Ansary, Md Abu Talhamainuddin A Newton-type proximal gradient method for nonlinear multi-objective optimization problems. (English) Zbl 1522.90085 Optim. Methods Softw. 38, No. 3, 570-590 (2023). MSC: 90C25 90C29 49M37 65K10 PDFBibTeX XMLCite \textit{M. A. T. Ansary}, Optim. Methods Softw. 38, No. 3, 570--590 (2023; Zbl 1522.90085) Full Text: DOI arXiv
Petra, Cosmin G.; Salazar De Troya, Miguel; Petra, Noemi; Choi, Youngsoo; Oxberry, Geoffrey M.; Tortorelli, Daniel On the implementation of a quasi-Newton interior-point method for PDE-constrained optimization using finite element discretizations. (English) Zbl 1505.49024 Optim. Methods Softw. 38, No. 1, 59-90 (2023). MSC: 49M41 49M15 65K10 65M60 PDFBibTeX XMLCite \textit{C. G. Petra} et al., Optim. Methods Softw. 38, No. 1, 59--90 (2023; Zbl 1505.49024) Full Text: DOI
Hu, Jia; Han, Congying; Guo, Tiande; Zhao, Tong On inexact stochastic splitting methods for a class of nonconvex composite optimization problems with relative error. (English) Zbl 07663249 Optim. Methods Softw. 38, No. 1, 1-33 (2023). MSC: 47N10 65K10 PDFBibTeX XMLCite \textit{J. Hu} et al., Optim. Methods Softw. 38, No. 1, 1--33 (2023; Zbl 07663249) Full Text: DOI
Alves, M. Marques Variants of the A-HPE and large-step A-HPE algorithms for strongly convex problems with applications to accelerated high-order tensor methods. (English) Zbl 1509.90227 Optim. Methods Softw. 37, No. 6, 2021-2051 (2022). MSC: 90C60 90C25 47H05 65K10 PDFBibTeX XMLCite \textit{M. M. Alves}, Optim. Methods Softw. 37, No. 6, 2021--2051 (2022; Zbl 1509.90227) Full Text: DOI arXiv
Chang, Xiaokai; Liu, Sanyang; Deng, Zhao; Li, Suoping An inertial subgradient extragradient algorithm with adaptive stepsizes for variational inequality problems. (English) Zbl 1514.47094 Optim. Methods Softw. 37, No. 4, 1507-1526 (2022). MSC: 47J25 47J20 90C25 90C30 90C52 PDFBibTeX XMLCite \textit{X. Chang} et al., Optim. Methods Softw. 37, No. 4, 1507--1526 (2022; Zbl 1514.47094) Full Text: DOI
Ahmadzadeh, Hani; Mahdavi-Amiri, Nezam A competitive inexact nonmonotone filter SQP method: convergence analysis and numerical results. (English) Zbl 1509.90194 Optim. Methods Softw. 37, No. 4, 1310-1343 (2022). MSC: 90C30 90C55 65K05 65K10 65K15 PDFBibTeX XMLCite \textit{H. Ahmadzadeh} and \textit{N. Mahdavi-Amiri}, Optim. Methods Softw. 37, No. 4, 1310--1343 (2022; Zbl 1509.90194) Full Text: DOI
Tang, Jingyong; Zhou, Jinchuan A modified damped Gauss-Newton method for non-monotone weighted linear complementarity problems. (English) Zbl 1502.90178 Optim. Methods Softw. 37, No. 3, 1145-1164 (2022). MSC: 90C33 90C56 PDFBibTeX XMLCite \textit{J. Tang} and \textit{J. Zhou}, Optim. Methods Softw. 37, No. 3, 1145--1164 (2022; Zbl 1502.90178) Full Text: DOI
Torrealba, E. M. R.; Matioli, L. C.; Nasri, M.; Castillo, R. A. Exponential augmented Lagrangian methods for equilibrium problems. (English) Zbl 1501.90102 Optim. Methods Softw. 37, No. 1, 295-319 (2022). MSC: 90C33 PDFBibTeX XMLCite \textit{E. M. R. Torrealba} et al., Optim. Methods Softw. 37, No. 1, 295--319 (2022; Zbl 1501.90102) Full Text: DOI
Karl, Veronika; Pörner, Frank On the uniqueness of non-reducible multi-player control problems. (English) Zbl 1494.91005 Optim. Methods Softw. 36, No. 6, 1259-1288 (2021). MSC: 91A11 65K15 49J40 PDFBibTeX XMLCite \textit{V. Karl} and \textit{F. Pörner}, Optim. Methods Softw. 36, No. 6, 1259--1288 (2021; Zbl 1494.91005) Full Text: DOI
