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Kaplan, Aleksander A.

Author ID: kaplan.aleksander-a Recent zbMATH articles by "Kaplan, Aleksander A."
Published as: Kaplan, A. A.; Kaplan, A.; Kaplan, Alexander; Kaplan, Aleksander A.
External Links: MGP
Documents Indexed: 98 Publications since 1966, including 3 Books
Co-Authors: 17 Co-Authors with 56 Joint Publications
378 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 277 times in 189 Documents Cited by Year
Proximal point methods and nonconvex optimization. Zbl 0916.90224
Kaplan, A.; Tichatschke, R.
50
1998
Stable methods for ill-posed variational problems: prox-regularization of elliptic variational inequalities and semi-infinite problems. Zbl 0804.49011
Kaplan, Alexander; Tichatschke, Rainer
32
1994
On inexact generalized proximal methods with a weakened error tolerance criterion. Zbl 1068.65064
Kaplan, A.; Tichatschke, R.
18
2004
Note on the paper: Interior proximal method for variational inequalities on non-polyhedral sets. Zbl 1214.47063
Kaplan, Alexander; Tichatschke, Rainer
13
2010
On a class of terminal variational problems. Zbl 0885.49018
Kaplan, A.; Tichatschke, R.
12
1997
Proximal point approach and approximation of variational inequalities. Zbl 0997.47053
Kaplan, A.; Tichatschke, R.
10
2000
On a convex programming method with internal regularization. Zbl 0423.90061
Kaplan, A. A.
9
1978
A general view on proximal point methods to variational inequalities in Hilbert spaces – iterative regularization and approximation. Zbl 0996.65066
Kaplan, A.; Tichatschke, R.
8
2001
On the numerical treatment of a class of semi-infinite terminal problems. Zbl 0872.49013
Kaplan, A.; Tichatschke, R.
7
1997
Nonlinear programming on the basis of unconditional minimization. (Nelinejnoe programmirovanie na osnove bezuslovnoj minimizatsii). Zbl 0536.90075
Großmann, K.; Kaplan, A. A.
7
1981
Proximal interior point method for convex semi-infinite programming. Zbl 1099.90593
Kaplan, A.; Tichatschke, R.
7
2001
Strafmethoden und modifizierte Lagrange Funktionen in der nichtlinearen Optimierung. Zbl 0425.65035
Großmann, Christian; Kaplan, Aleksander A.
7
1979
Bregman-like functions and proximal methods for variational problems with nonlinear constraints. Zbl 1133.49010
Kaplan, A.; Tichatschke, R.
7
2007
Proximal methods in view of interior-point strategies. Zbl 0908.90210
Kaplan, A.; Tichatschke, R.
6
1998
Multi-states on \(C^*\)-algebras. Zbl 0696.46047
Kaplan, Alexander
6
1989
Convergence analysis of non-quadratic proximal methods for variational inequalities in Hilbert spaces. Zbl 1047.49005
Kaplan, Alexander; Tichatschke, Rainer
6
2002
Variational inequalities and convex semi-infinite programming problems. Zbl 0814.65067
Kaplan, A. A.; Tichatschke, R.
4
1992
A regularized penalty method for solving convex semi-infinite programs. Zbl 0814.65068
Kaplan, A. A.; Tichatschke, R.
4
1992
Numerical treatment of an asset price model with non-stochastic uncertainty. (With comments and rejoinder). Zbl 1050.91051
Tichatschke, R.; Kaplan, A.; Voetmann, T.; Böhm, M.
4
2002
Prox-regularization and solution of ill-posed elliptic variational inequalities. Zbl 0899.35040
Kaplan, A.; Tichatschke, R.
4
1997
Interior proximal method for variational inequalities: Case of nonparamonotone operators. Zbl 1072.65093
Kaplan, A.; Tichatschke, R.
4
2004
On the solution of discretized obstacle problems by an adapted penalty method. Zbl 0569.65050
Grossmann, C.; Kaplan, A. A.
3
1985
Interior proximal method for variational inequalities on non-polyhedral sets. Zbl 1158.47052
Kaplan, Alexander; Tichatschke, Rainer
3
2007
Regularized penalty methods for ill-posed optimal control problems with elliptic equations. I: Distributed control with bounded control set and state constraints. Zbl 0871.49029
Hettich, R.; Kaplan, A.; Tichatschke, R.
