Asl, Azam; Lu, Haihao; Yang, Jinwen A \(J\)-symmetric quasi-Newton method for minimax problems. (English) Zbl 07807809 Math. Program. 204, No. 1-2 (A), 207-254 (2024). MSC: 90C47 65K15 49K35 PDFBibTeX XMLCite \textit{A. Asl} et al., Math. Program. 204, No. 1--2 (A), 207--254 (2024; Zbl 07807809) Full Text: DOI arXiv
Baraldi, Robert J.; Kouri, Drew P. A proximal trust-region method for nonsmooth optimization with inexact function and gradient evaluations. (English) Zbl 1522.90113 Math. Program. 201, No. 1-2 (A), 559-598 (2023). MSC: 90C26 65K05 65K10 90C06 90C30 PDFBibTeX XMLCite \textit{R. J. Baraldi} and \textit{D. P. Kouri}, Math. Program. 201, No. 1--2 (A), 559--598 (2023; Zbl 1522.90113) Full Text: DOI
Grimmer, Benjamin; Lu, Haihao; Worah, Pratik; Mirrokni, Vahab The landscape of the proximal point method for nonconvex-nonconcave minimax optimization. (English) Zbl 1522.90258 Math. Program. 201, No. 1-2 (A), 373-407 (2023). MSC: 90C47 65K15 49K35 PDFBibTeX XMLCite \textit{B. Grimmer} et al., Math. Program. 201, No. 1--2 (A), 373--407 (2023; Zbl 1522.90258) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert; Nguyen, Dang-Khoa Fast augmented Lagrangian method in the convex regime with convergence guarantees for the iterates. (English) Zbl 1519.37068 Math. Program. 200, No. 1 (A), 147-197 (2023). MSC: 37J51 37M99 49K15 49M29 65K05 68Q25 90C25 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Math. Program. 200, No. 1 (A), 147--197 (2023; Zbl 1519.37068) Full Text: DOI arXiv
Jia, Xiaoxi; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd An augmented Lagrangian method for optimization problems with structured geometric constraints. (English) Zbl 1518.90060 Math. Program. 199, No. 1-2 (A), 1365-1415 (2023). MSC: 90C22 90C30 90C33 65K10 PDFBibTeX XMLCite \textit{X. Jia} et al., Math. Program. 199, No. 1--2 (A), 1365--1415 (2023; Zbl 1518.90060) Full Text: DOI arXiv
Rodomanov, Anton; Nesterov, Yurii Subgradient ellipsoid method for nonsmooth convex problems. (English) Zbl 1518.90070 Math. Program. 199, No. 1-2 (A), 305-341 (2023). MSC: 90C25 90C47 68Q25 PDFBibTeX XMLCite \textit{A. Rodomanov} and \textit{Y. Nesterov}, Math. Program. 199, No. 1--2 (A), 305--341 (2023; Zbl 1518.90070) Full Text: DOI arXiv
Aujol, J.-F.; Dossal, Ch.; Rondepierre, A. Convergence rates of the heavy-ball method under the Łojasiewicz property. (English) Zbl 07658250 Math. Program. 198, No. 1 (A), 195-254 (2023). MSC: 65K10 90C25 90C30 PDFBibTeX XMLCite \textit{J. F. Aujol} et al., Math. Program. 198, No. 1 (A), 195--254 (2023; Zbl 07658250) Full Text: DOI
Shi, Bin; Du, Simon S.; Jordan, Michael I.; Su, Weijie J. Understanding the acceleration phenomenon via high-resolution differential equations. (English) Zbl 1500.65026 Math. Program. 195, No. 1-2 (A), 79-148 (2022). MSC: 90C25 34E10 65K10 65L20 90C35 PDFBibTeX XMLCite \textit{B. Shi} et al., Math. Program. 195, No. 1--2 (A), 79--148 (2022; Zbl 1500.65026) Full Text: DOI arXiv
Morshed, Md Sarowar; Islam, Md Saiful; Noor-E-Alam, Md. Sampling Kaczmarz-Motzkin method for linear feasibility problems: generalization and acceleration. (English) Zbl 1498.65094 Math. Program. 194, No. 1-2 (A), 719-779 (2022). MSC: 65K05 65K10 90C05 90C25 PDFBibTeX XMLCite \textit{M. S. Morshed} et al., Math. Program. 194, No. 1--2 (A), 719--779 (2022; Zbl 1498.65094) Full Text: DOI arXiv
Berahas, Albert S.; Curtis, Frank E.; Zhou, Baoyu Limited-memory BFGS with displacement aggregation. (English) Zbl 1492.65161 Math. Program. 194, No. 1-2 (A), 121-157 (2022). MSC: 65K05 65K10 90C30 90C53 49M37 PDFBibTeX XMLCite \textit{A. S. Berahas} et al., Math. Program. 194, No. 1--2 (A), 121--157 (2022; Zbl 1492.65161) Full Text: DOI arXiv