Stonyakin, Fedor; Tyurin, Alexander; Gasnikov, Alexander; Dvurechensky, Pavel; Agafonov, Artem; Dvinskikh, Darina; Alkousa, Mohammad; Pasechnyuk, Dmitry; Artamonov, Sergei; Piskunova, Victorya Inexact model: a framework for optimization and variational inequalities. (English) Zbl 1489.65089 Optim. Methods Softw. 36, No. 6, 1155-1201 (2021). MSC: 65K05 65K15 90C06 PDFBibTeX XMLCite \textit{F. Stonyakin} et al., Optim. Methods Softw. 36, No. 6, 1155--1201 (2021; Zbl 1489.65089) Full Text: DOI arXiv
Peña, Javier; Soheili, Negar Computational performance of a projection and rescaling algorithm. (English) Zbl 1511.65159 Optim. Methods Softw. 36, No. 5, 934-951 (2021). MSC: 65Y20 65K99 PDFBibTeX XMLCite \textit{J. Peña} and \textit{N. Soheili}, Optim. Methods Softw. 36, No. 5, 934--951 (2021; Zbl 1511.65159) Full Text: DOI arXiv
Farrell, Patrick E.; Croci, Matteo; Surowiec, Thomas M. Deflation for semismooth equations. (English) Zbl 1467.65067 Optim. Methods Softw. 35, No. 6, 1248-1271 (2020). MSC: 65K15 65P30 65H10 35M86 90C33 PDFBibTeX XMLCite \textit{P. E. Farrell} et al., Optim. Methods Softw. 35, No. 6, 1248--1271 (2020; Zbl 1467.65067) Full Text: DOI arXiv
Luo, Shousheng; Zhang, Yanchun; Zhou, Tie; Song, Jinping; Wang, Yanfei XCT image reconstruction by a modified superiorized iteration and theoretical analysis. (English) Zbl 1466.94007 Optim. Methods Softw. 35, No. 6, 1080-1097 (2020). Reviewer: Agnieszka Lisowska (Sosnowiec) MSC: 94A08 92C55 15A29 65K10 68U10 PDFBibTeX XMLCite \textit{S. Luo} et al., Optim. Methods Softw. 35, No. 6, 1080--1097 (2020; Zbl 1466.94007) Full Text: DOI
Kučera, Radek; Motyčková, K.; Markopoulos, A.; Haslinger, J. On the inexact symmetrized globally convergent semi-smooth Newton method for 3D contact problems with Tresca friction: the R-linear convergence rate. (English) Zbl 07136209 Optim. Methods Softw. 35, No. 1, 65-86 (2020). MSC: 65K10 65N22 49M29 74M15 74M10 PDFBibTeX XMLCite \textit{R. Kučera} et al., Optim. Methods Softw. 35, No. 1, 65--86 (2020; Zbl 07136209) Full Text: DOI
Lesaja, Goran; Potra, Florian Adaptive full Newton-step infeasible interior-point method for sufficient horizontal LCP. (English) Zbl 1429.90098 Optim. Methods Softw. 34, No. 5, 1014-1034 (2019). MSC: 90C51 90C33 PDFBibTeX XMLCite \textit{G. Lesaja} and \textit{F. Potra}, Optim. Methods Softw. 34, No. 5, 1014--1034 (2019; Zbl 1429.90098) Full Text: DOI
Wang, Xiaoyu; Wang, Xiao; Yuan, Ya-Xiang Stochastic proximal quasi-Newton methods for non-convex composite optimization. (English) Zbl 07111868 Optim. Methods Softw. 34, No. 5, 922-948 (2019). MSC: 47N10 65K10 PDFBibTeX XMLCite \textit{X. Wang} et al., Optim. Methods Softw. 34, No. 5, 922--948 (2019; Zbl 07111868) Full Text: DOI
Tu, K.; Zhang, H. B.; Xia, F. Q. A new alternating projection-based prediction-correction method for structured variational inequalities. (English) Zbl 1423.90256 Optim. Methods Softw. 34, No. 4, 707-730 (2019). MSC: 90C33 PDFBibTeX XMLCite \textit{K. Tu} et al., Optim. Methods Softw. 34, No. 4, 707--730 (2019; Zbl 1423.90256) Full Text: DOI
Abdi, Fatemeh; Shakeri, Fatemeh A globally convergent BFGS method for pseudo-monotone variational inequality problems. (English) Zbl 1406.49008 Optim. Methods Softw. 34, No. 1, 25-36 (2019). MSC: 49J40 49M15 90C33 PDFBibTeX XMLCite \textit{F. Abdi} and \textit{F. Shakeri}, Optim. Methods Softw. 34, No. 1, 25--36 (2019; Zbl 1406.49008) Full Text: DOI
Blanchard, Eunice; Loxton, Ryan; Rehbock, Volker Dynamic optimization of dual-mode hybrid systems with state-dependent switching conditions. (English) Zbl 1390.49039 Optim. Methods Softw. 33, No. 2, 297-310 (2018). MSC: 49M37 65K10 90C30 92C50 PDFBibTeX XMLCite \textit{E. Blanchard} et al., Optim. Methods Softw. 33, No. 2, 297--310 (2018; Zbl 1390.49039) Full Text: DOI Link