3
1997
Regularized penalty methods for ill-posed optimal control problems with elliptic equations. II: Distributed and boundary control with unbounded control set and state constraints. Zbl 0871.49030
Hettich, R.; Kaplan, A.; Tichatschke, R.
3
1997
Proximal interior point approach in convex programming. (Ill-posed problems). Zbl 1111.90367
Kaplan, A.; Tichatschke, R.
3
1999
Dynamic analysis of large systems by complex mode synthesis. Zbl 0313.93002
Hasselman, T. K.; Kaplan, A.
3
1974
Extended auxiliary problem principle using Bregman distances. Zbl 1153.49303
Kaplan, A.; Tichatschke, R.
3
2004
Proximal point method and elliptic regularization. Zbl 1214.47062
Kaplan, A.; Tichatschke, R.
3
2009
Stable approximation schemes for ill-posed convex variational problems. Zbl 0849.49012
Kaplan, A.; Tichatschke, R.
3
1992
Multi-step-prox-regularization method for solving convex variational problems. Zbl 0820.65035
Kaplan, A.; Tichatschke, R.
2
1995
Regularized penalty methods for semi-infinite programming problems. Zbl 0839.90128
Kaplan, A.; Tichatschke, R.
2
1993
A study of iterative processes for the solution of ill-posed convex variational problems. Zbl 0739.49007
Kaplan, A.; Tichatschke, R.
2
1990
Convex programming algorithms using smoothing of exact penalty functions. Zbl 0507.90073
Kaplan, A. A.
2
1983
On stability of solution methods for problems of convex programming and variational inequalities. Zbl 0671.49037
Kaplan, A. A.
2
1988
On the convergence of methods of solving variational inequalities with weakly coercive operators. Zbl 0749.65038
Kaplan, A. A.
2
1990
Stable solution of variational inequalities with composed monotone operators. Zbl 0944.65079
Kaplan, A.; Tichatschke, R.
2
1999
Determination of the extremum of a linear function on a convex set. Zbl 0186.23704
Kaplan, A. A.
2
1968
Some results about proximal-like methods. Zbl 1109.47311
Kaplan, A.; Tichatschke, R.
2
2006
Characteristic properties of penalty functions. Zbl 0285.90065
Kaplan, A. A.
2
1973
Extended auxiliary problem principle to variational inequalities involving multi-valued operators. Zbl 1144.90509
Kaplan, A.; Tichatschke, R.
2
2004
Proximal-based regularization methods and successive approximation of variational inequalities in Hilbert spaces. Zbl 1125.49302
Kaplan, Alexander; Tichatschke, Rainer
2
2002
On the rate of convergence of sequential unconstrained minimization techniques. Zbl 0526.65043
Grossmann, Ch.; Kaplan, A. A.
2
1983
Convergence rate estimates for regularized methods of solving variational problems. Zbl 0825.65054
Kaplan, A. A.
1
1989
Path-following proximal approach for solving ill-posed convex semi-infinite programming problems. Zbl 0866.90129
Kaplan, A.; Tichatschke, R.
1
1996
Iteration processes of convex programming with internal regularization. Zbl 0459.90070
Kaplan, A. A.
1
1979
Convex programming algorithms using the smoothing of exact penalty functions. Zbl 0498.90066
Kaplan, A. A.
1
1982
Iterative Prozesse der konvexen Programmierung mit innerer Regularisierung. Zbl 0412.90056
Kaplan, A. A.
1
1979
Bregman functions and auxiliary problem principle. Zbl 1202.47066
Kaplan, A.; Tichatschke, R.
1
2008
Iterative processes for solving incorrect convex variational problems. Zbl 0781.65055
Kaplan, A.; Tichatschke, R.
1
1993
Covariant completely positive maps and liftings. Zbl 0796.46042
Kaplan, Alexander
1
1993
Auxiliary problem principle and the approximation of variational inequalities with non-symmetric multi-valued operators. Zbl 0972.90089
Kaplan, A.; Tichatschke, R.
1
2000
Note on the paper: Interior proximal method for variational inequalities on non-polyhedral sets. Zbl 1214.47063
Kaplan, Alexander; Tichatschke, Rainer
13
2010
Proximal point method and elliptic regularization. Zbl 1214.47062
Kaplan, A.; Tichatschke, R.
3
2009
Bregman functions and auxiliary problem principle. Zbl 1202.47066
Kaplan, A.; Tichatschke, R.
