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Dontchev, Asen L.

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Author ID: dontchev.asen-l Recent zbMATH articles by "Dontchev, Asen L."
Published as: Dontchev, A. L.; Dontchev, Asen L.; Donchev, A. L.; Dontchev, A.; Donchev, Asen L.; Dontchev, Asen; Donchev, Asen; Doncev, A. L.; Doncev, Asen
Homepage: https://sites.google.com/site/adontchev/
External Links: MGP · ORCID · ResearchGate · dblp · GND
Documents Indexed: 164 Publications since 1973, including 10 Books
Reviewing Activity: 126 Reviews
Biographic References: 2 Publications
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Serials

14 SIAM Journal on Control and Optimization
10 Doklady Bolgarskoĭ Akademii Nauk
8 Control and Cybernetics
7 Mathematical Programming. Series A. Series B
6 Journal of Convex Analysis
5 Journal of Mathematical Analysis and Applications
5 Set-Valued Analysis
4 Numerical Functional Analysis and Optimization
4 Systems & Control Letters
4 Serdica
4 SIAM Journal on Optimization
4 Set-Valued and Variational Analysis
3 Archiwum Automatyki i Telemechaniki
3 IEEE Transactions on Automatic Control
3 Journal of Optimization Theory and Applications
3 Proceedings of the American Mathematical Society
2 SIAM Journal on Numerical Analysis
2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Techniques
2 Computational Optimization and Applications
2 IFIP, International Federation for Information Processing
1 Godshnik na Visshite Uchebni Zavedeniya. Prilozhna Matematika
1 Journal of Applied Mathematics and Mechanics
1 Mathematics of Computation
1 Applied Mathematics and Optimization
1 Computing
1 Journal of Approximation Theory
1 Mathematics of Operations Research
1 Mathematische Operationsforschung und Statistik. Series Optimization
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerische Mathematik
1 Problemi na Tekhnicheskata Kibernetika
1 Soviet Mathematics. Doklady
1 Teoretichna i Prilozhna Mekhanika
1 Transactions of the American Mathematical Society
1 PLISKA. Studia Mathematica Bulgarica
1 Optimization
1 Constructive Approximation
1 Mathematica Balkanica. New Series
1 MCSS. Mathematics of Control, Signals, and Systems
1 Izvestiya Akademii Nauk BSSR. Seriya Fiziko-Matematicheskikh Nauk
1 SIAM Review
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Serdica Mathematical Journal
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Vietnam Journal of Mathematics
1 Rendiconti di Matematica, VI. Serie
1 Lecture Notes in Control and Information Sciences
1 Lecture Notes in Mathematics
1 Chapman & Hall/CRC Research Notes in Mathematics
1 Applied and Computational Mathematics
1 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika
1 Nonlinear Analysis. Theory, Methods & Applications
1 Springer Monographs in Mathematics
1 Springer Series in Operations Research and Financial Engineering

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 2,045 times in 1,193 Documents Cited by Year
Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001
Dontchev, Asen L.; Rockafellar, R. Tyrrell
218
2009
Well-posed optimization problems. Zbl 0797.49001
Dontchev, Asen L.; Zolezzi, Tullio
190
1993
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
134
1996
Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003
Dontchev, Asen L.; Rockafellar, R. Tyrrell
96
2014
Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021
Dontchev, A. L.; Rockafellar, R. T.
90
2004
Difference methods for differential inclusions: A survey. Zbl 0757.34018
Dontchev, Asen; Lempio, Frank
87
1992
The radius of metric regularity. Zbl 1042.49026
Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T.
84
2003
Second-order Runge-Kutta approximations in control constrained optimal control. Zbl 0968.49022
Dontchev, A. L.; Hager, William W.; Veliov, Vladimir M.
64
2000
An inverse mapping theorem for set-valued maps. Zbl 0804.49021
Dontchev, A. L.; Hager, W. W.
53
1994
Lipschitzian stability in nonlinear control and optimization. Zbl 0779.49032
Dontchev, Asen L.; Hager, William W.
49
1993
Robinson’s implicit function theorem and its extensions. Zbl 1172.49013
Dontchev, A. L.; Rockafellar, R. T.
48
2009
The Euler approximation in state constrained optimal control. Zbl 0987.49017
Dontchev, A. L.; Hager, William W.
47
2001
Error estimates for discretized differential inclusions. Zbl 0667.65067
Dontchev, A. L.; Farkhi, E. M.
40
1989
Perturbations, approximations and sensitivity analysis of optimal control systems. Zbl 0512.49001
Dontchev, A. L.
38
1983
Optimality, stability, and convergence in nonlinear control. Zbl 0821.49022
Dontchev, A. L.; Hager, W. W.; Poore, A. B.; Yang, Bing
35
1995
Metric regularity of semi-infinite constraint systems. Zbl 1093.90066
Cánovas, M. J.; Dontchev, A. L.; López, M. A.; Parra, J.
35
2005
The Graves theorem revisited. Zbl 0867.46036
Dontchev, Asen L.
34
1996
Aubin criterion for metric regularity. Zbl 1098.49018
Dontchev, A. L.; Quincampoix, M.; Zlateva, N.
