Kirches, Christian; Larson, Jeffrey; Leyffer, Sven; Manns, Paul Sequential linearization method for bound-constrained mathematical programs with complementarity constraints. (English) Zbl 1484.90126 SIAM J. Optim. 32, No. 1, 75-99 (2022). MSC: 90C33 90C55 PDFBibTeX XMLCite \textit{C. Kirches} et al., SIAM J. Optim. 32, No. 1, 75--99 (2022; Zbl 1484.90126) Full Text: DOI arXiv
Beck, Amir; Teboulle, Marc Dual randomized coordinate descent method for solving a class of nonconvex problems. (English) Zbl 1472.90094 SIAM J. Optim. 31, No. 3, 1877-1896 (2021). MSC: 90C26 90C30 90C46 PDFBibTeX XMLCite \textit{A. Beck} and \textit{M. Teboulle}, SIAM J. Optim. 31, No. 3, 1877--1896 (2021; Zbl 1472.90094) Full Text: DOI
Harder, Felix; Mehlitz, Patrick; Wachsmuth, Gerd Reformulation of the M-stationarity conditions as a system of discontinuous equations and its solution by a semismooth Newton method. (English) Zbl 1467.49024 SIAM J. Optim. 31, No. 2, 1459-1488 (2021). MSC: 49M05 49M15 90C30 90C33 PDFBibTeX XMLCite \textit{F. Harder} et al., SIAM J. Optim. 31, No. 2, 1459--1488 (2021; Zbl 1467.49024) Full Text: DOI arXiv
Liu, Junyi; Cui, Ying; Pang, Jong-Shi; Sen, Suvrajeet Two-stage stochastic programming with linearly bi-parameterized quadratic recourse. (English) Zbl 1451.90106 SIAM J. Optim. 30, No. 3, 2530-2558 (2020). MSC: 90C15 90C26 PDFBibTeX XMLCite \textit{J. Liu} et al., SIAM J. Optim. 30, No. 3, 2530--2558 (2020; Zbl 1451.90106) Full Text: DOI
Nouiehed, Maher; Razaviyayn, Meisam A trust region method for finding second-order stationarity in linearly constrained nonconvex optimization. (English) Zbl 1450.90035 SIAM J. Optim. 30, No. 3, 2501-2529 (2020). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{M. Nouiehed} and \textit{M. Razaviyayn}, SIAM J. Optim. 30, No. 3, 2501--2529 (2020; Zbl 1450.90035) Full Text: DOI arXiv
Christof, Constantin; De los Reyes, Juan Carlos; Meyer, Christian A nonsmooth trust-region method for locally Lipschitz functions with application to optimization problems constrained by variational inequalities. (English) Zbl 1446.49006 SIAM J. Optim. 30, No. 3, 2163-2196 (2020). MSC: 49J40 49J52 65K05 90C26 90C56 PDFBibTeX XMLCite \textit{C. Christof} et al., SIAM J. Optim. 30, No. 3, 2163--2196 (2020; Zbl 1446.49006) Full Text: DOI arXiv
Betz, Livia M. Strong stationarity for optimal control of a nonsmooth coupled system: application to a viscous evolutionary variational inequality coupled with an elliptic PDE. (English) Zbl 1431.49028 SIAM J. Optim. 29, No. 4, 3069-3099 (2019). MSC: 49K20 34G25 34K35 49J20 49J27 PDFBibTeX XMLCite \textit{L. M. Betz}, SIAM J. Optim. 29, No. 4, 3069--3099 (2019; Zbl 1431.49028) Full Text: DOI
Benita, Francisco; Mehlitz, Patrick Optimal control problems with terminal complementarity constraints. (English) Zbl 1404.49011 SIAM J. Optim. 28, No. 4, 3079-3104 (2018). MSC: 49K15 49K27 90C30 90C33 PDFBibTeX XMLCite \textit{F. Benita} and \textit{P. Mehlitz}, SIAM J. Optim. 28, No. 4, 3079--3104 (2018; Zbl 1404.49011) Full Text: DOI
Andreani, Roberto; Secchin, Leonardo D.; Silva, Paulo J. S. Convergence properties of a second order augmented Lagrangian method for mathematical programs with complementarity constraints. (English) Zbl 1406.90114 SIAM J. Optim. 28, No. 3, 2574-2600 (2018). MSC: 90C30 90C33 65K05 49M37 PDFBibTeX XMLCite \textit{R. Andreani} et al., SIAM J. Optim. 28, No. 3, 2574--2600 (2018; Zbl 1406.90114) Full Text: DOI