Kraft, D. Self-consistent gradient flow for shape optimization. (English) Zbl 1379.49040 Optim. Methods Softw. 32, No. 4, 790-812 (2017). MSC: 49Q10 65D18 65J22 65K10 PDFBibTeX XMLCite \textit{D. Kraft}, Optim. Methods Softw. 32, No. 4, 790--812 (2017; Zbl 1379.49040) Full Text: DOI
Dreves, Axel; Sudermann-Merx, Nathan Solving linear generalized Nash equilibrium problems numerically. (English) Zbl 1348.91012 Optim. Methods Softw. 31, No. 5, 1036-1063 (2016). MSC: 91A10 65K10 90C33 90C51 90C56 PDFBibTeX XMLCite \textit{A. Dreves} and \textit{N. Sudermann-Merx}, Optim. Methods Softw. 31, No. 5, 1036--1063 (2016; Zbl 1348.91012) Full Text: DOI
Zhu, Xide; Lin, Gui-Hua Improved convergence results for a modified Levenberg-Marquardt method for nonlinear equations and applications in MPCC. (English) Zbl 1386.90154 Optim. Methods Softw. 31, No. 4, 791-804 (2016). MSC: 90C30 90C33 90C46 PDFBibTeX XMLCite \textit{X. Zhu} and \textit{G.-H. Lin}, Optim. Methods Softw. 31, No. 4, 791--804 (2016; Zbl 1386.90154) Full Text: DOI
Tian, Boshi; Li, Donghui; Yang, Xiaoqi An unconstrained differentiable penalty method for implicit complementarity problems. (English) Zbl 1349.90804 Optim. Methods Softw. 31, No. 4, 775-790 (2016). MSC: 90C33 65K15 49M30 PDFBibTeX XMLCite \textit{B. Tian} et al., Optim. Methods Softw. 31, No. 4, 775--790 (2016; Zbl 1349.90804) Full Text: DOI
Keskar, N.; Nocedal, J.; Öztoprak, F.; Wächter, A. A second-order method for convex \(\ell_1\)-regularized optimization with active-set prediction. (English) Zbl 1341.49039 Optim. Methods Softw. 31, No. 3, 605-621 (2016). MSC: 49M30 65K10 PDFBibTeX XMLCite \textit{N. Keskar} et al., Optim. Methods Softw. 31, No. 3, 605--621 (2016; Zbl 1341.49039) Full Text: DOI arXiv
Khatibzadeh, Hadi; Mohebbi, Vahid; Ranjbar, Sajad Convergence analysis of the proximal point algorithm for pseudo-monotone equilibrium problems. (English) Zbl 1332.47050 Optim. Methods Softw. 30, No. 6, 1146-1163 (2015). MSC: 47J25 47J20 47H05 PDFBibTeX XMLCite \textit{H. Khatibzadeh} et al., Optim. Methods Softw. 30, No. 6, 1146--1163 (2015; Zbl 1332.47050) Full Text: DOI
Santos, P. S. M.; Scheimberg, S. An outer approximation algorithm for equilibrium problems in Hilbert spaces. (English) Zbl 1327.65127 Optim. Methods Softw. 30, No. 2, 379-390 (2015). MSC: 65K15 90C90 34K28 PDFBibTeX XMLCite \textit{P. S. M. Santos} and \textit{S. Scheimberg}, Optim. Methods Softw. 30, No. 2, 379--390 (2015; Zbl 1327.65127) Full Text: DOI
Smirnov, G. Complexity of the Newton method for set-valued maps. (English) Zbl 1301.49071 Optim. Methods Softw. 29, No. 5, 1163-1180 (2014). MSC: 49M15 49J53 68W40 93B40 PDFBibTeX XMLCite \textit{G. Smirnov}, Optim. Methods Softw. 29, No. 5, 1163--1180 (2014; Zbl 1301.49071) Full Text: DOI
Di Lorenzo, David; Passacantando, Mauro; Sciandrone, Marco A convergent inexact solution method for equilibrium problems. (English) Zbl 1298.90115 Optim. Methods Softw. 29, No. 5, 979-991 (2014). MSC: 90C33 90C30 PDFBibTeX XMLCite \textit{D. Di Lorenzo} et al., Optim. Methods Softw. 29, No. 5, 979--991 (2014; Zbl 1298.90115) Full Text: DOI
Lu, Zhaosong Primal-dual first-order methods for a class of cone programming. (English) Zbl 1310.65067 Optim. Methods Softw. 28, No. 6, 1262-1281 (2013). MSC: 65K05 65K10 90C05 90C22 90C25 PDFBibTeX XMLCite \textit{Z. Lu}, Optim. Methods Softw. 28, No. 6, 1262--1281 (2013; Zbl 1310.65067) Full Text: DOI
