer: A.Galántai MSC: 65J10 47A50 PDFBibTeX XML
Sidorov, N. A.; Trenogin, V. A. Regularization of linear equations by the application of perturbation theory. (English) Zbl 0543.35095 Differ. Equations 16, 1303-1311 (1981). MSC: 35R25 35B20 35R20 47A05 47A55 PDFBibTeX XMLCite \textit{N. A. Sidorov} and \textit{V. A. Trenogin}, Differ. Equations 16, 1303--1311 (1981; Zbl 0543.35095)
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)
Zhu, Ciyou The pre-conditioning method for solving ill-posed linear equations. An application of the theory of numerical dependence. (Chinese. English summary) Zbl 0534.65010 Numer. Math., Nanjing 3, 97-106 (1981). Reviewer: Pingqi Pan MSC: 65F05 65F35 PDFBibTeX XMLCite \textit{C. Zhu}, Numer. Math., Nanjing 3, 97--106 (1981; Zbl 0534.65010)
Samarin, M. K. On the beta-continuity of linear mappings. (Russian) Zbl 0516.65031 Vychisl. Metody Program. 35, 35-41 (1981). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{M. K. Samarin}, Vychisl. Metody Program. 35, 35--41 (1981; Zbl 0516.65031)
Tanana, V. P. Methods for solving operator equations. (Metody resheniya operatornykh uravnenij). (Russian) Zbl 0501.65016 Akademiya Nauk SSSR. Ural’skij Nauchnyj Tsentr. Institut Matematiki i mekhaniki. Moskva: Izdatel’stvo “Nauka”. 160 p. R. 0.95 (1981). MSC: 65Jxx 65-02 47J25 47A50 PDFBibTeX XML
Fedotov, A. M. Optimal linear procedures for solving linear operator equations with random data. (English. Russian original) Zbl 0495.65025 U.S.S.R. Comput. Math. Math. Phys. 21, No. 5, 1-15 (1981); translation from Zh. Vychisl. Mat. Mat. Fiz. 21, 1075-1090 (1981). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{A. M. Fedotov}, U.S.S.R. Comput. Math. Math. Phys. 21, No. 5, 1--15 (1981; Zbl 0495.65025); translation from Zh. Vychisl. Mat. Mat. Fiz. 21, 1075--1090 (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
Jory, Virginia V. Approximators to generalized inverses as regularizers of ill-posed problems. (English) Zbl 0494.65030 Numer. Funct. Anal. Optimization 3, 477-492 (1981). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{V. V. Jory}, Numer. Funct. Anal. Optim. 3, 477--492 (1981; Zbl 0494.65030) Full Text: DOI
Zejnalov, I. S. On a certain incorrect problem for an abstract parabolic equation in Banach space. (Russian) Zbl 0493.35049 Dokl., Akad. Nauk Az. SSR 37, No. 9, 7-9 (1981). MSC: 35G10 35K25 35R25 35B20 34G10 PDFBibTeX XMLCite \textit{I. S. Zejnalov}, Dokl., Akad. Nauk Az. SSR 37, No. 9, 7--9 (1981; Zbl 0493.35049)
Strakhov, V. N.; Valyashko, G. M. Adaptive regularization algorithms for linear ill-posed problems. (English. Russian original) Zbl 0485.65039 Sov. Math., Dokl. 24, 120-122 (1981); translation from Dokl. Akad. Nauk SSSR 259, 546-548 (1981). MSC: 65J10 35R25 65M30 93C40 PDFBibTeX XMLCite \textit{V. N. Strakhov} and \textit{G. M. Valyashko}, Sov. Math., Dokl. 24, 120--122 (1981; Zbl 0485.65039); translation from Dokl. Akad. Nauk SSSR 259, 546--548 (1981)
