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Sachs, Ekkehard W.

Co-Author Distance

Author ID:: sachs.ekkehard-w
Published as:: Sachs, E. W.;Sachs, Ekkehard W.;Sachs, Ekkehard;Sachs, E.;Sachs, Ekkerhardmore...less
Homepage:: https://www.uni-trier.de/universitaet/fachbereiche-faecher/fachbereich-iv/faeche...
External Links:: MGP ·Wikidata ·GND ·IdRef

Documents Indexed:

99 Publications since 1976, including2 Books and3 Additional arXiv Preprints

3 Contributions as Editor

Reviewing Activity:

30 Reviews

Co-Authors:

52 Co-Authors with 76 Joint Publications

1,160 Co-Co-Authors

all top 5

Co-Authors

23	single-authored
18	Kelley, Carl T.
5	Schu, Matthias
4	Maruhn, Jan Hendrik
3	Frerick, Leonhard
3	Herzog, Roland
3	Kupfer, F.-S.
3	Leibfritz, Friedemann
3	Müller-Fürstenberger, Georg
3	Somorowsky, L.
3	Volkwein, Stefan
2	Fahl, Marco
2	Grapiglia, Geovani Nunes
2	Heidemüller, H.
2	Heinkenschloss, Matthias
2	King, Belinda Batten
2	Klammer, H.
2	Kleis, Detlev
2	Laumen, Manfred
2	Maschler, F.
2	Münnich, Ralf T.
2	Schneider, Marina
2	Tichatschke, Rainer
2	Wagner, Matthias
2	Wölk, G.
1	Al-Baali, Mehiddin
1	Artmann, Benno
1	Battermann, Astrid
1	Benner, Peter
1	Burns, John A.
1	Feitzinger, F.
1	Fredrick, L.
1	Gerlich, F.
1	Giese, A. M.
1	Glashoff, Klaus
1	Gritzmann, Peter
1	Gruver, William A. III
1	Günnel, Andreas
1	Horst, Reiner
1	Hylla, T.
1	Jahn, Johannes
1	Kaebe, C.
1	Krabs, Werner
1	Kunisch, Karl
1	Martin, Robert Harold jun.
1	Peterhänsel, Wolfgang
1	Purnama, Anton
1	Rautert, T.
1	Sachs, Stephen M.
1	Schmidt, E. J. P. Georg
1	Strauss, Arne K.
1	Zietsman, Lizette
1	Zimmer, Lukas A.

all top 5

Serials

7	SIAM Journal on Control and Optimization
6	SIAM Journal on Optimization
6	Computational Optimization and Applications
5	Journal of Optimization Theory and Applications
4	SIAM Journal on Numerical Analysis
3	Applied Mathematics and Optimization
3	Control and Cybernetics
2	Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2	Numerische Mathematik
2	SIAM Journal on Matrix Analysis and Applications
2	SIAM Review
2	Optimization Methods & Software
1	Journal of Mathematical Analysis and Applications
1	Mathematical Methods in the Applied Sciences
1	Journal of Approximation Theory
1	Mathematische Operationsforschung und Statistik. Series Optimization
1	Mathematical Programming
1	Journal of Integral Equations
1	SIAM Journal on Scientific and Statistical Computing
1	Applied Numerical Mathematics
1	Journal of Integral Equations and Applications
1	Annals of Operations Research
1	Journal of Global Optimization
1	Numerical Algorithms
1	Mathematical Programming. Series A. Series B
1	SIAM Journal on Scientific Computing
1	ETNA. Electronic Transactions on Numerical Analysis
1	Finance and Stochastics
1	Mathematical Methods of Operations Research
1	International Journal of Theoretical and Applied Finance
1	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1	GAMM-Mitteilungen
1	Lecture Notes in Economics and Mathematical Systems
1	AStA. Advances in Statistical Analysis
1	Nonlinear Analysis. Theory, Methods & Applications
1	Research Notes in Mathematics (San Francisco)
1	IFIP, International Federation for Information Processing

all top 5

Fields

61	Calculus of variations and optimal control; optimization (49-XX)
50	Numerical analysis (65-XX)
49	Operations research, mathematical programming (90-XX)
20	Partial differential equations (35-XX)
17	Systems theory; control (93-XX)
10	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6	Operator theory (47-XX)
5	General and overarching topics; collections (00-XX)
5	Integral equations (45-XX)
3	Statistics (62-XX)
2	Ordinary differential equations (34-XX)
2	Approximations and expansions (41-XX)
2	Mechanics of deformable solids (74-XX)
2	Biology and other natural sciences (92-XX)
1	Linear and multilinear algebra; matrix theory (15-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Probability theory and stochastic processes (60-XX)
1	Fluid mechanics (76-XX)
1	Classical thermodynamics, heat transfer (80-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