Li, Pei-Yu; He, Zhi-Feng; Lin, Gui-Hua Sampling average approximation method for a class of stochastic Nash equilibrium problems. (English) Zbl 1278.65069 Optim. Methods Softw. 28, No. 4, 785-795 (2013). MSC: 65H10 65K10 90C15 90C33 PDFBibTeX XMLCite \textit{P.-Y. Li} et al., Optim. Methods Softw. 28, No. 4, 785--795 (2013; Zbl 1278.65069) Full Text: DOI
He, Hongjin; Han, Deren; Sun, Wenyu; Chen, Yannan A hybrid splitting method for variational inequality problems with separable structure. (English) Zbl 1278.65089 Optim. Methods Softw. 28, No. 4, 725-742 (2013). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{H. He} et al., Optim. Methods Softw. 28, No. 4, 725--742 (2013; Zbl 1278.65089) Full Text: DOI
He, Bingsheng; Yuan, Xiaoming Forward-backward-based descent methods for composite variational inequalities. (English) Zbl 1282.90196 Optim. Methods Softw. 28, No. 4, 706-724 (2013). MSC: 90C33 PDFBibTeX XMLCite \textit{B. He} and \textit{X. Yuan}, Optim. Methods Softw. 28, No. 4, 706--724 (2013; Zbl 1282.90196) Full Text: DOI
Kanamori, Takafumi; Ohara, Atsumi A Bregman extension of quasi-Newton updates I: An information geometrical framework. (English) Zbl 1288.90108 Optim. Methods Softw. 28, No. 1, 96-123 (2013). MSC: 90C33 PDFBibTeX XMLCite \textit{T. Kanamori} and \textit{A. Ohara}, Optim. Methods Softw. 28, No. 1, 96--123 (2013; Zbl 1288.90108) Full Text: DOI arXiv
Lesaja, G.; Wang, G. Q.; Zhu, D. T. Interior-point methods for Cartesian \(P_{\ast}(\kappa)\)-linear complementarity problems over symmetric cones based on the eligible kernel functions. (English) Zbl 1254.90256 Optim. Methods Softw. 27, No. 4-5, 827-843 (2012). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{G. Lesaja} et al., Optim. Methods Softw. 27, No. 4--5, 827--843 (2012; Zbl 1254.90256) Full Text: DOI
Hinze, Michael; Vierling, Morten The semi-smooth Newton method for variationally discretized control constrained elliptic optimal control problems; implementation, convergence and globalization. (English) Zbl 1244.49050 Optim. Methods Softw. 27, No. 6, 933-950 (2012). MSC: 49M15 49J20 49K20 PDFBibTeX XMLCite \textit{M. Hinze} and \textit{M. Vierling}, Optim. Methods Softw. 27, No. 6, 933--950 (2012; Zbl 1244.49050) Full Text: DOI arXiv
Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra Convergence of a local regularization approach for mathematical programmes with complementarity or vanishing constraints. (English) Zbl 1266.90170 Optim. Methods Softw. 27, No. 3, 483-512 (2012). MSC: 90C30 90C33 PDFBibTeX XMLCite \textit{T. Hoheisel} et al., Optim. Methods Softw. 27, No. 3, 483--512 (2012; Zbl 1266.90170) Full Text: DOI
Zhang, Jian; Zhang, Kecun An inexact smoothing method for the monotone complementarity problem over symmetric cones. (English) Zbl 1243.49036 Optim. Methods Softw. 27, No. 3, 445-459 (2012). MSC: 49M15 65K10 90C33 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{K. Zhang}, Optim. Methods Softw. 27, No. 3, 445--459 (2012; Zbl 1243.49036) Full Text: DOI
Śmietański, Marek J. Some superlinearly convergent inexact generalized Newton method for solving nonsmooth equations. (English) Zbl 1254.65066 Optim. Methods Softw. 27, No. 3, 405-417 (2012). Reviewer: Juri M. Rappoport (Moskva) MSC: 65H10 90C53 90C33 PDFBibTeX XMLCite \textit{M. J. Śmietański}, Optim. Methods Softw. 27, No. 3, 405--417 (2012; Zbl 1254.65066) Full Text: DOI
Fang, Haw-Ren; Leyffer, Sven; Munson, Todd A pivoting algorithm for linear programming with linear complementarity constraints. (English) Zbl 1311.90152 Optim. Methods Softw. 27, No. 1, 89-114 (2012). MSC: 90C33 65K15 90C49 PDFBibTeX XMLCite \textit{H.-R. Fang} et al., Optim. Methods Softw. 27, No. 1, 89--114 (2012; Zbl 1311.90152) Full Text: DOI