Boehmer, K.; Locker, J. Asymptotic expansions in ill-posed boundary value problems. (English) Zbl 0478.65050 Z. Angew. Math. Mech. 61, T272-T273 (1981). MSC: 65L10 34B05 PDFBibTeX XMLCite \textit{K. Boehmer} and \textit{J. Locker}, Z. Angew. Math. Mech. 61, T272--T273 (1981; Zbl 0478.65050)
Il’inskij, A. S.; Sveshnikov, A. G. Development of mathematical modeling methods in electrodynamics. (English) Zbl 0478.65036 Mosc. Univ. Comput. Math. Cybern. 1981, No. 3, 55-64 (1981). MSC: 65J10 78A25 65C20 65-02 PDFBibTeX XMLCite \textit{A. S. Il'inskij} and \textit{A. G. Sveshnikov}, Mosc. Univ. Comput. Math. Cybern. 1981, No. 3, 55--64 (1981; Zbl 0478.65036)
Colton, David; Kress, Rainer The impedance boundary value problem for the time harmonic Maxwell equations. (English) Zbl 0475.35029 Math. Methods Appl. Sci. 3, 475-487 (1981). MSC: 35F15 78A40 35R30 35Q99 35J05 35A05 35R25 PDFBibTeX XMLCite \textit{D. Colton} and \textit{R. Kress}, Math. Methods Appl. Sci. 3, 475--487 (1981; Zbl 0475.35029) Full Text: DOI
Collatz, Lothar Differentialgleichungen. Eine Einführung unter besonderer Berücksichtigung der Anwendungen. 6., überarb. u. erw. Aufl. (German) Zbl 0475.34001 Leitfäden der angewandten Mathematik und Mechanik LAMM. 1. Teubner Studienbücher Mathematik. Stuttgart: B. G. Teubner. 287 S., 173 Fig., 75 Aufg. u. Lösungen, zahlr. Beisp. DM 29.80 (1981). MSC: 34-01 34A30 65J99 34A45 65L05 34B10 65L10 34A34 PDFBibTeX XML
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
O’Leary, Dianne P.; Simmons, John A. A bidiagonalization-regularization procedure for large scale discretizations of ill-posed problems. (English) Zbl 0469.65089 SIAM J. Sci. Stat. Comput. 2, 474-489 (1981). MSC: 65R20 65F20 45B05 PDFBibTeX XMLCite \textit{D. P. O'Leary} and \textit{J. A. Simmons}, SIAM J. Sci. Stat. Comput. 2, 474--489 (1981; Zbl 0469.65089) Full Text: DOI
Hofmann, Bernd Die Methode der Quasiinversion als Regularisierungsverfahren im Hilbertraum. (German) Zbl 0457.65040 Beitr. Numer. Math. 9, 105-112 (1981). MSC: 65J10 35G10 35K25 35R25 35R30 47A50 PDFBibTeX XMLCite \textit{B. Hofmann}, Beitr. Numer. Math. 9, 105--112 (1981; Zbl 0457.65040)
Tanana, V. P.; Korshunov, V. A. Choice of regularization parameter in solving incorrect problems. (English) Zbl 0457.65037 Sib. Math. J. 21, 602-607 (1981). MSC: 65J10 47J25 65R20 45B05 PDFBibTeX XMLCite \textit{V. P. Tanana} and \textit{V. A. Korshunov}, Sib. Math. J. 21, 602--607 (1981; Zbl 0457.65037) Full Text: DOI
Imomnazarov, B. On the regularization of operator equations of the first kind in a Hilbert space. (English. Russian original) Zbl 0532.65040 Sov. Math., Dokl. 22, 635-638 (1980); translation from Dokl. Akad. Nauk SSSR 255, 15-17 (1980). Reviewer: C.W.Groetsch MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{B. Imomnazarov}, Sov. Math., Dokl. 22, 635--638 (1980; Zbl 0532.65040); translation from Dokl. Akad. Nauk SSSR 255, 15--17 (1980)
Razumejko, B. G.; Trenogin, V. A. Über eine Regularisierung von Näherungsschemata im Falle einer Fredholmschen Gleichung. (Russian) Zbl 0503.65037 Differ. Uravn. 16, 1132-1134 (1980). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{B. G. Razumejko} and \textit{V. A. Trenogin}, Differ. Uravn. 16, 1132--1134 (1980; Zbl 0503.65037)