Kouri, Drew P.; Surowiec, Thomas M. A primal-dual algorithm for risk minimization. (English) Zbl 1500.90035 Math. Program. 193, No. 1 (A), 337-363 (2022). MSC: 90C15 65K10 93E20 PDFBibTeX XMLCite \textit{D. P. Kouri} and \textit{T. M. Surowiec}, Math. Program. 193, No. 1 (A), 337--363 (2022; Zbl 1500.90035) Full Text: DOI
Attouch, Hedy; Chbani, Zaki; Fadili, Jalal; Riahi, Hassan First-order optimization algorithms via inertial systems with Hessian driven damping. (English) Zbl 1497.37121 Math. Program. 193, No. 1 (A), 113-155 (2022). MSC: 37N40 37M05 46N10 65K05 65K10 90B50 90C25 PDFBibTeX XMLCite \textit{H. Attouch} et al., Math. Program. 193, No. 1 (A), 113--155 (2022; Zbl 1497.37121) Full Text: DOI arXiv
Bourdin, Loïc; Dhar, Gaurav Optimal sampled-data controls with running inequality state constraints: Pontryagin maximum principle and bouncing trajectory phenomenon. (English) Zbl 1487.49020 Math. Program. 191, No. 2 (A), 907-951 (2022). MSC: 49K15 49M05 93C10 93C57 PDFBibTeX XMLCite \textit{L. Bourdin} and \textit{G. Dhar}, Math. Program. 191, No. 2 (A), 907--951 (2022; Zbl 1487.49020) Full Text: DOI HAL
Zhan, Yang; Dang, Chuangyin A smooth homotopy method for incomplete markets. (English) Zbl 1471.91272 Math. Program. 190, No. 1-2 (A), 585-613 (2021). MSC: 91B50 90C33 65H20 PDFBibTeX XMLCite \textit{Y. Zhan} and \textit{C. Dang}, Math. Program. 190, No. 1--2 (A), 585--613 (2021; Zbl 1471.91272) Full Text: DOI
Guo, Lei; Chen, Xiaojun Mathematical programs with complementarity constraints and a non-Lipschitz objective: optimality and approximation. (English) Zbl 1480.90240 Math. Program. 185, No. 1-2 (A), 455-485 (2021). Reviewer: Armin Hoffmann (Ilmenau) MSC: 90C33 90C26 49J52 49M20 90C59 PDFBibTeX XMLCite \textit{L. Guo} and \textit{X. Chen}, Math. Program. 185, No. 1--2 (A), 455--485 (2021; Zbl 1480.90240) Full Text: DOI
Attouch, Hedy; Cabot, Alexandre Convergence of a relaxed inertial proximal algorithm for maximally monotone operators. (English) Zbl 07263694 Math. Program. 184, No. 1-2 (A), 243-287 (2020). MSC: 47-XX 65K05 65K10 90C25 PDFBibTeX XMLCite \textit{H. Attouch} and \textit{A. Cabot}, Math. Program. 184, No. 1--2 (A), 243--287 (2020; Zbl 07263694) Full Text: DOI
Royer, Clément W.; O’Neill, Michael; Wright, Stephen J. A Newton-CG algorithm with complexity guarantees for smooth unconstrained optimization. (English) Zbl 1448.90081 Math. Program. 180, No. 1-2 (A), 451-488 (2020). Reviewer: Ctirad Matonoha (Praha) MSC: 90C26 65K10 90C60 90C53 65F10 65F15 PDFBibTeX XMLCite \textit{C. W. Royer} et al., Math. Program. 180, No. 1--2 (A), 451--488 (2020; Zbl 1448.90081) Full Text: DOI arXiv
Yue, Man-Chung; Zhou, Zirui; So, Anthony Man-Cho A family of inexact SQA methods for non-smooth convex minimization with provable convergence guarantees based on the Luo-Tseng error bound property. (English) Zbl 1412.49061 Math. Program. 174, No. 1-2 (B), 327-358 (2019). MSC: 49M15 65K10 90C55 PDFBibTeX XMLCite \textit{M.-C. Yue} et al., Math. Program. 174, No. 1--2 (B), 327--358 (2019; Zbl 1412.49061) Full Text: DOI arXiv
Klatte, Diethard; Kummer, Bernd Approximations and generalized Newton methods. (English) Zbl 1386.49022 Math. Program. 168, No. 1-2 (B), 673-716 (2018); correction ibid. 179, No. 1-2 (A), 469-471 (2020). MSC: 49J53 49K40 90C31 65J05 PDFBibTeX XMLCite \textit{D. Klatte} and \textit{B. Kummer}, Math. Program. 168, No. 1--2 (B), 673--716 (2018; Zbl 1386.49022) Full Text: DOI Link