Shang, Yufeng; Xu, Qing; Yu, Bo A globally convergent non-interior point homotopy method for solving variational inequalities. (English) Zbl 1229.90240 Optim. Methods Softw. 26, No. 6, 933-943 (2011). MSC: 90C33 PDFBibTeX XMLCite \textit{Y. Shang} et al., Optim. Methods Softw. 26, No. 6, 933--943 (2011; Zbl 1229.90240) Full Text: DOI
Izmailov, A. F.; Pogosyan, A. L.; Solodov, M. V. Semismooth SQP method for equality-constrained optimization problems with an application to the lifted reformulation of mathematical programs with complementarity constraints. (English) Zbl 1254.90228 Optim. Methods Softw. 26, No. 4-5, 847-872 (2011). MSC: 90C30 90C33 90C55 65K05 PDFBibTeX XMLCite \textit{A. F. Izmailov} et al., Optim. Methods Softw. 26, No. 4--5, 847--872 (2011; Zbl 1254.90228) Full Text: DOI
Censor, Yair; Gibali, Aviv; Reich, Simeon Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space. (English) Zbl 1232.58008 Optim. Methods Softw. 26, No. 4-5, 827-845 (2011). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58E35 58E50 PDFBibTeX XMLCite \textit{Y. Censor} et al., Optim. Methods Softw. 26, No. 4--5, 827--845 (2011; Zbl 1232.58008) Full Text: DOI
Feng, Liming; Linetsky, Vadim; Morales, José Luis; Nocedal, Jorge On the solution of complementarity problems arising in American options pricing. (English) Zbl 1229.90230 Optim. Methods Softw. 26, No. 4-5, 813-825 (2011). MSC: 90C33 91G20 PDFBibTeX XMLCite \textit{L. Feng} et al., Optim. Methods Softw. 26, No. 4--5, 813--825 (2011; Zbl 1229.90230) Full Text: DOI
Hintermüller, M.; Kovtunenko, V. A. From shape variation to topological changes in constrained minimization: a velocity method-based concept. (English) Zbl 1245.49058 Optim. Methods Softw. 26, No. 4-5, 513-532 (2011). MSC: 49Q10 49J40 49K40 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{V. A. Kovtunenko}, Optim. Methods Softw. 26, No. 4--5, 513--532 (2011; Zbl 1245.49058) Full Text: DOI Link
Sun, Zhe; Zeng, Jinping A damped semismooth Newton method for mixed linear complementarity problems. (English) Zbl 1251.90369 Optim. Methods Softw. 26, No. 2, 187-205 (2011). MSC: 90C33 65H10 90C53 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{J. Zeng}, Optim. Methods Softw. 26, No. 2, 187--205 (2011; Zbl 1251.90369) Full Text: DOI
Langenberg, Nils Convergence analysis of an extended auxiliary problem principle with various stopping criteria. (English) Zbl 1238.65058 Optim. Methods Softw. 26, No. 1, 127-154 (2011). Reviewer: Sergei V. Rogosin (Minsk) MSC: 65K10 49J53 47H05 47J20 90C25 49J40 49M37 PDFBibTeX XMLCite \textit{N. Langenberg}, Optim. Methods Softw. 26, No. 1, 127--154 (2011; Zbl 1238.65058) Full Text: DOI
Pan, Shaohua; Chen, Jein-Shan A least-square semismooth Newton method for the second-order cone complementarity problem. (English) Zbl 1251.90368 Optim. Methods Softw. 26, No. 1, 1-22 (2011). MSC: 90C33 PDFBibTeX XMLCite \textit{S. Pan} and \textit{J.-S. Chen}, Optim. Methods Softw. 26, No. 1, 1--22 (2011; Zbl 1251.90368) Full Text: DOI
Peng, Jian-Wen; Yao, Jen-Chih Some new extragradient-like methods for generalized equilibrium problems, fixed point problems and variational inequality problems. (English) Zbl 1228.90128 Optim. Methods Softw. 25, No. 5, 677-698 (2010). MSC: 90C33 90C48 PDFBibTeX XMLCite \textit{J.-W. Peng} and \textit{J.-C. Yao}, Optim. Methods Softw. 25, No. 5, 677--698 (2010; Zbl 1228.90128) Full Text: DOI