33
2006
Implicit functions, Lipschitz maps, and stability in optimization. Zbl 0835.49019
Dontchev, Asen L.; Hager, William W.
32
1994
Local convergence of the Newton method for generalized equations. Zbl 0844.47034
Dontchev, Asen L.
32
1996
Error bounds for Euler approximation of a state and control constrained optimal control problem. Zbl 0969.49013
Dontchev, A. L.; Hager, W. W.; Malanowski, K.
26
2000
Lyusternik-Graves theorem and fixed points. Zbl 1211.49023
Dontchev, Asen L.; Frankowska, Hélène
23
2011
Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024
Dontchev, A. L.; Rockafellar, R. T.
22
2010
Singular perturbation in Mayer’s problem for linear systems. Zbl 0519.49002
Dontchev, A. L.; Veliov, V. M.
20
1983
Local analysis of a Newton-type method based on partial linearization. Zbl 0856.65064
Dontchev, A. L.
20
1996
Uniform convergence of the Newton method for Aubin continuous maps. Zbl 0865.90115
Dontchev, Asen L.
20
1996
Lipschitzian stability for state constrained nonlinear optimal control. Zbl 0917.49025
Dontchev, A. L.; Hager, W. W.
18
1998
Convergence of inexact Newton methods for generalized equations. Zbl 1272.49047
Dontchev, A. L.; Rockafellar, R. T.
16
2013
Metric regularity of Newton’s iteration. Zbl 1218.49024
Aragón Artacho, F. J.; Dontchev, A. L.; Gaydu, M.; Geoffroy, M. H.; Veliov, V. M.
16
2011
Uniform convergence and mesh independence of Newton’s method for discretized variational problems. Zbl 0979.49023
Dontchev, A. L.; Hager, W. W.; Veliov, V. M.
16
2000
Ample parameterization of variational inclusions. Zbl 1008.49009
Dontchev, A. L.; Rockafellar, R. T.
16
2001
Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146
Dontchev, A. L.; Rockafellar, R. T.
16
1997
Strong metric subregularity of mappings in variational analysis and optimization. Zbl 1376.49048
Cibulka, R.; Dontchev, A. L.; Kruger, A. Y.
15
2018
Characterizations of Lipschitz stability in optimization. Zbl 0856.49019
Dontchev, A. L.
15
1995
Convergence of the proximal point method for metrically regular mappings. Zbl 1235.90180
Aragón Artacho, F. J.; Dontchev, A. L.; Geoffroy, M. H.
14
2007
Implicit function theorems for generalized equations. Zbl 0843.49010
Dontchev, Asen L.
12
1995
Convergence of Newton’s method for convex best interpolation. Zbl 0970.65009
Dontchev, Asen L.; Qi, Houduo; Qi, Liqun
12
2001
A Tikhonov-type theorem for singularly perturbed differential inclusions. Zbl 0852.34058
Dontchev, A.; Donchev, Tz.; Slavov, I.
12
1996
Inexact Newton methods and Dennis-Moré theorems for nonsmooth generalized equations. Zbl 1321.49044
Cibulka, R.; Dontchev, A.; Geoffroy, M. H.
12
2015
Local convergence of quasi-Newton methods under metric regularity. Zbl 1320.90106
Aragón Artacho, F. J.; Belyakov, A.; Dontchev, A. L.; López, M.
12
2014
Perturbations and metric regularity. Zbl 1086.49020
Dontchev, A. L.; Lewis, A. S.
11
2005
A new approach to Lipschitz continuity in state constrained optimal control. Zbl 0988.49017
Dontchev, A. L.; Hager, William W.
11
1998
Quadratic convergence of Newton’s method for convex interpolation and smoothing. Zbl 1014.65011
Dontchev, Asen L.; Qi, Houduo; Qi, Liqun
10
2003
Lyusternik-Graves theorem and fixed points II. Zbl 1264.49016
Dontchev, Asen L.; Frankowska, Hélène
10
2012
Best interpolation in a strip. Zbl 0781.41001
Dontchev, A. L.
9
1993
On the regularity of the Kuhn-Tucker curve. Zbl 0598.90086
Dontchev, A. L.; Jongen, H. Th.
9
1986
On the Bartle-Graves theorem. Zbl 1017.49021
Borwein, J. M.; Dontchev, A. L.
9
2003
Generalizations of the Dennis-Moré theorem. Zbl 1255.49028
Dontchev, Asen L.
9
2012
Metrically regular differential generalized equations. Zbl 1383.49046
Cibulka, R.; Dontchev, A.; Krastanov, M. I.; Veliov, V. M.
8
2018
A characterization of Lipschitzian stability in optimal control. Zbl 0970.49021
Dontchev, A. L.; Malanowski, K.
8
2000
Discrete approximations in optimal control. Zbl 0887.49026
Dontchev, A. L.
8
1996
A Newton method for shape-preserving spline interpolation. Zbl 1027.41016
Dontchev, Asen L.; Qi, Hou-Duo; Qi, Liqun; Yin, Hongxia
8
2002
Duality and well-posedness in convex interpolation. Zbl 0661.41004
Dontchev, A. L.; Kalchev, B. D.