Joki, Kaisa; Bagirov, Adil M.; Karmitsa, Napsu; Mäkelä, Marko M.; Taheri, Sona Double bundle method for finding Clarke stationary points in nonsmooth DC programming. (English) Zbl 1401.90170 SIAM J. Optim. 28, No. 2, 1892-1919 (2018). MSC: 90C26 49J52 65K05 PDFBibTeX XMLCite \textit{K. Joki} et al., SIAM J. Optim. 28, No. 2, 1892--1919 (2018; Zbl 1401.90170) Full Text: DOI
Carmon, Yair; Duchi, John C.; Hinder, Oliver; Sidford, Aaron Accelerated methods for nonconvex optimization. (English) Zbl 1400.90250 SIAM J. Optim. 28, No. 2, 1751-1772 (2018). MSC: 90C26 90C06 90C30 PDFBibTeX XMLCite \textit{Y. Carmon} et al., SIAM J. Optim. 28, No. 2, 1751--1772 (2018; Zbl 1400.90250) Full Text: DOI arXiv
Burdakov, Oleg P.; Kanzow, Christian; Schwartz, Alexandra Mathematical programs with cardinality constraints: reformulation by complementarity-type conditions and a regularization method. (English) Zbl 1332.90220 SIAM J. Optim. 26, No. 1, 397-425 (2016). MSC: 90C27 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{O. P. Burdakov} et al., SIAM J. Optim. 26, No. 1, 397--425 (2016; Zbl 1332.90220) Full Text: DOI Link
Wachsmuth, Gerd Strong stationarity for optimal control of the obstacle problem with control constraints. (English) Zbl 1328.49007 SIAM J. Optim. 24, No. 4, 1914-1932 (2014). MSC: 49J40 49K21 35J86 PDFBibTeX XMLCite \textit{G. Wachsmuth}, SIAM J. Optim. 24, No. 4, 1914--1932 (2014; Zbl 1328.49007) Full Text: DOI Link
Dempe, Stephan; Zemkoho, Alain B. KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization. (English) Zbl 1327.90377 SIAM J. Optim. 24, No. 4, 1639-1669 (2014). Reviewer: Do Van Luu (Hanoi) MSC: 90C46 90C26 90C30 90C33 90C31 PDFBibTeX XMLCite \textit{S. Dempe} and \textit{A. B. Zemkoho}, SIAM J. Optim. 24, No. 4, 1639--1669 (2014; Zbl 1327.90377) Full Text: DOI Link
Fasano, G.; Liuzzi, G.; Lucidi, S.; Rinaldi, F. A linesearch-based derivative-free approach for nonsmooth constrained optimization. (English) Zbl 1302.90207 SIAM J. Optim. 24, No. 3, 959-992 (2014). MSC: 90C30 90C56 65K05 49J52 PDFBibTeX XMLCite \textit{G. Fasano} et al., SIAM J. Optim. 24, No. 3, 959--992 (2014; Zbl 1302.90207) Full Text: DOI Link
Gfrerer, Helmut Optimality conditions for disjunctive programs based on generalized differentiation with application to mathematical programs with equilibrium constraints. (English) Zbl 1298.49021 SIAM J. Optim. 24, No. 2, 898-931 (2014). MSC: 49J52 49J53 49K21 90C33 90C56 PDFBibTeX XMLCite \textit{H. Gfrerer}, SIAM J. Optim. 24, No. 2, 898--931 (2014; Zbl 1298.49021) Full Text: DOI arXiv
Beck, Amir; Eldar, Yonina C. Sparsity constrained nonlinear optimization: optimality conditions and algorithms. (English) Zbl 1295.90051 SIAM J. Optim. 23, No. 3, 1480-1509 (2013). Reviewer: Stephan Dempe (Freiberg) MSC: 90C26 90C46 PDFBibTeX XMLCite \textit{A. Beck} and \textit{Y. C. Eldar}, SIAM J. Optim. 23, No. 3, 1480--1509 (2013; Zbl 1295.90051) Full Text: DOI arXiv
Kanzow, Christian; Schwartz, Alexandra A new regularization method for mathematical programs with complementarity constraints with strong convergence properties. (English) Zbl 1282.65069 SIAM J. Optim. 23, No. 2, 770-798 (2013). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C33 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{A. Schwartz}, SIAM J. Optim. 23, No. 2, 770--798 (2013; Zbl 1282.65069) Full Text: DOI Link
Herzog, Roland; Meyer, Christian; Wachsmuth, Gerd B- and strong stationarity for optimal control of static plasticity with hardening. (English) Zbl 1266.49013 SIAM J. Optim. 23, No. 1, 321-352 (2013). MSC: 49J40 70Q05 74C05 35R45 PDFBibTeX XMLCite \textit{R. Herzog} et al., SIAM J. Optim. 23, No. 1, 321--352 (2013; Zbl 1266.49013) Full Text: DOI