Huebner, E.; Tichatschke, R. Relaxed proximal point algorithms for variational inequalities with multi-valued operators. (English) Zbl 1154.90566 Optim. Methods Softw. 23, No. 6, 847-877 (2008). MSC: 90C25 90C30 65J20 65K10 47J20 47H05 PDFBibTeX XMLCite \textit{E. Huebner} and \textit{R. Tichatschke}, Optim. Methods Softw. 23, No. 6, 847--877 (2008; Zbl 1154.90566) Full Text: DOI
Kanzow, Christian; Petra, Stefania Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. (English) Zbl 1188.90258 Optim. Methods Softw. 22, No. 5, 713-735 (2007). MSC: 90C33 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{S. Petra}, Optim. Methods Softw. 22, No. 5, 713--735 (2007; Zbl 1188.90258) Full Text: DOI
Xu, Qing; Yu, Bo; Feng, Guochen; Dang, Chuangyin Condition for global convergence of a homotopy method for variational inequality problems on unbounded sets. (English) Zbl 1186.90111 Optim. Methods Softw. 22, No. 4, 587-599 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 90C30 65K10 49M37 PDFBibTeX XMLCite \textit{Q. Xu} et al., Optim. Methods Softw. 22, No. 4, 587--599 (2007; Zbl 1186.90111) Full Text: DOI
Meyer, Christian; Prüfert, U.; Tröltzsch, F. On two numerical methods for state-constrained elliptic control problems. (English) Zbl 1172.49022 Optim. Methods Softw. 22, No. 6, 871-899 (2007). MSC: 49N10 49K20 65K10 93B40 93C10 PDFBibTeX XMLCite \textit{C. Meyer} et al., Optim. Methods Softw. 22, No. 6, 871--899 (2007; Zbl 1172.49022) Full Text: DOI Link
Ye, Caihong; Yuan, Xiaoming A descent method for structured monotone variational inequalities. (English) Zbl 1196.90118 Optim. Methods Softw. 22, No. 2, 329-338 (2007). Reviewer: Gongyun Zhao (Singapore) MSC: 90C33 65K10 PDFBibTeX XMLCite \textit{C. Ye} and \textit{X. Yuan}, Optim. Methods Softw. 22, No. 2, 329--338 (2007; Zbl 1196.90118) Full Text: DOI
Griewank, Andreas; Walther, Andrea; Korzec, Maciek Maintaining factorized KKT systems subject to rank-one updates of Hessians and Jacobians. (English) Zbl 1196.90130 Optim. Methods Softw. 22, No. 2, 279-295 (2007). MSC: 90C53 90C30 65K10 PDFBibTeX XMLCite \textit{A. Griewank} et al., Optim. Methods Softw. 22, No. 2, 279--295 (2007; Zbl 1196.90130) Full Text: DOI
Zhang, Ji-Wei; Li, Dong-Hui A norm descent BFGS method for solving KKT systems of symmetric variational inequality problems. (English) Zbl 1130.90057 Optim. Methods Softw. 22, No. 2, 237-252 (2007). Reviewer: Carlos Narciso Bouza Herrera (Habana) MSC: 90C55 65K10 PDFBibTeX XMLCite \textit{J.-W. Zhang} and \textit{D.-H. Li}, Optim. Methods Softw. 22, No. 2, 237--252 (2007; Zbl 1130.90057) Full Text: DOI
Zhong, Ping; Fukushima, Masao Regularized nonsmooth Newton method for multi-class support vector machines. (English) Zbl 1188.68256 Optim. Methods Softw. 22, No. 1, 225-236 (2007). MSC: 68T10 68T05 65K05 68Q32 PDFBibTeX XMLCite \textit{P. Zhong} and \textit{M. Fukushima}, Optim. Methods Softw. 22, No. 1, 225--236 (2007; Zbl 1188.68256) Full Text: DOI
Gänzler, T.; Volkwein, S.; Weiser, M. SQP methods for parameter identification problems arising in hyperthermia. (English) Zbl 1113.65067 Optim. Methods Softw. 21, No. 6, 869-887 (2006). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65K10 65N21 92C55 35R30 49M15 78A70 49J20 PDFBibTeX XMLCite \textit{T. Gänzler} et al., Optim. Methods Softw. 21, No. 6, 869--887 (2006; Zbl 1113.65067) Full Text: DOI
Sun, Jie; Huang, Zheng-Hai A smoothing Newton algorithm for the LCP with a sufficient matrix that terminates finitely at a maximally complementary solution. (English) Zbl 1113.90158 Optim. Methods Softw. 21, No. 4, 597-615 (2006). MSC: 90C33 65K10 PDFBibTeX XMLCite \textit{J. Sun} and \textit{Z.-H. Huang}, Optim. Methods Softw. 21, No. 4, 597--615 (2006; Zbl 1113.90158) Full Text: DOI