8
1989
An Euler-Newton continuation method for tracking solution trajectories of parametric variational inequalities. Zbl 1272.49012
Dontchev, A. L.; Krastanov, M. I.; Rockafellar, R. T.; Veliov, V. M.
7
2013
On one-sided Lipschitz stability of set-valued contractions. Zbl 1311.47064
Adly, S.; Dontchev, A. L.; Théra, M.
7
2014
Convergence of the solution of the linear singularly perturbed problem of time-optimal response. Zbl 0442.49006
Gichev, T. R.; Donchev, A. L.
7
1979
Error estimates for a discrete approximation to constrained control problems. Zbl 0469.65045
Dontchev, Asen L.
7
1981
Metric regularity under approximations. Zbl 1236.49071
Veliov, V.; Dontchev, A.
6
2009
An a priori estimate for discrete approximations in nonlinear optimal control. Zbl 0851.49023
Dontchev, Asen L.
6
1996
Lyusternik-Graves theorems for the sum of a Lipschitz function and a set-valued mapping. Zbl 1372.47070
Cibulka, R.; Dontchev, A.; Veliov, V. M.
5
2016
Kantorovich-type theorems for generalized equations. Zbl 1393.49021
Cibulka, Radek; Dontchev, Asen L.; Preininger, Jakob; Roubal, T.; Veliov, Vladimir
5
2018
Singular perturbations in infinite-dimensional control systems. Zbl 1051.93067
Donchev, T. D.; Dontchev, A. L.
5
2003
A local selection theorem for metrically regular mappings. Zbl 1078.49017
Dontchev, A. L.
5
2004
Isolated calmness of solution mappings in convex semi-infinite optimization. Zbl 1163.49028
Cánovas, M. J.; Dontchev, A. L.; López, M. A.; Parra, J.
5
2009
The weak Ekeland variational principle and fixed points. Zbl 1285.49011
Beer, Gerald; Dontchev, Asen L.
4
2014
A nonsmooth Robinson’s inverse function theorem in Banach spaces. Zbl 1337.49022
Cibulka, R.; Dontchev, A. L.
4
2016
On quantitative stability in optimization and optimal control. Zbl 0967.49013
Dontchev, A. L.; Hager, W. W.; Malanowski, K.; Veliov, V. M.
4
2000
Duality methods for constrained best interpolation. Zbl 0655.41006
Dontchev, Asen L.
4
1987
Upper semicontinuity of solutions of singularly perturbed differential inclusions. Zbl 0706.49012
Dontchev, A. L.; Slavov, I. I.
4
1990
Parametric stability of solutions in models of economic equilibrium. Zbl 1256.49021
Dontchev, Asen L.; Rockafellar, Ralph Tyrrell
4
2012
Singular perturbation in optimal control problems with fixed final state. Zbl 0402.49030
Gicev, T. R.; Dontchev, A. L.
3
1978
Robinson’s strong regularity implies robust local convergence of Newton’s method. Zbl 0910.49012
Dokov, S. P.; Dontchev, A. L.
3
1998
On regularity of optimal control. Zbl 0838.49017
Dontchev, Asen L.; Kolmanovsky, Ilya
3
1995
Convex singularly perturbed optimal control problem with fixed final state. Controllability and convergence. Zbl 0435.49039
Dontchev, Asen L.; Gicev, Todor R.
3
1979
Relaxation and well-posedness of nonlinear optimal processes. Zbl 0516.49018
Dontchev, A. L.; Mordukhovich, B. Sh.
3
1983
Euler approximation of the feasible set. Zbl 0833.65060
Dontchev, A. L.; Hager, William W.
3
1994
Lipschitz properties of the attainable set of singularly perturbed linear systems. Zbl 0673.49018
Dontchev, A. L.; Slavov, J. I.
3
1988
A proof of the Lyusternik-Graves theorem. Zbl 1325.49023
Dontchev, Asen L.
2
2015
Continuity of the family of trajectories of linear control systems with respect to singular perturbations. Zbl 0900.34082
Vel’ov, V. M.; Donchev, A. L.
2
1987
Die Korrektheit eines singulär gestörten Problems der optimalen Regelung mit konvexem Qualitätskriterium. Zbl 0382.49003
Doncev, A. L.; Gicev, T. R.
2
1977
Primal-dual solution perturbations in convex optimization. Zbl 0984.90043
Dontchev, A. L.; Rockafellar, R. T.
2
2001
A singularly perturbed optimal control problem with fixed final state and constrained control. Zbl 0511.49001
Dontchev, A. L.; Veliov, V. M.
2
1982
On Robinson’s implicit function theorems. Zbl 0790.49016
Dontchev, Asen L.; Hager, William W.
2
1993
Equivalent perturbations and approximations in optimal control. Zbl 0642.49023
Dontchev, A. L.
2
1988
On the behaviour of solutions of linear autonomous differential inclusions at infinity. Zbl 0551.34009
Dontchev, A. L.; Veliov, V. M.
2
1983
Singular perturbation in linear differential inclusions - critical case. Zbl 0559.34057
Dontchev, A. L.; Veliov, V. M.