Yagola, A. G. On the choice of regularization parameter when solving ill-posed problems in reflexive spaces. (English. Russian original) Zbl 0485.65040 U.S.S.R. Comput. Math. Math. Phys. 20, No. 3, 40-52 (1980); translation from Zh. Vychisl. Mat. Mat. Fiz. 20, 586-596 (1980). MSC: 65J10 PDFBibTeX XMLCite \textit{A. G. Yagola}, U.S.S.R. Comput. Math. Math. Phys. 20, No. 3, 40--52 (1980; Zbl 0485.65040); translation from Zh. Vychisl. Mat. Mat. Fiz. 20, 586--596 (1980) Full Text: DOI
Gaponenko, Yu. L. On a class of equations that are regularizable in the space of continuous functions. (English. Russian original) Zbl 0479.65034 Sov. Math., Dokl. 21, 658-661 (1980); translation from Dokl. Akad. Nauk SSSR 252, 21-24 (1980). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{Yu. L. Gaponenko}, Sov. Math., Dokl. 21, 658--661 (1980; Zbl 0479.65034); translation from Dokl. Akad. Nauk SSSR 252, 21--24 (1980)
Groetsch, C. W. On the Kryanev-Lardy method for ill-posed problems. (English) Zbl 0468.65031 Math. Nachr. 96, 27-31 (1980). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{C. W. Groetsch}, Math. Nachr. 96, 27--31 (1980; Zbl 0468.65031) Full Text: DOI
Rekant, M. A. On a class of methods of solution for ill-posed linear problems in Hilbert space. (English. Russian original) Zbl 0468.65030 Sov. Math. 24, No. 11, 91-94 (1980); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1980, No. 11(222), 77-79 (1980). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{M. A. Rekant}, Sov. Math. 24, No. 11, 91--94 (1980; Zbl 0468.65030); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1980, No. 11(222), 77--79 (1980)
Gukovskij, S. A. Regularization of the construction of a nonsingular solution of a linear equation of the first kind with a degeneracy. (English. Russian original) Zbl 0466.65032 Sov. Math. 24, No. 1, 91-94 (1980); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1980, No. 1, 71-74 (1980). MSC: 65J10 47A50 47A60 PDFBibTeX XMLCite \textit{S. A. Gukovskij}, Sov. Math. 24, No. 1, 91--94 (1980; Zbl 0466.65032); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1980, No. 1, 71--74 (1980)
Igari, Katsuju Cauchy problem for hyperbolic differential operators with double characteristic roots. (English) Zbl 0463.35021 Proc. Japan Acad., Ser. A 56, 67-69 (1980). MSC: 35G10 35L99 35A30 35R25 35L15 PDFBibTeX XMLCite \textit{K. Igari}, Proc. Japan Acad., Ser. A 56, 67--69 (1980; Zbl 0463.35021) Full Text: DOI
Yanushauskas, A. Are boundary-value problems for systems of second-order partial differential equations correctly posed? (English) Zbl 0462.35036 Differ. Equations 16, 109-117 (1980). MSC: 35J55 35R25 PDFBibTeX XMLCite \textit{A. Yanushauskas}, Differ. Equations 16, 109--117 (1980; Zbl 0462.35036)