De Los Reyes, J. C. Primal–dual active set method for control constrained optimal control of the Stokes equations. (English) Zbl 1091.49026 Optim. Methods Softw. 21, No. 2, 267-293 (2006). MSC: 49M25 35Q30 49J20 65K10 76D07 76D55 49M29 PDFBibTeX XMLCite \textit{J. C. De Los Reyes}, Optim. Methods Softw. 21, No. 2, 267--293 (2006; Zbl 1091.49026) Full Text: DOI
Kearsley, Anthony J. Matrix-free algorithm for the large-scale constrained trust-region subproblem. (English) Zbl 1095.90086 Optim. Methods Softw. 21, No. 2, 233-245 (2006). MSC: 90C20 65K10 PDFBibTeX XMLCite \textit{A. J. Kearsley}, Optim. Methods Softw. 21, No. 2, 233--245 (2006; Zbl 1095.90086) Full Text: DOI
Konnov, Igor V. Partial proximal point method for nonmonotone equilibrium problems. (English) Zbl 1136.90506 Optim. Methods Softw. 21, No. 3, 373-384 (2006). MSC: 90C47 49J40 47J06 65K05 PDFBibTeX XMLCite \textit{I. V. Konnov}, Optim. Methods Softw. 21, No. 3, 373--384 (2006; Zbl 1136.90506) Full Text: DOI
Li, Zhang A globally convergent BFGS method for nonconvex minimization without line searches. (English) Zbl 1127.90416 Optim. Methods Softw. 20, No. 6, 737-747 (2005). MSC: 90C55 65K10 PDFBibTeX XMLCite \textit{Z. Li}, Optim. Methods Softw. 20, No. 6, 737--747 (2005; Zbl 1127.90416) Full Text: DOI
Landi, Germana; Piccolomini, Elena Loli A total variation regularization strategy in dynamic MRI. (English) Zbl 1082.65066 Optim. Methods Softw. 20, No. 4-5, 545-558 (2005). MSC: 65K10 92C55 49J20 49M25 PDFBibTeX XMLCite \textit{G. Landi} and \textit{E. L. Piccolomini}, Optim. Methods Softw. 20, No. 4--5, 545--558 (2005; Zbl 1082.65066) Full Text: DOI
Demyanov, V. F. An old problem and new tools. (English) Zbl 1068.90109 Optim. Methods Softw. 20, No. 1, 53-70 (2005). MSC: 90C56 49M30 49J40 PDFBibTeX XMLCite \textit{V. F. Demyanov}, Optim. Methods Softw. 20, No. 1, 53--70 (2005; Zbl 1068.90109) Full Text: DOI
Kanzow, Christian Inexact semismooth Newton methods for large-scale complementarity problems. (English) Zbl 1141.90558 Optim. Methods Softw. 19, No. 3-4, 309-325 (2004). MSC: 90C33 49K20 49M15 49M25 65K10 PDFBibTeX XMLCite \textit{C. Kanzow}, Optim. Methods Softw. 19, No. 3--4, 309--325 (2004; Zbl 1141.90558) Full Text: DOI
Solodov, M. V. A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework. (English) Zbl 1097.90041 Optim. Methods Softw. 19, No. 5, 557-575 (2004). MSC: 90C25 49J40 49M99 PDFBibTeX XMLCite \textit{M. V. Solodov}, Optim. Methods Softw. 19, No. 5, 557--575 (2004; Zbl 1097.90041) Full Text: DOI
Jiang, Ying-Jun; Li, Dong-Hui; Zeng, Jin-Ping Weighted max-norm estimate of additive Schwarz methods for solving nonlinear complementarity problems. (English) Zbl 1097.90061 Optim. Methods Softw. 18, No. 6, 657-672 (2003). MSC: 90C33 65K10 65N30 65N55 PDFBibTeX XMLCite \textit{Y.-J. Jiang} et al., Optim. Methods Softw. 18, No. 6, 657--672 (2003; Zbl 1097.90061) Full Text: DOI
Solodov, M. V.; Svaiter, B. F. A new proximal-based globalization strategy for the Josephy-Newton method for variational inequalities. (English) Zbl 1020.49016 Optim. Methods Softw. 17, No. 5, 965-983 (2002). MSC: 49J40 49M37 PDFBibTeX XMLCite \textit{M. V. Solodov} and \textit{B. F. Svaiter}, Optim. Methods Softw. 17, No. 5, 965--983 (2002; Zbl 1020.49016) Full Text: DOI
Mangasarian, O. L. A finite Newton method for classification. (English) Zbl 1065.90078 Optim. Methods Softw. 17, No. 5, 913-929 (2002). MSC: 90C53 65K10 90C20 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Methods Softw. 17, No. 5, 913--929 (2002; Zbl 1065.90078) Full Text: DOI