2
1985
Singular perturbations in linear control systems with weakly coupled stable and unstable fast subsystems. Zbl 0576.93031
Dontchev, A. L.; Veliov, V. M.
2
1985
On the existence of Lipschitz continuous optimal feedback control. Zbl 1427.49044
Dontchev, A. L.; Krastanov, M. I.; Veliov, V. M.
2
2019
The radius of metric subregularity. Zbl 1447.49030
Dontchev, Asen L.; Gfrerer, Helmut; Kruger, Alexander Y.; Outrata, Jiří V.
2
2020
Lipschitz stability in discretized optimal control with application to SQP. Zbl 1407.49041
Dontchev, Asen L.; Kolmanovsky, Ilya; Krastanov, Mikhail I.; Nicotra, Marco; Veliov, Vladimir M.
2
2019
Sensitivity analysis of optimal control systems with small time delay. Zbl 0306.49016
Dontchev, A. L.
1
1975
Sensitivity analysis of optimal control system with small time delay. Zbl 0329.49017
Dontchev, Asen L.
1
1975
Extensions of Clarke’s proximal characterization for reachable mappings of differential inclusions. Zbl 1145.93006
Donchev, T.; Dontchev, A. L.
1
2008
On the inner and outer norms of sublinear mappings. Zbl 1156.49015
Aragón Artacho, F. J.; Dontchev, A. L.
1
2007
Implicit functions defined by generalized equations. Zbl 0856.49020
Dontchev, Asen L.; Hager, William W.
1
1996
State constraints in the linear regulator problem: Case study. Zbl 0836.49018
Dontchev, A. L.; Kolmanovsky, I. V.
1
1995
Lipschitzian stability of Newton’s method for variational inclusions. Zbl 0994.49020
Dontchev, Asen L.
1
2000
A dual method for parameter identification under deterministic uncertainty. Zbl 0991.93028
Dontchev, A. L.; Polis, M. P.; Veliov, V. M.
1
2000
Linear optimal control system with singular perturbation and convex performance index. Zbl 0436.49019
Gicev, Todor R.; Dontchev, Asen L.
1
1978
Efficient estimates of the solutions of perturbed control problems. Zbl 0441.49034
Dontchev, A. L.
1
1981
The radius of metric subregularity. Zbl 1447.49030
Dontchev, Asen L.; Gfrerer, Helmut; Kruger, Alexander Y.; Outrata, Jiří V.
2
2020
Bartle-Graves theorem revisited. Zbl 1444.47068
Dontchev, Asen L.
1
2020
Approximating optimal finite horizon feedback by model predictive control. Zbl 1447.93087
Dontchev, A. L.; Kolmanovsky, I. V.; Krastanov, M. I.; Veliov, V. M.; Vuong, P. T.
1
2020
On the existence of Lipschitz continuous optimal feedback control. Zbl 1427.49044
Dontchev, A. L.; Krastanov, M. I.; Veliov, V. M.
2
2019
Lipschitz stability in discretized optimal control with application to SQP. Zbl 1407.49041
Dontchev, Asen L.; Kolmanovsky, Ilya; Krastanov, Mikhail I.; Nicotra, Marco; Veliov, Vladimir M.
2
2019
Strong metric subregularity of mappings in variational analysis and optimization. Zbl 1376.49048
Cibulka, R.; Dontchev, A. L.; Kruger, A. Y.
15
2018
Metrically regular differential generalized equations. Zbl 1383.49046
Cibulka, R.; Dontchev, A.; Krastanov, M. I.; Veliov, V. M.
8
2018
Kantorovich-type theorems for generalized equations. Zbl 1393.49021
Cibulka, Radek; Dontchev, Asen L.; Preininger, Jakob; Roubal, T.; Veliov, Vladimir
5
2018
Lyusternik-Graves theorems for the sum of a Lipschitz function and a set-valued mapping. Zbl 1372.47070
Cibulka, R.; Dontchev, A.; Veliov, V. M.
5
2016
A nonsmooth Robinson’s inverse function theorem in Banach spaces. Zbl 1337.49022
Cibulka, R.; Dontchev, A. L.
4
2016
Inexact Newton methods and Dennis-Moré theorems for nonsmooth generalized equations. Zbl 1321.49044
Cibulka, R.; Dontchev, A.; Geoffroy, M. H.
12
2015
A proof of the Lyusternik-Graves theorem. Zbl 1325.49023
Dontchev, Asen L.
2
2015
Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003
Dontchev, Asen L.; Rockafellar, R. Tyrrell
96
2014
Local convergence of quasi-Newton methods under metric regularity. Zbl 1320.90106
Aragón Artacho, F. J.; Belyakov, A.; Dontchev, A. L.; López, M.
12
2014
On one-sided Lipschitz stability of set-valued contractions. Zbl 1311.47064
Adly, S.; Dontchev, A. L.; Théra, M.
7
2014
The weak Ekeland variational principle and fixed points. Zbl 1285.49011
Beer, Gerald; Dontchev, Asen L.
4
2014
Convergence of inexact Newton methods for generalized equations. Zbl 1272.49047
Dontchev, A. L.; Rockafellar, R. T.