Meleshko, V. I. On estimates of solutions of ill-posed stochastic algebraic equations. (English. Russian original) Zbl 0459.60056 Sov. Math., Dokl. 21, 61-65 (1980); translation from Dokl. Akad. Nauk SSSR 250, 280-284 (1980). MSC: 60H99 62M09 93E12 15A06 PDFBibTeX XMLCite \textit{V. I. Meleshko}, Sov. Math., Dokl. 21, 61--65 (1980; Zbl 0459.60056); translation from Dokl. Akad. Nauk SSSR 250, 280--284 (1980)
Meleshko, V. I. The solution of ill-posed stochastic algebraic equations. (English) Zbl 0459.60055 U.S.S.R. Comput. Math. Math. Phys. 20, No. 1, 9-27 (1980). MSC: 60H25 62J05 65C99 15A06 PDFBibTeX XMLCite \textit{V. I. Meleshko}, U.S.S.R. Comput. Math. Math. Phys. 20, No. 1, 9--27 (1980; Zbl 0459.60055) Full Text: DOI
Sidorov, N. A.; Trenogin, V. A. Eine Regularisierung linearer Gleichungen auf der Basis der Störungstheorie. (Russian) Zbl 0459.35087 Differ. Uravn. 16, 2039-2049 (1980). MSC: 35R25 35B20 35R20 47A55 47A05 PDFBibTeX XMLCite \textit{N. A. Sidorov} and \textit{V. A. Trenogin}, Differ. Uravn. 16, 2039--2049 (1980; Zbl 0459.35087)
De Hoog, F. R. Review of Fredholm equations of the first kind. (English) Zbl 0457.65082 The application and numerical solution of integral equations, Proc. Conf., Canberra 1978, 119-134 (1980). MSC: 65R20 45B05 65J10 65-02 PDFBibTeX XML
Ageev, A. L. Regularisierung nichtlinearer Operatorgleichungen auf einer Klasse unstetiger Funktionen. (Russian) Zbl 0456.65029 Zh. Vychisl. Mat. Mat. Fiz. 20, 819-826 (1980). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{A. L. Ageev}, Zh. Vychisl. Mat. Mat. Fiz. 20, 819--826 (1980; Zbl 0456.65029)
Abramov, A. A. An elimination method for linear problems. (English) Zbl 0456.65012 U.S.S.R. Comput. Math. Math. Phys. 20, No. 1, 245-250 (1980). MSC: 65F05 65R20 45B05 PDFBibTeX XMLCite \textit{A. A. Abramov}, U.S.S.R. Comput. Math. Math. Phys. 20, No. 1, 245--250 (1980; Zbl 0456.65012) Full Text: DOI
Yanushauskas, A. Theory of multidimensional elliptic systems. (English) Zbl 0453.35027 Sib. Math. J. 21, 312-318 (1980). MSC: 35J45 35R25 35C05 35F05 35J05 PDFBibTeX XMLCite \textit{A. Yanushauskas}, Sib. Math. J. 21, 312--318 (1980; Zbl 0453.35027) Full Text: DOI
Locker, John; Prenter, P. M. Regularization with differential operators. I: General theory. (English) Zbl 0447.65023 J. Math. Anal. Appl. 74, 504-529 (1980). MSC: 65J10 47A50 45A05 65R20 PDFBibTeX XMLCite \textit{J. Locker} and \textit{P. M. Prenter}, J. Math. Anal. Appl. 74, 504--529 (1980; Zbl 0447.65023) Full Text: DOI
Natterer, Frank A Sobolev space analysis of picture reconstruction. (English) Zbl 0446.68077 SIAM J. Appl. Math. 39, 402-411 (1980). MSC: 68T10 45L05 45M10 65R20 47B38 PDFBibTeX XMLCite \textit{F. Natterer}, SIAM J. Appl. Math. 39, 402--411 (1980; Zbl 0446.68077) Full Text: DOI
Vajnikko, G. M. Error estimates of the successive approximation method for ill-posed problems. (English. Russian original) Zbl 0445.65041 Autom. Remote Control 41, 356-363 (1980); translation from Avtom. Telemekh. 1980, No. 3, 84-92 (1980). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{G. M. Vajnikko}, Autom. Remote Control 41, 356--363 (1980; Zbl 0445.65041); translation from Avtom. Telemekh. 1980, No. 3, 84--92 (1980)