1
2008
Bregman-like functions and proximal methods for variational problems with nonlinear constraints. Zbl 1133.49010
Kaplan, A.; Tichatschke, R.
7
2007
Interior proximal method for variational inequalities on non-polyhedral sets. Zbl 1158.47052
Kaplan, Alexander; Tichatschke, Rainer
3
2007
Some results about proximal-like methods. Zbl 1109.47311
Kaplan, A.; Tichatschke, R.
2
2006
On inexact generalized proximal methods with a weakened error tolerance criterion. Zbl 1068.65064
Kaplan, A.; Tichatschke, R.
18
2004
Interior proximal method for variational inequalities: Case of nonparamonotone operators. Zbl 1072.65093
Kaplan, A.; Tichatschke, R.
4
2004
Extended auxiliary problem principle using Bregman distances. Zbl 1153.49303
Kaplan, A.; Tichatschke, R.
3
2004
Extended auxiliary problem principle to variational inequalities involving multi-valued operators. Zbl 1144.90509
Kaplan, A.; Tichatschke, R.
2
2004
Convergence analysis of non-quadratic proximal methods for variational inequalities in Hilbert spaces. Zbl 1047.49005
Kaplan, Alexander; Tichatschke, Rainer
6
2002
Numerical treatment of an asset price model with non-stochastic uncertainty. (With comments and rejoinder). Zbl 1050.91051
Tichatschke, R.; Kaplan, A.; Voetmann, T.; Böhm, M.
4
2002
Proximal-based regularization methods and successive approximation of variational inequalities in Hilbert spaces. Zbl 1125.49302
Kaplan, Alexander; Tichatschke, Rainer
2
2002
A general view on proximal point methods to variational inequalities in Hilbert spaces – iterative regularization and approximation. Zbl 0996.65066
Kaplan, A.; Tichatschke, R.
8
2001
Proximal interior point method for convex semi-infinite programming. Zbl 1099.90593
Kaplan, A.; Tichatschke, R.
7
2001
Proximal point approach and approximation of variational inequalities. Zbl 0997.47053
Kaplan, A.; Tichatschke, R.
10
2000
Auxiliary problem principle and the approximation of variational inequalities with non-symmetric multi-valued operators. Zbl 0972.90089
Kaplan, A.; Tichatschke, R.
1
2000
Proximal interior point approach in convex programming. (Ill-posed problems). Zbl 1111.90367
Kaplan, A.; Tichatschke, R.
3
1999
Stable solution of variational inequalities with composed monotone operators. Zbl 0944.65079
Kaplan, A.; Tichatschke, R.
2
1999
Proximal point methods and nonconvex optimization. Zbl 0916.90224
Kaplan, A.; Tichatschke, R.
50
1998
Proximal methods in view of interior-point strategies. Zbl 0908.90210
Kaplan, A.; Tichatschke, R.
6
1998
On a class of terminal variational problems. Zbl 0885.49018
Kaplan, A.; Tichatschke, R.
12
1997
On the numerical treatment of a class of semi-infinite terminal problems. Zbl 0872.49013
Kaplan, A.; Tichatschke, R.
7
1997
Prox-regularization and solution of ill-posed elliptic variational inequalities. Zbl 0899.35040
Kaplan, A.; Tichatschke, R.
4
1997
Regularized penalty methods for ill-posed optimal control problems with elliptic equations. I: Distributed control with bounded control set and state constraints. Zbl 0871.49029
Hettich, R.; Kaplan, A.; Tichatschke, R.
3
1997
Regularized penalty methods for ill-posed optimal control problems with elliptic equations. II: Distributed and boundary control with unbounded control set and state constraints. Zbl 0871.49030
Hettich, R.; Kaplan, A.; Tichatschke, R.
3
1997
Path-following proximal approach for solving ill-posed convex semi-infinite programming problems. Zbl 0866.90129
Kaplan, A.; Tichatschke, R.
1
1996
Multi-step-prox-regularization method for solving convex variational problems. Zbl 0820.65035
Kaplan, A.; Tichatschke, R.
2
1995
Stable methods for ill-posed variational problems: prox-regularization of elliptic variational inequalities and semi-infinite problems. Zbl 0804.49011
Kaplan, Alexander; Tichatschke, Rainer
32
1994
Regularized penalty methods for semi-infinite programming problems. Zbl 0839.90128
Kaplan, A.; Tichatschke, R.