Izmailov, A. F.; Kurennoy, A. S.; Solodov, M. V. Critical solutions of nonlinear equations: local attraction for Newton-type methods. (English) Zbl 1404.90128 Math. Program. 167, No. 2 (A), 355-379 (2018). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C33 65K10 49J53 PDFBibTeX XMLCite \textit{A. F. Izmailov} et al., Math. Program. 167, No. 2 (A), 355--379 (2018; Zbl 1404.90128) Full Text: DOI
Chen, Yunmei; Lan, Guanghui; Ouyang, Yuyuan Accelerated schemes for a class of variational inequalities. (English) Zbl 1386.90102 Math. Program. 165, No. 1 (B), 113-149 (2017). MSC: 90C25 90C15 62L20 68Q25 PDFBibTeX XMLCite \textit{Y. Chen} et al., Math. Program. 165, No. 1 (B), 113--149 (2017; Zbl 1386.90102) Full Text: DOI arXiv
Chen, Xiaojun; Pong, Ting Kei; Wets, Roger J-B. Two-stage stochastic variational inequalities: an ERM-solution procedure. (English) Zbl 1386.90157 Math. Program. 165, No. 1 (B), 71-111 (2017). MSC: 90C33 90C15 PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Program. 165, No. 1 (B), 71--111 (2017; Zbl 1386.90157) Full Text: DOI
Facchinei, Francisco; Lampariello, Lorenzo; Scutari, Gesualdo Feasible methods for nonconvex nonsmooth problems with applications in green communications. (English) Zbl 1373.90148 Math. Program. 164, No. 1-2 (A), 55-90 (2017). MSC: 90C30 90C26 65K10 90C90 PDFBibTeX XMLCite \textit{F. Facchinei} et al., Math. Program. 164, No. 1--2 (A), 55--90 (2017; Zbl 1373.90148) Full Text: DOI
Adler, Ilan; Cottle, Richard W.; Pang, Jong-Shi Some LCPs solvable in strongly polynomial time with Lemke’s algorithm. (English) Zbl 1356.90145 Math. Program. 160, No. 1-2 (A), 477-493 (2016). MSC: 90C33 PDFBibTeX XMLCite \textit{I. Adler} et al., Math. Program. 160, No. 1--2 (A), 477--493 (2016; Zbl 1356.90145) Full Text: DOI
Needell, Deanna; Srebro, Nathan; Ward, Rachel Stochastic gradient descent, weighted sampling, and the randomized Kaczmarz algorithm. (English) Zbl 1333.65070 Math. Program. 155, No. 1-2 (A), 549-573 (2016). MSC: 65K10 49J20 60H25 49J55 PDFBibTeX XMLCite \textit{D. Needell} et al., Math. Program. 155, No. 1--2 (A), 549--573 (2016; Zbl 1333.65070) Full Text: DOI arXiv
He, Bingsheng; Yuan, Xiaoming On the convergence rate of Douglas-Rachford operator splitting method. (English) Zbl 1327.90211 Math. Program. 153, No. 2 (A), 715-722 (2015). MSC: 90C25 65K10 65N12 PDFBibTeX XMLCite \textit{B. He} and \textit{X. Yuan}, Math. Program. 153, No. 2 (A), 715--722 (2015; Zbl 1327.90211) Full Text: DOI
Curtis, Frank E.; Jiang, Hao; Robinson, Daniel P. An adaptive augmented Lagrangian method for large-scale constrained optimization. (English) Zbl 1323.49015 Math. Program. 152, No. 1-2 (A), 201-245 (2015). Reviewer: Bülent Karasözen (Ankara) MSC: 49M05 49M29 49M37 65K05 65K10 90C06 90C30 93B40 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Math. Program. 152, No. 1--2 (A), 201--245 (2015; Zbl 1323.49015) Full Text: DOI
Wang, Mengdi; Bertsekas, Dimitri P. Incremental constraint projection methods for variational inequalities. (English) Zbl 1315.65058 Math. Program. 150, No. 2 (A), 321-363 (2015). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K15 90C33 62L20 68W27 49J40 PDFBibTeX XMLCite \textit{M. Wang} and \textit{D. P. Bertsekas}, Math. Program. 150, No. 2 (A), 321--363 (2015; Zbl 1315.65058) Full Text: DOI Link
Iiduka, Hideaki Acceleration method for convex optimization over the fixed point set of a nonexpansive mapping. (English) Zbl 1338.90301 Math. Program. 149, No. 1-2 (A), 131-165 (2015). Reviewer: Simeon Reich (Haifa) MSC: 90C25 47H09 47J25 65K05 65K10 90C30 90C48 90C52 PDFBibTeX XMLCite \textit{H. Iiduka}, Math. Program. 149, No. 1--2 (A), 131--165 (2015; Zbl 1338.90301) Full Text: DOI