78 Publications have been cited 759 times in583 Documents	Cited by ▼	Year ▼
Preconditioned conjugate gradient method for optimal control problems with control and state constraints. Zbl 1209.49038 Herzog, Roland;Sachs, Ekkehard	54	2010
Efficient solution of a partial integro-differential equation in finance. Zbl 1155.65109 Sachs, E. W.;Strauss, A. K.	54	2008
Inexact Kleinman-Newton method for Riccati equations. Zbl 1191.49033 Feitzinger, F.;Hylla, T.;Sachs, E. W.	37	2009
Algorithmic methods in optimal control. Zbl 0456.49001 Gruver, W. A.;Sachs, E.	34	1981
Model order reduction for PDE constrained optimization. Zbl 1327.49043 Benner, Peter;Sachs, Ekkehard;Volkwein, Stefan	31	2014
Quasi-Newton methods and unconstrained optimal control problems. Zbl 0634.49014 Kelley, C. T.;Sachs, E. W.	24	1987
A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space. Zbl 1295.65062 Günnel, Andreas;Herzog, Roland;Sachs, Ekkehard	22	2014
POD-Galerkin approximations in PDE-constrained optimization. Zbl 1205.35011 Sachs, Ekkehard W.;Volkwein, Stefan	20	2010
Broyden’s method in Hilbert space. Zbl 0598.90080 Sachs, Ekkehard W.	19	1986
Generalized quasiconvex mappings and vector optimization. Zbl 0587.49024 Jahn, J.;Sachs, E.	19	1986
Broyden’s method for approximate solution of nonlinear integral equations. Zbl 0576.65055 Kelley, C. T.;Sachs, E. W.	18	1985
Block preconditioners for KKT systems in PDE-governed optimal control problems. Zbl 0992.49022 Battermann, Astrid;Sachs, Ekkehard W.	17	2001
Superlinear convergence of Krylov subspace methods for self-adjoint problems in Hilbert space. Zbl 1312.65044 Herzog, Roland;Sachs, Ekkehard	17	2015
On the worst-case evaluation complexity of non-monotone line search algorithms. Zbl 1388.90111 Grapiglia, Geovani N.;Sachs, Ekkehard W.	16	2017
Mesh independence of Kleinman-Newton iterations for Riccati equations in Hilbert space. Zbl 1171.49024 Burns, J. A.;Sachs, E. W.;Zietsman, L.	15	2008
Computational design of optimal output feedback controllers. Zbl 0887.49028 Rautert, T.;Sachs, E. W.	14	1997
Reduced SQP methods for parameter identification problems. Zbl 0772.65085 Kunisch, K.;Sachs, E. W.	14	1992
Reduced order modelling approaches to PDE-constrained optimization based on proper orthogonal decomposition. Zbl 1060.49023 Fahl, Marco;Sachs, Ekkehard W.	14	2003
Inexact SQP interior point methods and large scale optimal control problems. Zbl 0946.65047 Leibfritz, F.;Sachs, E. W.	14	1999
A quasi-Newton method for elliptic boundary value problems. Zbl 0625.65104 Kelley, C. T.;Sachs, E. W.	14	1987
Mesh independence of Newton-like methods for infinite dimensional problems. Zbl 0756.65085 Kelley, C. T.;Sachs, E. W.	13	1991
Local convergence of SQP methods in semi-infinite programming. Zbl 0840.65056 Gramlich, G.;Hettich, R.;Sachs, E. W.	13	1995
Numerical solution of a nonlinear parabolic control problem by a reduced SQP method. Zbl 0771.49010 Kupfer, F.-S.;Sachs, E. W.	13	1992
On theoretical and numerical aspects of the bang-bang-principle. Zbl 0353.49011 Glashoff, K.;Sachs, E.	12	1977
Solution of optimal control problems by a pointwise projected Newton method. Zbl 0841.49013 Kelley, C. T.;Sachs, E. W.	11	1995
Multilevel algorithms for constrained compact fixed point problems. Zbl 0804.65061 Kelley, C. T.;Sachs, E. W.	11	1994
A priori error estimates for reduced order models in finance. Zbl 1268.91182 Sachs, Ekkehard W.;Schu, Matthias	11	2013
A new proof of superlinear convergence for Broyden’s method in Hilbert space. Zbl 0760.65059 Kelley, C. T.;Sachs, E. W.	10	1991
Nonmonotone line searches for optimization algorithms. Zbl 1318.49059 Sachs, Ekkehard W.;Sachs, Stephen M.	10	2011
Local convergence of the symmetric rank-one iteration. Zbl 0944.49023 Kelley, C. T.;Sachs, E. W.	9	1998