2
1993
Iterative processes for solving incorrect convex variational problems. Zbl 0781.65055
Kaplan, A.; Tichatschke, R.
1
1993
Covariant completely positive maps and liftings. Zbl 0796.46042
Kaplan, Alexander
1
1993
Variational inequalities and convex semi-infinite programming problems. Zbl 0814.65067
Kaplan, A. A.; Tichatschke, R.
4
1992
A regularized penalty method for solving convex semi-infinite programs. Zbl 0814.65068
Kaplan, A. A.; Tichatschke, R.
4
1992
Stable approximation schemes for ill-posed convex variational problems. Zbl 0849.49012
Kaplan, A.; Tichatschke, R.
3
1992
A study of iterative processes for the solution of ill-posed convex variational problems. Zbl 0739.49007
Kaplan, A.; Tichatschke, R.
2
1990
On the convergence of methods of solving variational inequalities with weakly coercive operators. Zbl 0749.65038
Kaplan, A. A.
2
1990
Multi-states on \(C^*\)-algebras. Zbl 0696.46047
Kaplan, Alexander
6
1989
Convergence rate estimates for regularized methods of solving variational problems. Zbl 0825.65054
Kaplan, A. A.
1
1989
On stability of solution methods for problems of convex programming and variational inequalities. Zbl 0671.49037
Kaplan, A. A.
2
1988
On the solution of discretized obstacle problems by an adapted penalty method. Zbl 0569.65050
Grossmann, C.; Kaplan, A. A.
3
1985
Convex programming algorithms using smoothing of exact penalty functions. Zbl 0507.90073
Kaplan, A. A.
2
1983
On the rate of convergence of sequential unconstrained minimization techniques. Zbl 0526.65043
Grossmann, Ch.; Kaplan, A. A.
2
1983
Convex programming algorithms using the smoothing of exact penalty functions. Zbl 0498.90066
Kaplan, A. A.
1
1982
Nonlinear programming on the basis of unconditional minimization. (Nelinejnoe programmirovanie na osnove bezuslovnoj minimizatsii). Zbl 0536.90075
Großmann, K.; Kaplan, A. A.
7
1981
Strafmethoden und modifizierte Lagrange Funktionen in der nichtlinearen Optimierung. Zbl 0425.65035
Großmann, Christian; Kaplan, Aleksander A.
7
1979
Iteration processes of convex programming with internal regularization. Zbl 0459.90070
Kaplan, A. A.
1
1979
Iterative Prozesse der konvexen Programmierung mit innerer Regularisierung. Zbl 0412.90056
Kaplan, A. A.
1
1979
On a convex programming method with internal regularization. Zbl 0423.90061
Kaplan, A. A.
9
1978
Dynamic analysis of large systems by complex mode synthesis. Zbl 0313.93002
Hasselman, T. K.; Kaplan, A.
3
1974
Characteristic properties of penalty functions. Zbl 0285.90065
Kaplan, A. A.
2
1973
Determination of the extremum of a linear function on a convex set. Zbl 0186.23704
Kaplan, A. A.
2
1968
all top 5

Cited by 251 Authors

