Publications

Recent work

• J. Camacho, M.J. Cánovas, H. Gfrerer, J. Parra.
• Hoffman constant of the argmin mapping in linear optimization.
• July 2023
• arXiv:2307.01034
• Matúš Benko, Helmut Gfrerer, Jane J. Ye, Jin Zhang and Jinchuan Zhou.
• Second-order optimality conditions for general nonconvex optimization problems and variational analysis of disjunctive systems.
• March 2022
• arXiv:2203.10015

Articles in journals and refereed proceedings

(titles are linked to DOI)

• Helmut Gfrerer and Alexander Y. Kruger.
• The radius of metric regularity revisited.
• Set-Valued Var. Anal., 2023.
• Helmut Gfrerer and Jiří V. Outrata.
• On the isolated calmness property of implicitly defined multifunctions.
• J. Conv. Anal., vol. 30 (3), p. 1001-1023, 2023.
• Helmut Gfrerer and Alexander Y. Kruger.
• Radius Theorems for Subregularity in Infinite Dimensions.
• Comp. Optim. Appl., 2023.
• Helmut Gfrerer, Jiří V. Outrata and Jan Valdman.
• On the application of the SCD semismooth* Newton method to variational inequalities of the second kind.
• Set-Valued Var. Anal., vol.30, p. 1453-1484, 2022.
• Helmut Gfrerer, Michael Mandlmayr, Jiří V. Outrata and Jan Valdman.
• On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction.
• Comp. Optim. Appl., 2022.
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• Helmut Gfrerer, Jane J Ye, and Jinchuan Zhou.
• Second-order optimality conditions for nonconvex set-constrained optimization problems.
• Math. Oper. Res., vol. 47(3), p. 2344-2365, 2022.
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• Helmut Gfrerer and Jiří V Outrata.
• On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives.
• J. Math. Anal. Appl., vol. 508 (2), 125895, 2022.
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• Helmut Gfrerer, Jiří V Outrata, and Jan Valdman.
• On the solution of contact problems with Tresca friction by the semismooth* Newton method.
• In: Large-Scale Scientific Computing, p. 515 – 523, 2022.
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• Helmut Gfrerer and Jiří V Outrata.
• On a semismooth* Newton method for solving generalized equations.
• SIAM J. Optim., vol. 31 (1), p. 489 – 517, 2021.
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• Helmut Gfrerer and Jane J Ye.
• New sharp necessary optimality conditions for mathematical programs with equilibrium constraints.
• Set-Valued Var. Anal., vol. 28 (2), p. 395 – 426, 2020.
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• Matúš Benko, Helmut Gfrerer, and Jiří V Outrata.
• Stability analysis for parameterized variational systems with implicit constraints.
• Set-Valued Var. Anal., vol. 28 (1), p. 167 – 193, 2020.
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• Asen L Dontchev, Helmut Gfrerer, Kruger, Alexander Y, and Outrata, Jiří V.
• The radius of metric subregularity.
• Set-Valued Var. Anal., vol. 28 (3), p. 451 – 473, 2020.
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• Helmut Gfrerer and Jiří V Outrata.
• On the Aubin property of solution maps to parameterized variational systems with implicit constraints.
• Optimization, vol. 69 (7-8), p. 1681 – 1701, 2020.
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• Helmut Gfrerer.
• Linearized M-stationarity conditions for general optimization problems.
• Set-Valued Var. Anal., vol. 27 (3), p. 819 – 840, 2019.
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• Matúš Benko, Helmut Gfrerer, and Jiří V Outrata.
• Calculus for directional limiting normal cones and subdifferentials.
• Set-Valued Var. Anal., vol. 27 (3), p. 713 – 745, 2019.
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• Matúš Benko, Helmut Gfrerer, and Boris S Mordukhovich.
• Characterizations of tilt-stable minimizers in second-order cone programming.
• SIAM J. Optim., vol. 29 (4), p. 3100 – 3130, 2019.
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• Helmut Gfrerer and Boris S Mordukhovich.
• Second-order variational analysis of parametric constraint and variational systems.
• SIAM J. Optim., vol. 29 (1), p. 423 – 453, 2019.
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• Matúš Benko and Helmut Gfrerer.
• New verifiable stationarity concepts for a class of mathematical programs with disjunctive constraints.
• Optimization, vol. 67 (1), p. 1 – 23, 2018.
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• H Gfrerer and J V Outrata.
• On the Aubin property of a class of parameterized variational systems.
• Math. Methods Oper. Res. (Heidelb.), vol. 86 (3), p. 443 – 467, 2017.
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• Matúš Benko and Helmut Gfrerer.
• An SQP method for mathematical programs with vanishing constraints with strong convergence properties.
• Comput. Optim. Appl., vol. 67 (2), p. 361 – 399, 2017.
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• Helmut Gfrerer and Jane J Ye.
• New constraint qualifications for mathematical programs with equilibrium constraints via variational analysis.
• SIAM J. Optim., vol. 27 (2), p. 842 – 865, 2017.
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• Helmut Gfrerer and Boris S Mordukhovich.
• Robinson stability of parametric constraint systems via variational analysis.
• SIAM J. Optim., vol. 27 (1), p. 438 – 465, 2017.
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• Matus Benko and Helmut Gfrerer.
• On estimating the regular normal cone to constraint systems and stationarity conditions.
• Optimization, vol. 66 (1), p. 61 – 92, 2017.
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• Helmut Gfrerer and Jiří V Outrata.
• On computation of generalized derivatives of the normal-cone mapping and their applications.
• Math. Oper. Res., vol. 41 (4), p. 1535 – 1556, 2016.
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• Matus Benko and Helmut Gfrerer.
• An SQP method for mathematical programs with complementarity constraints with strong convergence properties.
• Kybernetika (Prague), p. 169 – 208, 2016.
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• Helmut Gfrerer and Jiří V Outrata.
• On lipschitzian properties of implicit multifunctions.
• SIAM J. Optim., vol. 26 (4), p. 2160 – 2189, 2016.