Adjoint-based Monte Carlo calibration of financial methods. Zbl 1199.91212 Kaebe, C.;Maruhn, J. H.;Sachs, E. W.	9	2009
Convergence rates of quasi-Newton algorithms for some nonsmooth optimization problems. Zbl 0571.90083 Sachs, Ekkehard	9	1985
Global convergence of inexact reduced SQP methods. Zbl 0886.49025 Jäger, H.;Sachs, E. W.	8	1997
A trust region method for parabolic boundary control problems. Zbl 0962.49020 Kelley, C. T.;Sachs, E. W.	8	1999
A pointwise quasi-Newton method for unconstrained optimal control problems. Zbl 0649.65039 Kelley, C. T.;Sachs, E. W.	8	1989
Inexact primal-dual interior point iteration for linear programs in function spaces. Zbl 0827.49019 Ito, S.;Kelley, C. T.;Sachs, E. W.	7	1995
Mesh independence of the gradient projection method for optimal control problems. Zbl 0751.49012 Kelley, C. T.;Sachs, E. W.	7	1992
Semi-infinite programming in control. Zbl 0911.90331 Sachs, Ekkehard W.	7	1998
A parabolic control problem with a boundary condition of the Stefan- Boltzmann type. Zbl 0443.49018 Sachs, Ekkehard	7	1978
Approximate quasi-Newton methods. Zbl 0695.90085 Kelley, C. T.;Sachs, E. W.	7	1990
Differentiability in optimization theory. Zbl 0403.90092 Sachs, Ekkehard	7	1978
Robust static hedging of barrier options in stochastic volatility models. Zbl 1177.91131 Maruhn, J. H.;Sachs, E. W.	6	2009
Reduced order models (POD) for calibration problems in finance. Zbl 1154.91476 Sachs, E. W.;Schu, M.	6	2008
Rates of convergence for adaptive Newton methods. Zbl 0558.90082 Sachs, E.	6	1986
Fast algorithms for compact fixed point problems with inexact function evaluations. Zbl 0754.65054 Kelley, C. T.;Sachs, E. W.	5	1991
The effect of perturbations on the convergence rates of optimization algorithms. Zbl 0514.65050 Dunn, J. C.;Sachs, E.	5	1983
Optimal control of the sterilization of prepackaged food. Zbl 0996.49023 Kleis, D.;Sachs, E. W.	5	2000
Semidefinite programming techniques for reduced order systems with guaranteed stability margins. Zbl 1017.90075 King, Belinda B.;Sachs, Ekkehard W.	4	2000
Reduced order models in PIDE constrained optimization. Zbl 1282.49022 Sachs, Ekkehard W.;Schu, Matthias	4	2010
Global convergence of quasi-Newton-type algorithms for some nonsmooth optimization problems. Zbl 0488.49016 Sachs, E.	4	1983
SQP interior point methods for parabolic control problems. Zbl 0861.49022 Leibfritz, F.;Sachs, E. W.	3	1996
Augmented Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1027.49027 Sachs, E.;Volkwein, S.	3	2002
Reduced SQP methods for nonlinear heat conduction control problems. Zbl 0802.49024 Kupfer, F.-S.;Sachs, E. W.	3	1993
Numerical solution of optimal allocation problems in stratified sampling under box constraints. Zbl 1443.62024 Münnich, Ralf T.;Sachs, Ekkehard W.;Wagner, Matthias	3	2012
Newton’s method for singular constrained optimization problems. Zbl 0563.65042 Sachs, Ekkehard	3	1984
Gradient computation for model calibration with pointwise observations. Zbl 1272.49052 Sachs, Ekkehard W.;Schu, Matthias	2	2013
A generalized worst-case complexity analysis for non-monotone line searches. Zbl 1489.65084 Grapiglia, Geovani N.;Sachs, Ekkehard W.	2	2021
Numerical solution of a constrained control problem for a phase field model. Zbl 0809.49026 Heinkenschloss, M.;Sachs, E. W.	2	1994
Numerical solution of parabolic state constrained control problems using SQP- and interior-point-methods. Zbl 0807.49031 Leibfritz, Friedemann;Sachs, Ekkehard W.	2	1994
Parameter identification in financial market models with a feasible point SQP algorithm. Zbl 1241.91147 Gerlich, F.;Giese, A. M.;Maruhn, J. H.;Sachs, E. W.	2	2012
Truncated Newton methods for optimization with inaccurate functions and gradients. Zbl 1030.90119 Kelley, C. T.;Sachs, E. W.	2	2003