18 Tichatschke, Rainer
17 Kaplan, Aleksander A.
11 Oliveira, Paulo Roberto
9 Stein, Oliver
8 Konnov, Igor V.
8 Langenberg, Nils
6 Soubeyran, Antoine
5 Grossmann, Christian
5 Gwinner, Joachim
5 Rückmann, Jan-Joachim
5 Still, Georg J.
4 Bento, Glaydston C.
4 Gugat, Martin
4 Iusem, Alfredo Noel
4 Papa Quiroz, Erik Alex
4 Zaslavski, Alexander Yakovlevich
3 da Cruz Neto, João Xavier
3 Ferreira, Orizon Pereira
3 Jongen, Hubertus Th.
3 Khan, Akhtar Ali
3 López-Cerdá, Marco Antonio
3 Namm, Robert Viktorovich
3 Souza, João Carlos O.
2 Attouch, Hedy
2 Auslender, Alfred
2 Azhmyakov, Vadim
2 Chouzenoux, Emilie
2 Corbineau, Marie-Caroline
2 Crouzeix, Jean-Pierre
2 de Pierro, Alvaro Rodolfo
2 Dong, Yunda
2 Gárciga Otero, Rolando
2 Goberna, Miguel Angel
2 Hofmann, Bernd
2 Jadamba, Baasansuren
2 Klatte, Diethard
2 Kummer, Bernd
2 Lara, Felipe
2 Mallea-Zepeda, Exequiel
2 Marcavillaca, Raul T.
2 Moudafi, Abdellatif
2 Oberman, Adam M.
2 Ovcharova, Nina
2 Peng, Zheng
2 Pesquet, Jean-Christophe
2 Quiroz, Erik A. Papa
2 Raisch, Jörg
2 Reem, Daniel
2 Santos, Paulo Sérgio M.
2 Sazhenkov, Sergeĭ Aleksandrovich
2 Sazhenkova, Tat’yana Vladimirovna
2 Scheimberg, Susana
2 Shapiro, Alexander
2 Strodiot, Jean-Jacques
2 Tammer, Christiane
2 Tossings, Patricia
2 Tsoukalas, Angelos
2 Vikhtenko, Eh. M.
2 Weber, Gerhard-Wilhelm
2 Winkler, Brian C.
1 Acuña, S. Cruzado
1 Addou, Ahmed
1 Akhmet, Marat Ubaydulla
1 Alber, Yakov I.
1 Alvarez, Felipe
1 Aragón Artacho, Francisco Javier
1 Attia, Sid Ahmed
1 Barbagallo, Annamaria
1 Basin, Michael V.
1 Bento, de Carvalho Glaydston
1 Bento, Glaydston de Carvalho
1 Bertocchi, Carla
1 Bnouhachem, Abdellah
1 Böhmer, Klaus
1 Boikanyo, Oganeditse Aaron
1 Boldrini, José Luiz
1 Bolte, Jérôme
1 Bredies, Kristian
1 Butnariu, Dan
1 Carrasco, Miguel Angel
1 Cerulli, Martina
1 Chalabi, Zaid S.
1 Champion, Thierry
1 Chen, Bintong
1 Chen, Homing
1 Chen, Jianli
1 Cominetti, Roberto
1 Cruzado, S.
1 Cui, Wei
1 D’Ambrosio, Claudia
1 de Meireles, Lucas Vidal
1 Demyanov, Vladimir Fedorovich
1 Deng, Kangkang
1 Ding, Mingfang
1 Djafari Rouhani, Behzad
1 Júnior, E. L. Dias
1 Ellner, Paul M.
1 Elwan, Eman R.
1 Emmrich, Etienne
1 Fedit, P.
...and 151 more Authors
all top 5

Cited in 66 Serials

25 Optimization
21 Journal of Optimization Theory and Applications
15 Journal of Global Optimization
10 European Journal of Operational Research
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Computational Optimization and Applications
5 Numerical Functional Analysis and Optimization
5 Mathematical Programming. Series A. Series B
5 Optimization Methods & Software
5 Optimization Letters
4 Journal of Computational and Applied Mathematics
4 Russian Mathematics
4 Set-Valued and Variational Analysis
2 Inverse Problems
2 Applied Mathematics and Computation
2 Numerische Mathematik
2 Bulletin of the Iranian Mathematical Society
2 Annals of Operations Research
2 Applications of Mathematics
2 SIAM Journal on Optimization
2 Journal of Mathematical Imaging and Vision
2 Set-Valued Analysis
2 Journal of Inverse and Ill-Posed Problems
2 Top
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Optimization and Engineering
2 Lobachevskii Journal of Mathematics
2 RAIRO. Operations Research
2 Journal of Industrial and Management Optimization
1 Computers & Mathematics with Applications
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Applied Mathematics and Optimization
1 Computing
1 Journal of Statistical Planning and Inference
1 Kybernetika
1 Mathematical Programming
1 Siberian Mathematical Journal
1 Stochastic Analysis and Applications
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Journal of Scientific Computing
1 Discrete Event Dynamic Systems
1 Computational and Applied Mathematics
1 Journal of Applied Analysis
1 Mathematical Methods of Operations Research
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
1 Communications in Contemporary Mathematics
1 The ANZIAM Journal
1 Journal of Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Fixed Point Theory
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Nonlinear Analysis. Hybrid Systems
1 Journal of Nonlinear Science and Applications
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Journal of the Operations Research Society of China
1 Journal of Dynamics and Games
1 Journal of Mathematics
1 Discontinuity, Nonlinearity, and Complexity
1 Journal of Mathematical Modeling
1 Matematicheskie Zametki SVFU
1 Advances in Operator Theory

Citations by Year