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• Helmut Gfrerer and Jiří V Outrata.
• On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications.
• Optimization, vol. 65 (4), p. 671 – 700, 2016.
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• Helmut Gfrerer and Diethard Klatte.
• Lipschitz and Hölder stability of optimization problems and generalized equations.
• Math. Program., vol. 158 (1-2), p. 35 – 75, 2016.
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• Helmut Gfrerer and Boris S Mordukhovich.
• Complete characterizations of tilt stability in nonlinear programming under weakest qualification conditions.
• SIAM J. Optim., vol. 25 (4), p. 2081 – 2119, 2015.
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• Helmut Gfrerer.
• Optimality conditions for disjunctive programs based on generalized differentiation with application to mathematical programs with equilibrium constraints.
• SIAM J. Optim., vol. 24 (2), p. 898 – 931, 2014.
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• Helmut Gfrerer.
• On metric pseudo-(sub)regularity of multifunctions and optimality conditions for degenerated mathematical programs.
• Set-Valued Var. Anal., vol. 22 (1), p. 79 – 115, 2014.
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• Helmut Gfrerer.
• On directional metric subregularity and second-order optimality conditions for a class of nonsmooth mathematical programs.
• SIAM J. Optim., vol. 23 (1), p. 632 – 665, 2013.
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• Helmut Gfrerer.
• On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs.
• Set-Valued Var. Anal., vol. 21 (2), p. 151 – 176, 2013.
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• Helmut Gfrerer.
• First order and second order characterizations of metric subregularity and calmness of constraint set mappings.
• SIAM J. Optim., vol. 21 (4), p. 1439 – 1474, 2011.
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• Helmut Gfrerer.
• Second-order necessary conditions for nonlinear optimization problems with abstract constraints: The degenerate case.
• SIAM J. Optim., vol. 18 (2), p. 589 – 612, 2007.
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• Helmut Gfrerer.
• Second-order optimality conditions for scalar and vector optimization problems in Banach spaces.
• SIAM j. control optim., vol. 45 (3), p. 972 – 997, 2006.
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• Helmut Gfrerer and Günther Zäpfel.
• Hierarchical model for production planning in the case of uncertain demand.
• Eur. J. Oper. Res., vol. 86 (1), p. 142 – 161, 1995.
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• Alsaied K M Elmoursi and Helmut Gfrerer.
• Algorithms and applications of nonlinear parameter estimation of orthogonal regression models.
• Adv. Eng. Softw., vol. 21 (2), p. 75 – 85, 1994.
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• Heinz W Engl and Helmut Gfrerer.
• A posteriori parameter choice for general regularization methods for solving linear ill-posed problems.
• Appl. Numer. Math., vol. 4 (5), p. 395 – 417, 1988.
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• W Bauer, H Gfrerer, E Lindner, Schwarz, A, and Wacker, Hj.
• Optimal production scheme for the gosau hydro power plant system.
• In: Large Scale Scientific Computing, p. 307 – 328, 1987.
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• Helmut Gfrerer.
• Parameter choice for Tikhonov regularization of ill-posed problems.
• In: Inverse and Ill-Posed Problems, p. 127 – 149, 1987.
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• H Gfrerer.
• Hölder continuity of solutions of perturbed optimization problems under Mangasrian-Fromovitz constraint qualification.
• In: Parametric Optimizationand related topics, p. 113 – 124, 1987.
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• Helmut Gfrerer.
• Supplement to an A posteriori parameter choice for ordinary and iterated Tikhonov regularization of ill-posed problems leading to optimal convergence rates.
• Math. Comput., vol. 49 (180), p. S5, 1987.
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• Helmut Gfrerer.
• An a posteriori parameter choice for ordinary and iterated Tikhonov regularization of ill-posed problems leading to optimal convergence rates.
• Math. Comput., vol. 49 (180), p. 507 – 522, 1987.
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• H Gfrerer.
• Globally convergent decomposition methods for nonconvex optimization problems.
• Computing, vol. 32 (3), p. 199 – 227, 1984.
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• H Gfrerer.
• Optimization of hydro energy storage plant problems by variational methods.
• Zeitschrift für Operations Research, vol. 28 (4), p. B87 – B101, 1984.
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• W Bauer, H Gfrerer, and Hj Wacker.
• Optimization strategies for hydro energy storage plants.
• Zeitschrift für Operations Research, vol. 28 (4), p. B103 – B131, 1984.
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• H Gfrerer, J Guddat, and Hj Wacker.
• A globally convergent algorithm based on imbedding and parametric optimization.
• Computing, vol. 30 (3), p. 225 – 252, 1983.
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• H Gfrerer, J Guddat, Hj Wacker, and W Zulehner.
• Globalization of locally convergent algorithms for nonlinear optimization problems with constraints.
• In: Lecture Notes in Economics and Mathematical Systems, p. 128 – 137, 1983.
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• H Gfrerer.
• Uniform convergence of interpolation by cubic splines.
• Computing, vol. 29 (4), p. 361 – 364, 1982.
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Articles in proceedings

• Helmut Gfrerer.
• Fallstudie: Einsatz von Methoden der nichtlinearen Optimierung bei der Konstruktion von Motoren.
• In: DGOR / ÖGOR, p. 224 – 224, 1993.
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Technical reports

• Helmut Gfrerer, Jiří V. Outrata and Jan Valdman.
• On the application of the semismooth* Newton method to variational inequalities of the second kind.
• July 2020
• arXiv:2007.11420 NuMa-Report 2020-04