Marti, Jürg T. On the numerical stability in solving ill-posed problems. (English) Zbl 0441.65101 Numerische Behandlung von Integralgleichungen, Tag. Oberwolfach 1979, ISNM 53, 171-182 (1980). MSC: 65R20 45B05 65J10 47A50 PDFBibTeX XML
Marti, J. T. On the convergence of an algorithm computing minimum-norm solutions of ill-posed problems. (English) Zbl 0439.65036 Math. Comput. 34, 521-527 (1980). MSC: 65J10 65D25 PDFBibTeX XMLCite \textit{J. T. Marti}, Math. Comput. 34, 521--527 (1980; Zbl 0439.65036) Full Text: DOI
Yanushauskas, A. Zur Theorie mehrdimensionaler elliptischer Systeme. (Russian) Zbl 0435.35033 Sib. Mat. Zh. 21, No. 2, 223-231 (1980). MSC: 35J45 35R25 35C05 35F10 35J05 PDFBibTeX XMLCite \textit{A. Yanushauskas}, Sib. Mat. Zh. 21, No. 2, 223--231 (1980; Zbl 0435.35033)
Savelova, T. I. Regularization of non-linear integral equations of the convolution type. (English) Zbl 0429.45020 U.S.S.R. Comput. Math. Math. Phys. 19, No. 1, 20-27 (1980). MSC: 45L05 65R20 45E10 45G05 PDFBibTeX XMLCite \textit{T. I. Savelova}, U.S.S.R. Comput. Math. Math. Phys. 19, No. 1, 20--27 (1980; Zbl 0429.45020) Full Text: DOI
Tikhonov, A. N.; Arsenin, V. Ya. Methods for the solution of ill-posed problems. (Metody resheniya nekorrektnykh zadach). 2nd ed., rev. and suppl. (Russian) Zbl 0499.65030 Moskva: “Nauka”. 286 p. R. 0.80 (1979). MSC: 65J10 65R20 65-02 47A50 65F10 45E10 PDFBibTeX XML
Menikhes, L. D. On uniform regularization of ill-posed problems. (English. Russian original) Zbl 0478.65034 Sov. Math. 23, No. 11, 34-39 (1979); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1979, No. 11(210), 34-39 (1979). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{L. D. Menikhes}, Sov. Math. 23, No. 11, 34--39 (1979; Zbl 0478.65034); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1979, No. 11(210), 34--39 (1979)
Khajkin, M. I. A system of singular integral equations in the singular case of an ill- posed problem. (English) Zbl 0476.45008 Sov. Math. 23, No. 7, 87-91 (1979). MSC: 45F15 45L05 PDFBibTeX XMLCite \textit{M. I. Khajkin}, Sov. Math. 23, No. 7, 87--91 (1979; Zbl 0476.45008)
Fedotov, A. M. Some inequalities for the errors of approximate solutions of operator equations. (English. Russian original) Zbl 0459.65037 U.S.S.R. Comput. Math. Math. Phys. 19, No. 2, 3-18 (1980); translation from Zh. Vychisl. Mat. Mat. Fiz. 19, 277-291 (1979). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{A. M. Fedotov}, U.S.S.R. Comput. Math. Math. Phys. 19, No. 2, 3--18 (1979; Zbl 0459.65037); translation from Zh. Vychisl. Mat. Mat. Fiz. 19, 277--291 (1979) Full Text: DOI
Ageev, V. L.; Vasin, V. V. 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). MSC: 65J10 47A50 65R20 45B05 PDFBibTeX XML
Leonov, A. S. Choice of regularization parameter for non-linear ill-posed problems with approximately specified operator. (English. Russian original) Zbl 0454.65044 U.S.S.R. Comput. Math. Math. Phys. 19, No. 6, 1-15 (1980); translation from Zh. Vychislit. Mat. Mat. Fiz. 19, 1363-1376 (1979). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{A. S. Leonov}, U.S.S.R. Comput. Math. Math. Phys. 19, No. 6, 1--15 (1979; Zbl 0454.65044); translation from Zh. Vychislit. Mat. Mat. Fiz. 19, 1363--1376 (1979) Full Text: DOI