Robust static super-replication of barrier options in the Black-Scholes model. Zbl 1157.91367 Maruhn, Jan H.;Sachs, Ekkehard W.	2	2006
Convergence of algorithms for perturbed optimization problems. Zbl 0721.90080 Sachs, Ekkehard W.	2	1990
Computation of bang-bang-controls and lower bounds for a parabolic boundary-value control problem. Zbl 0331.49031 Sachs, Ekkehard	2	1976
Calibration of estimator-weights via semismooth Newton method. Zbl 1243.62010 Münnich, Ralf T.;Sachs, Ekkehard W.;Wagner, Matthias	2	2012
On reachable states in boundary control for the heat equation, and an associated moment problem. Zbl 0472.93015 Sachs, Ekkehard;Schmidt, E. J. P. Georg	2	1981
Optimal control for a class of integral equations. Zbl 0404.49027 Sachs, Ekkehard	2	1978
Pointwise Broyden methods. Zbl 0788.65067 Kelley, C. T.;Sachs, E. W.	1	1993
A prospective look at SQP methods for semilinear parabolic control problems. Zbl 0786.49022 Kupfer, F.-S.;Sachs, E. W.	1	1991
Convergence rate of the augmented Lagrangian SQP method. Zbl 0892.49019 Kleis, D.;Sachs, E. W.	1	1997
Optimal control of a parabolic boundary value problem. Zbl 0379.49017 Sachs, Ekkehard	1	1978
Computation of lower bounds of an optimal control problem via homogeneous programming. Zbl 0397.34085 Sachs, E.	1	1977
Adaptive trust-region POD methods in PIDE-constrained optimization. Zbl 1327.49053 Sachs, Ekkehard W.;Schneider, Marina;Schu, Matthias	1	2014
Controllability of distributed parameter systems. Zbl 0412.93013 Krabs, W.;Sachs, E.	1	1979
Reduced-order models for the implied variance under local volatility. Zbl 1304.91244 Sachs, Ekkehard W.;Schneider, Marina	1	2014
Positive control for quasimonotone systems of differential equations. Zbl 0477.49001 Martin, Robert H. jun.;Sachs, Ekkehard	1	1981
Characterization of bang-bang principles. Zbl 0507.49014 Sachs, Ekkehard	1	1983
Optimal control problems in diffusion processes with a nonsmooth nonlinear boundary condition. Zbl 0509.49016 Sachs, E.	1	1983
A generalized worst-case complexity analysis for non-monotone line searches. Zbl 1489.65084 Grapiglia, Geovani N.;Sachs, Ekkehard W.	2	2021
On the worst-case evaluation complexity of non-monotone line search algorithms. Zbl 1388.90111 Grapiglia, Geovani N.;Sachs, Ekkehard W.	16	2017
Superlinear convergence of Krylov subspace methods for self-adjoint problems in Hilbert space. Zbl 1312.65044 Herzog, Roland;Sachs, Ekkehard	17	2015
Model order reduction for PDE constrained optimization. Zbl 1327.49043 Benner, Peter;Sachs, Ekkehard;Volkwein, Stefan	31	2014
A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space. Zbl 1295.65062 Günnel, Andreas;Herzog, Roland;Sachs, Ekkehard	22	2014
Adaptive trust-region POD methods in PIDE-constrained optimization. Zbl 1327.49053 Sachs, Ekkehard W.;Schneider, Marina;Schu, Matthias	1	2014
Reduced-order models for the implied variance under local volatility. Zbl 1304.91244 Sachs, Ekkehard W.;Schneider, Marina	1	2014
A priori error estimates for reduced order models in finance. Zbl 1268.91182 Sachs, Ekkehard W.;Schu, Matthias	11	2013
Gradient computation for model calibration with pointwise observations. Zbl 1272.49052 Sachs, Ekkehard W.;Schu, Matthias	2	2013
Numerical solution of optimal allocation problems in stratified sampling under box constraints. Zbl 1443.62024 Münnich, Ralf T.;Sachs, Ekkehard W.;Wagner, Matthias	3	2012
Parameter identification in financial market models with a feasible point SQP algorithm. Zbl 1241.91147 Gerlich, F.;Giese, A. M.;Maruhn, J. H.;Sachs, E. W.	2	2012
Calibration of estimator-weights via semismooth Newton method. Zbl 1243.62010 Münnich, Ralf T.;Sachs, Ekkehard W.;Wagner, Matthias	2	2012
Nonmonotone line searches for optimization algorithms. Zbl 1318.49059 Sachs, Ekkehard W.;Sachs, Stephen M.	10	2011