Gasparo, Maria Grazia; Pieraccini, Sandra; Armellini, Alessandro An infeasible interior-point method with nonmonotonic complementarity gaps. (English) Zbl 1033.90133 Optim. Methods Softw. 17, No. 4, 561-586 (2002). Reviewer: Gong Yun Zhao (Singapore) MSC: 90C33 90C51 49J20 PDFBibTeX XMLCite \textit{M. G. Gasparo} et al., Optim. Methods Softw. 17, No. 4, 561--586 (2002; Zbl 1033.90133) Full Text: DOI
Konnov, Igor V. A combined relaxation method for nonlinear variational inequalities. (English) Zbl 1045.49007 Optim. Methods Softw. 17, No. 2, 271-292 (2002). Reviewer: Hongwei Lou (Shanghai) MSC: 49J40 PDFBibTeX XMLCite \textit{I. V. Konnov}, Optim. Methods Softw. 17, No. 2, 271--292 (2002; Zbl 1045.49007) Full Text: DOI
Lukšan, Ladislav; Vlček, Jan Numerical experience with iterative methods for equality constrained nonlinear programming problems. (English) Zbl 1012.90064 Optim. Methods Softw. 16, No. 1-4, 257-287 (2001). MSC: 90C30 65K10 90-04 PDFBibTeX XMLCite \textit{L. Lukšan} and \textit{J. Vlček}, Optim. Methods Softw. 16, No. 1--4, 257--287 (2001; Zbl 1012.90064) Full Text: DOI Link
Deng, Naiyang; Zhang, Haibin; Zhang, Chunhua Further improvement of the Newton-PCG algorithm with automatic differentiation. (English) Zbl 1169.90450 Optim. Methods Softw. 16, No. 1-4, 151-178 (2001). MSC: 90C30 65K10 PDFBibTeX XMLCite \textit{N. Deng} et al., Optim. Methods Softw. 16, No. 1--4, 151--178 (2001; Zbl 1169.90450) Full Text: DOI
Deng, Naiyang; Wang, Zhaozhi; Zhang, Jianzhong An improved inexact Newton’s method for unary optimization. (English) Zbl 1109.90331 Optim. Methods Softw. 15, No. 3-4, 257-282 (2001). MSC: 90C30 65K10 PDFBibTeX XMLCite \textit{N. Deng} et al., Optim. Methods Softw. 15, No. 3--4, 257--282 (2001; Zbl 1109.90331) Full Text: DOI
Christiansson, Bruce Cheap Newton steps for optimal control problems: Automatic differentiation and Pantoja’s algorithm. (English) Zbl 0947.65070 Optim. Methods Softw. 10, No. 5, 729-743 (1999). Reviewer: Dinh Nho Hào (Frankfurt) MSC: 65K10 49J10 49M15 49L20 PDFBibTeX XMLCite \textit{B. Christiansson}, Optim. Methods Softw. 10, No. 5, 729--743 (1999; Zbl 0947.65070) Full Text: DOI Link
Konnov, Igor V. A combined relaxation method for decomposable variational inequalities. (English) Zbl 0937.90108 Optim. Methods Softw. 10, No. 5, 711-728 (1999). MSC: 90C33 PDFBibTeX XMLCite \textit{I. V. Konnov}, Optim. Methods Softw. 10, No. 5, 711--728 (1999; Zbl 0937.90108) Full Text: DOI
Peng, Jiming; Kanzow, Christian; Fukushima, Masao A hybrid Josephy-Newton method for solving box constrained variational inequality problems via the D-gap function. (English) Zbl 0932.90040 Optim. Methods Softw. 10, No. 5, 687-710 (1999). MSC: 90C30 PDFBibTeX XMLCite \textit{J. Peng} et al., Optim. Methods Softw. 10, No. 5, 687--710 (1999; Zbl 0932.90040) Full Text: DOI
Laumen, Manfred A comparison of numerical methods for optimal shape design problems. (English) Zbl 0933.49028 Optim. Methods Softw. 10, No. 3, 497-537 (1999). MSC: 49Q10 90C52 49M15 65K10 PDFBibTeX XMLCite \textit{M. Laumen}, Optim. Methods Softw. 10, No. 3, 497--537 (1999; Zbl 0933.49028) Full Text: DOI
Feng, Enmin; Wang, Xiumei; Wang, Xilu On the application of the ABS algorithm to linear programming and linear complementarity. (English) Zbl 0894.90107 Optim. Methods Softw. 8, No. 2, 133-142 (1997). MSC: 90C05 90C33 PDFBibTeX XMLCite \textit{E. Feng} et al., Optim. Methods Softw. 8, No. 2, 133--142 (1997; Zbl 0894.90107) Full Text: DOI