16
2013
An Euler-Newton continuation method for tracking solution trajectories of parametric variational inequalities. Zbl 1272.49012
Dontchev, A. L.; Krastanov, M. I.; Rockafellar, R. T.; Veliov, V. M.
7
2013
Lyusternik-Graves theorem and fixed points II. Zbl 1264.49016
Dontchev, Asen L.; Frankowska, Hélène
10
2012
Generalizations of the Dennis-Moré theorem. Zbl 1255.49028
Dontchev, Asen L.
9
2012
Parametric stability of solutions in models of economic equilibrium. Zbl 1256.49021
Dontchev, Asen L.; Rockafellar, Ralph Tyrrell
4
2012
Lyusternik-Graves theorem and fixed points. Zbl 1211.49023
Dontchev, Asen L.; Frankowska, Hélène
23
2011
Metric regularity of Newton’s iteration. Zbl 1218.49024
Aragón Artacho, F. J.; Dontchev, A. L.; Gaydu, M.; Geoffroy, M. H.; Veliov, V. M.
16
2011
Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024
Dontchev, A. L.; Rockafellar, R. T.
22
2010
Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001
Dontchev, Asen L.; Rockafellar, R. Tyrrell
218
2009
Robinson’s implicit function theorem and its extensions. Zbl 1172.49013
Dontchev, A. L.; Rockafellar, R. T.
48
2009
Metric regularity under approximations. Zbl 1236.49071
Veliov, V.; Dontchev, A.
6
2009
Isolated calmness of solution mappings in convex semi-infinite optimization. Zbl 1163.49028
Cánovas, M. J.; Dontchev, A. L.; López, M. A.; Parra, J.
5
2009
Extensions of Clarke’s proximal characterization for reachable mappings of differential inclusions. Zbl 1145.93006
Donchev, T.; Dontchev, A. L.
1
2008
Convergence of the proximal point method for metrically regular mappings. Zbl 1235.90180
Aragón Artacho, F. J.; Dontchev, A. L.; Geoffroy, M. H.
14
2007
On the inner and outer norms of sublinear mappings. Zbl 1156.49015
Aragón Artacho, F. J.; Dontchev, A. L.
1
2007
Aubin criterion for metric regularity. Zbl 1098.49018
Dontchev, A. L.; Quincampoix, M.; Zlateva, N.
33
2006
Metric regularity of semi-infinite constraint systems. Zbl 1093.90066
Cánovas, M. J.; Dontchev, A. L.; López, M. A.; Parra, J.
35
2005
Perturbations and metric regularity. Zbl 1086.49020
Dontchev, A. L.; Lewis, A. S.
11
2005
Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021
Dontchev, A. L.; Rockafellar, R. T.
90
2004
A local selection theorem for metrically regular mappings. Zbl 1078.49017
Dontchev, A. L.
5
2004
The radius of metric regularity. Zbl 1042.49026
Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T.
84
2003
Quadratic convergence of Newton’s method for convex interpolation and smoothing. Zbl 1014.65011
Dontchev, Asen L.; Qi, Houduo; Qi, Liqun
10
2003
On the Bartle-Graves theorem. Zbl 1017.49021
Borwein, J. M.; Dontchev, A. L.
9
2003
Singular perturbations in infinite-dimensional control systems. Zbl 1051.93067
Donchev, T. D.; Dontchev, A. L.
5
2003
A Newton method for shape-preserving spline interpolation. Zbl 1027.41016
Dontchev, Asen L.; Qi, Hou-Duo; Qi, Liqun; Yin, Hongxia
8
2002
The Euler approximation in state constrained optimal control. Zbl 0987.49017
Dontchev, A. L.; Hager, William W.
47
2001
Ample parameterization of variational inclusions. Zbl 1008.49009
Dontchev, A. L.; Rockafellar, R. T.
16
2001
Convergence of Newton’s method for convex best interpolation. Zbl 0970.65009
Dontchev, Asen L.; Qi, Houduo; Qi, Liqun
12
2001
Primal-dual solution perturbations in convex optimization. Zbl 0984.90043
Dontchev, A. L.; Rockafellar, R. T.
2
2001
Second-order Runge-Kutta approximations in control constrained optimal control. Zbl 0968.49022
Dontchev, A. L.; Hager, William W.; Veliov, Vladimir M.
64
2000
Error bounds for Euler approximation of a state and control constrained optimal control problem. Zbl 0969.49013
Dontchev, A. L.; Hager, W. W.; Malanowski, K.
26
2000
Uniform convergence and mesh independence of Newton’s method for discretized variational problems. Zbl 0979.49023
Dontchev, A. L.; Hager, W. W.; Veliov, V. M.
16
2000
A characterization of Lipschitzian stability in optimal control. Zbl 0970.49021
Dontchev, A. L.; Malanowski, K.
8
2000
On quantitative stability in optimization and optimal control. Zbl 0967.49013
Dontchev, A. L.; Hager, W. W.; Malanowski, K.; Veliov, V. M.
4
2000
Lipschitzian stability of Newton’s method for variational inclusions. Zbl 0994.49020
Dontchev, Asen L.