Preconditioned conjugate gradient method for optimal control problems with control and state constraints. Zbl 1209.49038 Herzog, Roland;Sachs, Ekkehard	54	2010
POD-Galerkin approximations in PDE-constrained optimization. Zbl 1205.35011 Sachs, Ekkehard W.;Volkwein, Stefan	20	2010
Reduced order models in PIDE constrained optimization. Zbl 1282.49022 Sachs, Ekkehard W.;Schu, Matthias	4	2010
Inexact Kleinman-Newton method for Riccati equations. Zbl 1191.49033 Feitzinger, F.;Hylla, T.;Sachs, E. W.	37	2009
Adjoint-based Monte Carlo calibration of financial methods. Zbl 1199.91212 Kaebe, C.;Maruhn, J. H.;Sachs, E. W.	9	2009
Robust static hedging of barrier options in stochastic volatility models. Zbl 1177.91131 Maruhn, J. H.;Sachs, E. W.	6	2009
Efficient solution of a partial integro-differential equation in finance. Zbl 1155.65109 Sachs, E. W.;Strauss, A. K.	54	2008
Mesh independence of Kleinman-Newton iterations for Riccati equations in Hilbert space. Zbl 1171.49024 Burns, J. A.;Sachs, E. W.;Zietsman, L.	15	2008
Reduced order models (POD) for calibration problems in finance. Zbl 1154.91476 Sachs, E. W.;Schu, M.	6	2008
Robust static super-replication of barrier options in the Black-Scholes model. Zbl 1157.91367 Maruhn, Jan H.;Sachs, Ekkehard W.	2	2006
Reduced order modelling approaches to PDE-constrained optimization based on proper orthogonal decomposition. Zbl 1060.49023 Fahl, Marco;Sachs, Ekkehard W.	14	2003
Truncated Newton methods for optimization with inaccurate functions and gradients. Zbl 1030.90119 Kelley, C. T.;Sachs, E. W.	2	2003
Augmented Lagrange-SQP methods with Lipschitz-continuous Lagrange multiplier updates. Zbl 1027.49027 Sachs, E.;Volkwein, S.	3	2002
Block preconditioners for KKT systems in PDE-governed optimal control problems. Zbl 0992.49022 Battermann, Astrid;Sachs, Ekkehard W.	17	2001
Optimal control of the sterilization of prepackaged food. Zbl 0996.49023 Kleis, D.;Sachs, E. W.	5	2000
Semidefinite programming techniques for reduced order systems with guaranteed stability margins. Zbl 1017.90075 King, Belinda B.;Sachs, Ekkehard W.	4	2000
Inexact SQP interior point methods and large scale optimal control problems. Zbl 0946.65047 Leibfritz, F.;Sachs, E. W.	14	1999
A trust region method for parabolic boundary control problems. Zbl 0962.49020 Kelley, C. T.;Sachs, E. W.	8	1999
Local convergence of the symmetric rank-one iteration. Zbl 0944.49023 Kelley, C. T.;Sachs, E. W.	9	1998
Semi-infinite programming in control. Zbl 0911.90331 Sachs, Ekkehard W.	7	1998
Computational design of optimal output feedback controllers. Zbl 0887.49028 Rautert, T.;Sachs, E. W.	14	1997
Global convergence of inexact reduced SQP methods. Zbl 0886.49025 Jäger, H.;Sachs, E. W.	8	1997
Convergence rate of the augmented Lagrangian SQP method. Zbl 0892.49019 Kleis, D.;Sachs, E. W.	1	1997
SQP interior point methods for parabolic control problems. Zbl 0861.49022 Leibfritz, F.;Sachs, E. W.	3	1996
Local convergence of SQP methods in semi-infinite programming. Zbl 0840.65056 Gramlich, G.;Hettich, R.;Sachs, E. W.	13	1995
Solution of optimal control problems by a pointwise projected Newton method. Zbl 0841.49013 Kelley, C. T.;Sachs, E. W.	11	1995
Inexact primal-dual interior point iteration for linear programs in function spaces. Zbl 0827.49019 Ito, S.;Kelley, C. T.;Sachs, E. W.	7	1995
Multilevel algorithms for constrained compact fixed point problems. Zbl 0804.65061 Kelley, C. T.;Sachs, E. W.	11	1994
Numerical solution of a constrained control problem for a phase field model. Zbl 0809.49026 Heinkenschloss, M.;Sachs, E. W.	2	1994
Numerical solution of parabolic state constrained control problems using SQP- and interior-point-methods. Zbl 0807.49031 Leibfritz, Friedemann;Sachs, Ekkehard W.	2	1994
Reduced SQP methods for nonlinear heat conduction control problems. Zbl 0802.49024 Kupfer, F.-S.;Sachs, E. W.	3	1993