Izmailov, A. F.; Solodov, M. V.; Uskov, E. I. Global convergence of augmented Lagrangian methods applied to optimization problems with degenerate constraints, including problems with complementarity constraints. (English) Zbl 1274.90385 SIAM J. Optim. 22, No. 4, 1579-1606 (2012). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C30 90C33 90C55 65K05 PDFBibTeX XMLCite \textit{A. F. Izmailov} et al., SIAM J. Optim. 22, No. 4, 1579--1606 (2012; Zbl 1274.90385) Full Text: DOI
Guo, Lei; Lin, Gui-Hua; Ye, Jane J. Stability analysis for parametric mathematical programs with geometric constraints and its applications. (English) Zbl 1258.49035 SIAM J. Optim. 22, No. 3, 1151-1176 (2012). Reviewer: Tullio Zolezzi (Genova) MSC: 49K40 90C31 PDFBibTeX XMLCite \textit{L. Guo} et al., SIAM J. Optim. 22, No. 3, 1151--1176 (2012; Zbl 1258.49035) Full Text: DOI Link
Hintermüller, M.; Surowiec, T. First-order optimality conditions for elliptic mathematical programs with equilibrium constraints via variational analysis. (English) Zbl 1248.49030 SIAM J. Optim. 21, No. 4, 1561-1593 (2011). MSC: 49K20 49J53 65K10 90C33 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Surowiec}, SIAM J. Optim. 21, No. 4, 1561--1593 (2011; Zbl 1248.49030) Full Text: DOI Link
Meng, K. W.; Yang, X. Q. Optimality conditions via exact penalty functions. (English) Zbl 1229.90202 SIAM J. Optim. 20, No. 6, 3208-3231 (2010). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C30 90C33 90C46 PDFBibTeX XMLCite \textit{K. W. Meng} and \textit{X. Q. Yang}, SIAM J. Optim. 20, No. 6, 3208--3231 (2010; Zbl 1229.90202) Full Text: DOI Link
Kanzow, Christian; Schwartz, Alexandra Mathematical programs with equilibrium constraints: enhanced Fritz John-conditions, new constraint qualifications, and improved exact penalty results. (English) Zbl 1208.49016 SIAM J. Optim. 20, No. 5, 2730-2753 (2010). MSC: 49K10 90C33 49M30 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{A. Schwartz}, SIAM J. Optim. 20, No. 5, 2730--2753 (2010; Zbl 1208.49016) Full Text: DOI Link
Steffensen, Sonja; Ulbrich, Michael A new relaxation scheme for mathematical programs with equilibrium constraints. (English) Zbl 1231.90350 SIAM J. Optim. 20, No. 5, 2504-2539 (2010). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C30 90C33 49M37 65K05 PDFBibTeX XMLCite \textit{S. Steffensen} and \textit{M. Ulbrich}, SIAM J. Optim. 20, No. 5, 2504--2539 (2010; Zbl 1231.90350) Full Text: DOI
Hintermüller, M.; Kopacka, I. Mathematical programs with complementarity constraints in function space: C- and strong stationarity and a path-following algorithm. (English) Zbl 1189.49032 SIAM J. Optim. 20, No. 2, 868-902 (2009). MSC: 49K20 49M15 65K05 90C33 35J87 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{I. Kopacka}, SIAM J. Optim. 20, No. 2, 868--902 (2009; Zbl 1189.49032) Full Text: DOI Link
Jongen, H. Th.; Rückmann, Jan.-J.; Shikhman, V. MPCC: critical point theory. (English) Zbl 1229.90139 SIAM J. Optim. 20, No. 1, 473-484 (2009). Reviewer: Jian Wen Peng (Chongqing) MSC: 90C26 90C33 PDFBibTeX XMLCite \textit{H. Th. Jongen} et al., SIAM J. Optim. 20, No. 1, 473--484 (2009; Zbl 1229.90139) Full Text: DOI
Scholtes, Stefan Convergence properties of a regularization scheme for mathematical programs with complementarity constraints. (English) Zbl 1010.90086 SIAM J. Optim. 11, No. 4, 918-936 (2001). MSC: 90C33 90C31 90C30 PDFBibTeX XMLCite \textit{S. Scholtes}, SIAM J. Optim. 11, No. 4, 918--936 (2001; Zbl 1010.90086) Full Text: DOI