1
2000
A dual method for parameter identification under deterministic uncertainty. Zbl 0991.93028
Dontchev, A. L.; Polis, M. P.; Veliov, V. M.
1
2000
Lipschitzian stability for state constrained nonlinear optimal control. Zbl 0917.49025
Dontchev, A. L.; Hager, W. W.
18
1998
A new approach to Lipschitz continuity in state constrained optimal control. Zbl 0988.49017
Dontchev, A. L.; Hager, William W.
11
1998
Robinson’s strong regularity implies robust local convergence of Newton’s method. Zbl 0910.49012
Dokov, S. P.; Dontchev, A. L.
3
1998
Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146
Dontchev, A. L.; Rockafellar, R. T.
16
1997
Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004
Dontchev, A. L.; Rockafellar, R. T.
134
1996
The Graves theorem revisited. Zbl 0867.46036
Dontchev, Asen L.
34
1996
Local convergence of the Newton method for generalized equations. Zbl 0844.47034
Dontchev, Asen L.
32
1996
Local analysis of a Newton-type method based on partial linearization. Zbl 0856.65064
Dontchev, A. L.
20
1996
Uniform convergence of the Newton method for Aubin continuous maps. Zbl 0865.90115
Dontchev, Asen L.
20
1996
A Tikhonov-type theorem for singularly perturbed differential inclusions. Zbl 0852.34058
Dontchev, A.; Donchev, Tz.; Slavov, I.
12
1996
Discrete approximations in optimal control. Zbl 0887.49026
Dontchev, A. L.
8
1996
An a priori estimate for discrete approximations in nonlinear optimal control. Zbl 0851.49023
Dontchev, Asen L.
6
1996
Implicit functions defined by generalized equations. Zbl 0856.49020
Dontchev, Asen L.; Hager, William W.
1
1996
Best interpolation in a strip. II: Reduction to unconstrained convex optimization. Zbl 0851.90090
Dontchev, Asen L.; Kolmanovsky, Ilya
1
1996
Optimality, stability, and convergence in nonlinear control. Zbl 0821.49022
Dontchev, A. L.; Hager, W. W.; Poore, A. B.; Yang, Bing
35
1995
Characterizations of Lipschitz stability in optimization. Zbl 0856.49019
Dontchev, A. L.
15
1995
Implicit function theorems for generalized equations. Zbl 0843.49010
Dontchev, Asen L.
12
1995
On regularity of optimal control. Zbl 0838.49017
Dontchev, Asen L.; Kolmanovsky, Ilya
3
1995
State constraints in the linear regulator problem: Case study. Zbl 0836.49018
Dontchev, A. L.; Kolmanovsky, I. V.
1
1995
An inverse mapping theorem for set-valued maps. Zbl 0804.49021
Dontchev, A. L.; Hager, W. W.
53
1994
Implicit functions, Lipschitz maps, and stability in optimization. Zbl 0835.49019
Dontchev, Asen L.; Hager, William W.
32
1994
Euler approximation of the feasible set. Zbl 0833.65060
Dontchev, A. L.; Hager, William W.
3
1994
Well-posed optimization problems. Zbl 0797.49001
Dontchev, Asen L.; Zolezzi, Tullio
190
1993
Lipschitzian stability in nonlinear control and optimization. Zbl 0779.49032
Dontchev, Asen L.; Hager, William W.
49
1993
Best interpolation in a strip. Zbl 0781.41001
Dontchev, A. L.
9
1993
On Robinson’s implicit function theorems. Zbl 0790.49016
Dontchev, Asen L.; Hager, William W.
2
1993
Difference methods for differential inclusions: A survey. Zbl 0757.34018
Dontchev, Asen; Lempio, Frank
87
1992
Upper semicontinuity of solutions of singularly perturbed differential inclusions. Zbl 0706.49012
Dontchev, A. L.; Slavov, I. I.
4
1990
Error estimates for discretized differential inclusions. Zbl 0667.65067
Dontchev, A. L.; Farkhi, E. M.
40
1989
Duality and well-posedness in convex interpolation. Zbl 0661.41004
Dontchev, A. L.; Kalchev, B. D.
8
1989
On the admissible controls of constrained linear systems. Zbl 0694.49025
Donchev, A. L.
1
1989
Lipschitz properties of the attainable set of singularly perturbed linear systems. Zbl 0673.49018
Dontchev, A. L.; Slavov, J. I.
3
1988
Equivalent perturbations and approximations in optimal control. Zbl 0642.49023
Dontchev, A. L.
2
1988
On convex and nonnegative best interpolation. Zbl 0661.41003
Donchev, A. L.; Kalchev, Bl.
1
1988
Duality methods for constrained best interpolation. Zbl 0655.41006
Dontchev, Asen L.
4
1987
Continuity of the family of trajectories of linear control systems with respect to singular perturbations. Zbl 0900.34082
Vel’ov, V. M.; Donchev, A. L.
2
1987
The constrained linear-quadratic optimal control problem. Zbl 0625.49007
Donchev, Asen L.