Pointwise Broyden methods. Zbl 0788.65067 Kelley, C. T.;Sachs, E. W.	1	1993
Reduced SQP methods for parameter identification problems. Zbl 0772.65085 Kunisch, K.;Sachs, E. W.	14	1992
Numerical solution of a nonlinear parabolic control problem by a reduced SQP method. Zbl 0771.49010 Kupfer, F.-S.;Sachs, E. W.	13	1992
Mesh independence of the gradient projection method for optimal control problems. Zbl 0751.49012 Kelley, C. T.;Sachs, E. W.	7	1992
Mesh independence of Newton-like methods for infinite dimensional problems. Zbl 0756.65085 Kelley, C. T.;Sachs, E. W.	13	1991
A new proof of superlinear convergence for Broyden’s method in Hilbert space. Zbl 0760.65059 Kelley, C. T.;Sachs, E. W.	10	1991
Fast algorithms for compact fixed point problems with inexact function evaluations. Zbl 0754.65054 Kelley, C. T.;Sachs, E. W.	5	1991
A prospective look at SQP methods for semilinear parabolic control problems. Zbl 0786.49022 Kupfer, F.-S.;Sachs, E. W.	1	1991
Approximate quasi-Newton methods. Zbl 0695.90085 Kelley, C. T.;Sachs, E. W.	7	1990
Convergence of algorithms for perturbed optimization problems. Zbl 0721.90080 Sachs, Ekkehard W.	2	1990
A pointwise quasi-Newton method for unconstrained optimal control problems. Zbl 0649.65039 Kelley, C. T.;Sachs, E. W.	8	1989
Quasi-Newton methods and unconstrained optimal control problems. Zbl 0634.49014 Kelley, C. T.;Sachs, E. W.	24	1987
A quasi-Newton method for elliptic boundary value problems. Zbl 0625.65104 Kelley, C. T.;Sachs, E. W.	14	1987
Broyden’s method in Hilbert space. Zbl 0598.90080 Sachs, Ekkehard W.	19	1986
Generalized quasiconvex mappings and vector optimization. Zbl 0587.49024 Jahn, J.;Sachs, E.	19	1986
Rates of convergence for adaptive Newton methods. Zbl 0558.90082 Sachs, E.	6	1986
Broyden’s method for approximate solution of nonlinear integral equations. Zbl 0576.65055 Kelley, C. T.;Sachs, E. W.	18	1985
Convergence rates of quasi-Newton algorithms for some nonsmooth optimization problems. Zbl 0571.90083 Sachs, Ekkehard	9	1985
Newton’s method for singular constrained optimization problems. Zbl 0563.65042 Sachs, Ekkehard	3	1984
The effect of perturbations on the convergence rates of optimization algorithms. Zbl 0514.65050 Dunn, J. C.;Sachs, E.	5	1983
Global convergence of quasi-Newton-type algorithms for some nonsmooth optimization problems. Zbl 0488.49016 Sachs, E.	4	1983
Characterization of bang-bang principles. Zbl 0507.49014 Sachs, Ekkehard	1	1983
Optimal control problems in diffusion processes with a nonsmooth nonlinear boundary condition. Zbl 0509.49016 Sachs, E.	1	1983
Algorithmic methods in optimal control. Zbl 0456.49001 Gruver, W. A.;Sachs, E.	34	1981
On reachable states in boundary control for the heat equation, and an associated moment problem. Zbl 0472.93015 Sachs, Ekkehard;Schmidt, E. J. P. Georg	2	1981
Positive control for quasimonotone systems of differential equations. Zbl 0477.49001 Martin, Robert H. jun.;Sachs, Ekkehard	1	1981
Controllability of distributed parameter systems. Zbl 0412.93013 Krabs, W.;Sachs, E.	1	1979
A parabolic control problem with a boundary condition of the Stefan- Boltzmann type. Zbl 0443.49018 Sachs, Ekkehard	7	1978
Differentiability in optimization theory. Zbl 0403.90092 Sachs, Ekkehard	7	1978
Optimal control for a class of integral equations. Zbl 0404.49027 Sachs, Ekkehard	2	1978
Optimal control of a parabolic boundary value problem. Zbl 0379.49017 Sachs, Ekkehard	1	1978
On theoretical and numerical aspects of the bang-bang-principle. Zbl 0353.49011 Glashoff, K.;Sachs, E.	12	1977
Computation of lower bounds of an optimal control problem via homogeneous programming. Zbl 0397.34085 Sachs, E.	1	1977
Computation of bang-bang-controls and lower bounds for a parabolic boundary-value control problem. Zbl 0331.49031 Sachs, Ekkehard	2	1976