Berlinkov, V. M. On a method for obtaining error estimates for the solution of ill-posed problems. (English. Russian original) Zbl 0446.65025 Sov. Math. 23, No. 2, 1-3 (1979); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1979, No. 2(201), 3-6 (1979). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{V. M. Berlinkov}, Sov. Math. 23, No. 2, 1--3 (1979; Zbl 0446.65025); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1979, No. 2(201), 3--6 (1979)
Yagola, A. G. A generalized residual principle in reflexive spaces. (English. Russian original) Zbl 0445.65048 Sov. Math., Dokl. 20, 1237-1240 (1979); translation from Dokl. Akad. Nauk SSSR 249, 71-73 (1979). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{A. G. Yagola}, Sov. Math., Dokl. 20, 1237--1240 (1979; Zbl 0445.65048); translation from Dokl. Akad. Nauk SSSR 249, 71--73 (1979)
Meleshko, V. I. On properties of pseudoinverse operators in Banach spaces. (English. Russian original) Zbl 0442.65037 Sov. Math., Dokl. 20, 1383-1387 (1979); translation from Dokl. Akad. Nauk SSSR 249, 1055-1059 (1979). MSC: 65J10 47A05 47A50 PDFBibTeX XMLCite \textit{V. I. Meleshko}, Sov. Math., Dokl. 20, 1383--1387 (1979; Zbl 0442.65037); translation from Dokl. Akad. Nauk SSSR 249, 1055--1059 (1979)
Ewing, Richard E.; Falk, Richard S. Numerical approximation of a Cauchy problem for a parabolic partial differential equation. (English) Zbl 0439.65093 Math. Comput. 33, 1125-1144 (1979). MSC: 65N30 65M30 35K20 65N15 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{R. S. Falk}, Math. Comput. 33, 1125--1144 (1979; Zbl 0439.65093) Full Text: DOI
Alifanov, O. M.; Rumyantsev, S. V. On the stability of iterative methods for the solution of linear ill- posed problems. (English. Russian original) Zbl 0439.65042 Sov. Math., Dokl. 20, 1133-1136 (1979); translation from Dokl. Akad. Nauk SSSR 248, 1289-1291 (1979). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{O. M. Alifanov} and \textit{S. V. Rumyantsev}, Sov. Math., Dokl. 20, 1133--1136 (1979; Zbl 0439.65042); translation from Dokl. Akad. Nauk SSSR 248, 1289--1291 (1979)
Imomnazarov, B. Regularization of equations of the first kind with abstract Volterra operator. (English. Russian original) Zbl 0439.65041 Sov. Math., Dokl. 20, 642-645 (1979); translation from Dokl. Akad. Nauk SSSR 247, 25-29 (1979). MSC: 65J10 47B06 45N05 45D05 PDFBibTeX XMLCite \textit{B. Imomnazarov}, Sov. Math., Dokl. 20, 642--645 (1979; Zbl 0439.65041); translation from Dokl. Akad. Nauk SSSR 247, 25--29 (1979)
Ewing, Richard E. The Cauchy problem for a linear parabolic partial differential equation. (English) Zbl 0435.35083 J. Math. Anal. Appl. 71, 167-186 (1979). MSC: 35R25 35K10 35K20 65M30 PDFBibTeX XMLCite \textit{R. E. Ewing}, J. Math. Anal. Appl. 71, 167--186 (1979; Zbl 0435.35083) Full Text: DOI