1
1987
On the regularity of the Kuhn-Tucker curve. Zbl 0598.90086
Dontchev, A. L.; Jongen, H. Th.
9
1986
Singular perturbation in linear differential inclusions - critical case. Zbl 0559.34057
Dontchev, A. L.; Veliov, V. M.
2
1985
Singular perturbations in linear control systems with weakly coupled stable and unstable fast subsystems. Zbl 0576.93031
Dontchev, A. L.; Veliov, V. M.
2
1985
A regularized conditional gradient method applied to singularly perturbed optimal control systems. Zbl 0576.49020
Dmitriev, M. G.; Dontchev, Asen L.; Veliov, Vladimir M.
1
1985
Error estimates for a discrete approximation to nonlinear optimal processes by averaged moduli of smoothness. Zbl 0583.49023
Donchev, A. L.; Farkhi, E. M.
1
1984
Perturbations, approximations and sensitivity analysis of optimal control systems. Zbl 0512.49001
Dontchev, A. L.
38
1983
Singular perturbation in Mayer’s problem for linear systems. Zbl 0519.49002
Dontchev, A. L.; Veliov, V. M.
20
1983
Relaxation and well-posedness of nonlinear optimal processes. Zbl 0516.49018
Dontchev, A. L.; Mordukhovich, B. Sh.
3
1983
On the behaviour of solutions of linear autonomous differential inclusions at infinity. Zbl 0551.34009
Dontchev, A. L.; Veliov, V. M.
2
1983
A singularly perturbed optimal control problem with fixed final state and constrained control. Zbl 0511.49001
Dontchev, A. L.; Veliov, V. M.
2
1982
Error estimates for a discrete approximation to constrained control problems. Zbl 0469.65045
Dontchev, Asen L.
7
1981
...and 9 more Documents
all top 5

Cited by 1,078 Authors