all cited Publications top 5 cited Publications

all top 5

Cited by 934 Authors

26	Sachs, Ekkehard W.
20	Benner, Peter
14	Kelley, Carl T.
12	Stoll, Martin
11	Volkwein, Stefan
10	Tröltzsch, Fredi
9	Grapiglia, Geovani Nunes
9	Saak, Jens
8	Kunisch, Karl
7	Herzog, Roland
7	Liu, Jun
7	Singler, John R.
6	Heinkenschloss, Matthias
6	Mannel, Florian
6	Wathen, Andrew John
5	Axelsson, Axel Owe Holger
5	Ferreira, Orizon Pereira
5	Kaltenbacher, Barbara
5	Kouri, Drew P.
5	Neytcheva, Maya G.
5	Pearson, John W.
5	Porcelli, Margherita
5	Potschka, Andreas
5	Simoncini, Valeria
5	Wu, Soon-Yi
4	Caruso, Noe Angelo
4	Curtis, Frank E.
4	Flores-Bazán, Fabián
4	Ge, Liang
4	Ghattas, Omar N.
4	Glau, Kathrin
4	Gugercin, Serkan
4	Jbilou, Khalide
4	Jiang, Zhaolin
4	Jin, Xiaoqing
4	Kürschner, Patrick
4	Martínez, José Mario
4	Michelangeli, Alessandro
4	Mostafa, El-Sayed M. E.
4	Nielsen, Bjørn Fredrik
4	Peherstorfer, Benjamin
4	Schulz, Volker H.
4	Ştefănescu, Răzvan
4	Ulbrich, Stefan
4	Wei, Wei
4	Weichelt, Heiko K.
4	Willcox, Karen E.
4	Yang, Xiaoqi
4	Yu, Yue
4	Zhang, Kai
3	Amsallem, David
3	Bänsch, Eberhard
3	Batten, Belinda A.
3	Blank, Luise
3	Borzì, Alfio
3	Breiten, Tobias
3	Damm, Tobias
3	Dehghan Takht Fooladi, Mehdi
3	Dolgov, Sergey V.
3	Dravins, Ivo
3	Fukushima, Masao
3	Gauger, Nicolas R.
3	Guan, Zhen
3	Hintermüller, Michael
3	Hon, Sean Y.
3	Iftime, Orest V.
3	Iliescu, Traian
3	Jia, Jiteng
3	Karátson, János
3	Kerimbekov, Akylbek Kerimbekovich
3	Leibfritz, Friedemann
3	Maruhn, Jan Hendrik
3	Okuno, Takayuki
3	Pang, Hong-Kui
3	Pestana, Jennifer
3	Prudente, Leandro F.
3	Prüfert, Uwe
3	Schiela, Anton
3	Shirilord, Akbar
3	Song, YongCun
3	Strakoš, Zdeněk
3	Teo, Kok Lay
3	Toivanen, Jari
3	Uciński, Dariusz
3	Vera, Cristián
3	Wachsmuth, Daniel
3	Wang, Cheng
3	Weiser, Martin
3	Xiao, Mingqing
3	Yang, Haijian
3	You, Huaiqian
3	Zhang, Yingying
2	Adly, Samir
2	Alla, Alessandro
2	Andrei, Neculai
2	Arnăutu, Viorel
2	Assunção, P. B.
2	Atkinson, Kendall Eugene
2	Avazzadeh, Zakieh
2	Baraldi, Robert J.
...and 834 more Authors

all top 5

Cited in 142 Serials

33	Computational Optimization and Applications
29	Journal of Computational and Applied Mathematics
26	Journal of Optimization Theory and Applications
19	SIAM Journal on Scientific Computing
19	Optimization Methods & Software
15	Mathematical Programming. Series A. Series B
13	Computers & Mathematics with Applications
13	Journal of Computational Physics
13	Numerical Functional Analysis and Optimization
12	Automatica
12	Optimization
12	Numerical Algorithms
12	Numerical Linear Algebra with Applications
10	Computer Methods in Applied Mechanics and Engineering
10	SIAM Journal on Numerical Analysis
8	Numerische Mathematik
8	Journal of Scientific Computing
7	International Journal of Control
7	Optimal Control Applications & Methods
7	Applied Numerical Mathematics
7	Advances in Computational Mathematics
6	Inverse Problems
6	Applied Mathematics and Optimization
6	International Journal for Numerical Methods in Engineering
6	Journal of Global Optimization
6	Linear Algebra and its Applications
6	SIAM Journal on Optimization
6	Abstract and Applied Analysis
6	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6	Nonlinear Analysis. Theory, Methods & Applications
5	Calcolo
5	SIAM Journal on Control and Optimization
5	Numerical Methods for Partial Differential Equations
5	SIAM Journal on Matrix Analysis and Applications
5	Journal of Integral Equations and Applications
5	European Journal of Operational Research
5	Computational and Applied Mathematics
5	ETNA. Electronic Transactions on Numerical Analysis
5	Journal of Applied Mathematics and Computing
5	SIAM Journal on Financial Mathematics
4	SIAM Review
4	European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4	Optimization and Engineering
4	Journal of Industrial and Management Optimization
4	GAMM-Mitteilungen
3	Journal of the Franklin Institute
3	Mathematical Methods in the Applied Sciences
3	Applied Mathematics and Computation
3	BIT
3	Annals of Operations Research
3	International Journal of Computer Mathematics
3	Journal of Inverse and Ill-Posed Problems
3	Journal of Convex Analysis
3	Finance and Stochastics
3	International Journal of Theoretical and Applied Finance
3	Journal of Numerical Mathematics
3	Mediterranean Journal of Mathematics
3	Numerical Algebra, Control and Optimization
3	East Asian Journal on Applied Mathematics
2	Applicable Analysis
2	Journal of Mathematical Analysis and Applications
2	Mathematical Biosciences
2	Mathematics of Computation
2	Computing
2	Mathematics and Computers in Simulation
2	Systems & Control Letters
2	RAIRO. Modélisation Mathématique et Analyse Numérique
2	Zeitschrift für Operations Research. Serie A: Theorie
2	Journal of Mathematical Sciences (New York)
2	Mathematical Methods of Operations Research
2	ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2	International Journal of Applied Mathematics and Computer Science
2	Mathematical Modelling and Analysis
2	Acta Numerica
2	Optimization Letters
2	AStA. Advances in Statistical Analysis
2	Mathematical Control and Related Fields
2	Communications in Applied and Industrial Mathematics
1	Archive for Rational Mechanics and Analysis
1	Computers and Fluids
1	Computer Physics Communications
1	International Journal for Numerical Methods in Fluids
1	Journal of Mathematical Physics
1	Linear and Multilinear Algebra
1	Transport Theory and Statistical Physics
1	Bulletin of Mathematical Biology
1	ACM Transactions on Mathematical Software
1	Annali di Matematica Pura ed Applicata. Serie Quarta
1	International Journal of Mathematics and Mathematical Sciences
1	Integral Equations and Operator Theory
1	Journal of Approximation Theory
1	Journal of Differential Equations
1	Journal of Statistical Planning and Inference
1	Mathematical Programming
1	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1	OR Spektrum
1	Mathematica Numerica Sinica
1	Journal of Computational Mathematics
1	Applied Mathematics Letters
1	Mathematical and Computer Modelling
...and 42 more Serials

all top 5

Cited in 34 Fields

367	Numerical analysis (65-XX)
245	Calculus of variations and optimal control; optimization (49-XX)
199	Operations research, mathematical programming (90-XX)
91	Partial differential equations (35-XX)
86	Systems theory; control (93-XX)
39	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
37	Fluid mechanics (76-XX)
35	Linear and multilinear algebra; matrix theory (15-XX)
35	Integral equations (45-XX)
27	Operator theory (47-XX)
22	Mechanics of deformable solids (74-XX)
20	Biology and other natural sciences (92-XX)
17	Computer science (68-XX)
15	Statistics (62-XX)
14	Probability theory and stochastic processes (60-XX)
10	Approximations and expansions (41-XX)
8	Real functions (26-XX)
7	Optics, electromagnetic theory (78-XX)
6	Ordinary differential equations (34-XX)
6	Functional analysis (46-XX)
6	Global analysis, analysis on manifolds (58-XX)
5	Dynamical systems and ergodic theory (37-XX)
5	Classical thermodynamics, heat transfer (80-XX)
5	Statistical mechanics, structure of matter (82-XX)
4	Geophysics (86-XX)
3	Harmonic analysis on Euclidean spaces (42-XX)
3	General topology (54-XX)
2	Convex and discrete geometry (52-XX)
2	Mechanics of particles and systems (70-XX)
1	Combinatorics (05-XX)
1	Number theory (11-XX)
1	Measure and integration (28-XX)
1	Special functions (33-XX)
1	Astronomy and astrophysics (85-XX)

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Cited by 934 Authors

Cited in 142 Serials

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