50 Mordukhovich, Boris S.
46 Dontchev, Asen L.
28 Kruger, Alexander Ya.
28 Outrata, Jiří V.
26 Veliov, Vladimir M.
26 Yao, Jen-Chih
24 Cánovas, María Josefa
23 López-Cerdá, Marco Antonio
23 Parra, Juan
17 Geoffroy, Michel H.
17 Gfrerer, Helmut
17 Ioffe, Alexander Davidovich
16 Cibulka, Radek
14 Durea, Marius
14 Henrion, René
14 Li, Chong
12 Danca, Marius-Florin
12 Malanowski, Kazimierz D.
12 Piétrus, Alain
11 Adly, Samir
11 Gerdts, Matthias
11 Huang, Nan-Jing
11 Nghia, Tran T. A.
11 Phan Quôc Khánh
11 Strugariu, Radu
11 Zheng, Xiyin
10 Alt, Walter
10 Arutyunov, Aram Vladimirovic
10 Hager, William W.
10 Huynh Van Ngai
10 Klatte, Diethard
10 Kolmanovsky, Ilya V.
10 Lewis, Adrian S.
10 Qui, Nguyen Thanh
10 Rockafellar, Ralph Tyrrell
10 Yang, Xiaoqi
9 Anh, Lam Quoc
9 Donchev, Tzanko Donchev
9 Ferreira, Orizon Pereira
9 Gaydu, Michaël
9 Hilout, Saïd
9 Théra, Michel A.
9 Toledo, Fco. Javier
9 Tröltzsch, Fredi
9 Nguyen Dong Yen
9 Zhukovskiĭ, Sergeĭ Evgen’evich
8 Aragón Artacho, Francisco Javier
8 Danilin, Alekseĭ Rufimovich
8 Fang, Yaping
8 Goberna, Miguel Angel
8 Izmailov, Alekseĭ F.
8 Kummer, Bernd
8 Luke, D. Russell
8 Ng, Kung-Fu
8 Ouyang, Wei
8 Pini, Rita
8 Qi, Liqun
8 Sarabi, M. Ebrahim
8 Silva, Gilson N.
8 Sun, Defeng
8 Thao, Nguyen Hieu
8 Uderzo, Amos
7 Argyros, Ioannis Konstantinos
7 Bianchi, Monica
7 Bonnans, Joseph Frédéric
7 Chuong, Thai Doan
7 Kaya, C. Yalçin
7 Kovrizhnykh, O. O.
7 Wei, Zhou
7 Zhang, Binbin
7 Zhang, Liwei
6 Baier, Robert
6 Fan, Xiaodong
6 Huy, Nguyen Quang
6 Kassay, Gábor
6 Lalitha, C. S.
6 Lu, Shu
6 Maurer, Helmut
6 Pan, Shaohua
6 Patrinos, Panagiotis
6 Rashid, Mohammed Harunor
6 Rieger, Janosch
6 Vera de Serio, Virginia N.
6 Wachsmuth, Daniel
6 Xiao, Yibin
6 Zolezzi, Tullio
5 Bednarczuk, Ewa M.
5 Bi, Shujun
5 Chieu, Nguyen Huy
5 Farkhi, Elza M.
5 Felgenhauer, Ursula
5 Hantoute, Abderrahim
5 Hu, Rong
5 Jean-Alexis, Célia
5 López, Ruben
5 Papageorgiou, Nikolaos S.
5 Peña, Javier F.
5 Penot, Jean-Paul
5 Preininger, Jakob
5 Revalski, Julian Petrov
...and 978 more Authors
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Cited in 212 Serials

114 Journal of Optimization Theory and Applications
74 Mathematical Programming. Series A. Series B
64 Journal of Mathematical Analysis and Applications
63 Set-Valued and Variational Analysis
51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
51 Optimization
47 SIAM Journal on Optimization
37 Computational Optimization and Applications
33 Journal of Global Optimization
27 Numerical Functional Analysis and Optimization
26 Optimization Letters
23 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
21 Set-Valued Analysis
16 Vietnam Journal of Mathematics
15 Automatica
15 Positivity
14 Applied Mathematics and Computation
13 Applied Mathematics and Optimization
13 Nonlinear Analysis. Theory, Methods & Applications
12 SIAM Journal on Control and Optimization
11 Journal of Computational and Applied Mathematics
11 Mathematical Methods of Operations Research
10 Mathematics of Operations Research
10 Systems & Control Letters
10 Optimization Methods & Software
9 Annals of Operations Research
9 Proceedings of the Steklov Institute of Mathematics
7 Applicable Analysis
7 Computing
7 Journal of Convex Analysis
7 Journal of Industrial and Management Optimization
7 Journal of Fixed Point Theory and Applications
6 Journal of Approximation Theory
6 Transactions of the American Mathematical Society
6 European Journal of Operational Research
6 Journal of Mathematical Sciences (New York)
6 Top
6 Abstract and Applied Analysis
5 Journal of Differential Equations
5 Proceedings of the American Mathematical Society
5 Optimal Control Applications & Methods
5 Operations Research Letters
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Journal of Inequalities and Applications
5 Foundations of Computational Mathematics
5 Journal of Applied Mathematics
4 Numerische Mathematik
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Applied Numerical Mathematics
4 Linear Algebra and its Applications
4 Mathematical Problems in Engineering
4 Nonlinear Dynamics
3 Computers & Mathematics with Applications
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of the Franklin Institute
3 Chaos, Solitons and Fractals
3 Kybernetika
3 SIAM Journal on Numerical Analysis
3 Zeitschrift für Analysis und ihre Anwendungen
3 Stochastic Analysis and Applications
3 Acta Applicandae Mathematicae
3 Mathematical and Computer Modelling
3 Numerical Algorithms
3 Automation and Remote Control
3 Economic Theory
3 Discrete and Continuous Dynamical Systems
3 Doklady Mathematics
3 Taiwanese Journal of Mathematics
3 International Game Theory Review
3 Differential Equations
3 Advances in Difference Equations
3 Discrete and Continuous Dynamical Systems. Series S
3 Science China. Mathematics
3 Mathematical Control and Related Fields
3 Ural Mathematical Journal
2 International Journal of Systems Science
2 Inverse Problems
2 Israel Journal of Mathematics
2 Journal of Applied Mathematics and Mechanics
2 Psychometrika
2 Mathematics of Computation
2 Archiv der Mathematik
2 Journal of Mathematical Economics
2 Journal of Soviet Mathematics
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Asia-Pacific Journal of Operational Research
2 MCSS. Mathematics of Control, Signals, and Systems
2 Science in China. Series A
2 Applications of Mathematics
2 International Journal of Computer Mathematics
2 Journal of Mathematical Imaging and Vision
2 Advances in Computational Mathematics
2 European Journal of Control
2 Acta Mathematica Sinica. English Series
2 Journal of Dynamical and Control Systems
2 Optimization and Engineering
2 RAIRO. Operations Research
2 Nonlinear Analysis. Real World Applications
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of the Australian Mathematical Society
...and 112 more Serials
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Cited in 43 Fields

746 Calculus of variations and optimal control; optimization (49-XX)
579 Operations research, mathematical programming (90-XX)
243 Numerical analysis (65-XX)
146 Operator theory (47-XX)
119 Ordinary differential equations (34-XX)
116 Systems theory; control (93-XX)
63 General topology (54-XX)
58 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
45 Partial differential equations (35-XX)
44 Functional analysis (46-XX)
43 Global analysis, analysis on manifolds (58-XX)
36 Real functions (26-XX)
31 Approximations and expansions (41-XX)
17 Dynamical systems and ergodic theory (37-XX)
17 Computer science (68-XX)
16 Convex and discrete geometry (52-XX)
16 Mechanics of deformable solids (74-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
14 Mechanics of particles and systems (70-XX)
13 Biology and other natural sciences (92-XX)
12 Statistics (62-XX)
10 Information and communication theory, circuits (94-XX)
9 Probability theory and stochastic processes (60-XX)
7 Algebraic geometry (14-XX)
5 Difference and functional equations (39-XX)
4 Fluid mechanics (76-XX)
3 General and overarching topics; collections (00-XX)
3 Measure and integration (28-XX)
3 Integral equations (45-XX)
3 Differential geometry (53-XX)
3 Optics, electromagnetic theory (78-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Special functions (33-XX)
2 Quantum theory (81-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Combinatorics (05-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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