Qi, Hou-Duo; Yuan, Xiaoming Computing the nearest Euclidean distance matrix with low embedding dimensions. (English) Zbl 1304.49051 Math. Program. 147, No. 1-2 (A), 351-389 (2014). Reviewer: Bülent Karasözen (Ankara) MSC: 49M15 49M37 90C25 90C33 PDFBibTeX XMLCite \textit{H.-D. Qi} and \textit{X. Yuan}, Math. Program. 147, No. 1--2 (A), 351--389 (2014; Zbl 1304.49051) Full Text: DOI Link
Bolte, Jérôme; Sabach, Shoham; Teboulle, Marc Proximal alternating linearized minimization for nonconvex and nonsmooth problems. (English) Zbl 1297.90125 Math. Program. 146, No. 1-2 (A), 459-494 (2014). MSC: 90C26 90C30 49M37 65K10 47J25 49M27 PDFBibTeX XMLCite \textit{J. Bolte} et al., Math. Program. 146, No. 1--2 (A), 459--494 (2014; Zbl 1297.90125) Full Text: DOI
Facchinei, Francisco; Fischer, Andreas; Herrich, Markus An LP-Newton method: nonsmooth equations, KKT systems, and nonisolated solutions. (English) Zbl 1317.90276 Math. Program. 146, No. 1-2 (A), 1-36 (2014). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 90C30 90C33 49M15 65K05 65H10 PDFBibTeX XMLCite \textit{F. Facchinei} et al., Math. Program. 146, No. 1--2 (A), 1--36 (2014; Zbl 1317.90276) Full Text: DOI
Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone Solving quasi-variational inequalities via their KKT conditions. (English) Zbl 1293.65100 Math. Program. 144, No. 1-2 (A), 369-412 (2014). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K15 49J40 49M37 90C51 PDFBibTeX XMLCite \textit{F. Facchinei} et al., Math. Program. 144, No. 1--2 (A), 369--412 (2014; Zbl 1293.65100) Full Text: DOI
Dontchev, A. L.; Rockafellar, R. T. Convergence of inexact Newton methods for generalized equations. (English) Zbl 1272.49047 Math. Program. 139, No. 1-2 (B), 115-137 (2013). Reviewer: Alfred Göpfert (Halle) MSC: 49M15 49J53 49J40 49K40 90C30 65K15 PDFBibTeX XMLCite \textit{A. L. Dontchev} and \textit{R. T. Rockafellar}, Math. Program. 139, No. 1--2 (B), 115--137 (2013; Zbl 1272.49047) Full Text: DOI
Chen, Xiaojun; Xiang, Shuhuang Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. (English) Zbl 1276.90066 Math. Program. 138, No. 1-2 (A), 579-606 (2013). Reviewer: Karel Zimmermann (Praha) MSC: 90C30 90C33 34A30 65L12 65L60 PDFBibTeX XMLCite \textit{X. Chen} and \textit{S. Xiang}, Math. Program. 138, No. 1--2 (A), 579--606 (2013; Zbl 1276.90066) Full Text: DOI
Ben Gharbia, Ibtihel; Gilbert, J. Charles Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a \(P\)-matrix. (English) Zbl 1254.90252 Math. Program. 134, No. 2 (A), 349-364 (2012). MSC: 90C33 49J52 49M15 PDFBibTeX XMLCite \textit{I. Ben Gharbia} and \textit{J. C. Gilbert}, Math. Program. 134, No. 2 (A), 349--364 (2012; Zbl 1254.90252) Full Text: DOI
von Heusinger, Anna; Kanzow, Christian; Fukushima, Masao Newton’s method for computing a normalized equilibrium in the generalized Nash game through fixed point formulation. (English) Zbl 1237.91021 Math. Program. 132, No. 1-2 (A), 99-123 (2012). MSC: 91A10 49M15 90C30 90C33 PDFBibTeX XMLCite \textit{A. von Heusinger} et al., Math. Program. 132, No. 1--2 (A), 99--123 (2012; Zbl 1237.91021) Full Text: DOI
Lan, Guanghui; Lu, Zhaosong; Monteiro, Renato D. C. Primal-dual first-order methods with \({\mathcal {O}(1/\varepsilon)}\) iteration-complexity for cone programming. (English) Zbl 1208.90113 Math. Program. 126, No. 1 (A), 1-29 (2011). MSC: 90C05 90C22 90C25 65K05 65K10 PDFBibTeX XMLCite \textit{G. Lan} et al., Math. Program. 126, No. 1 (A), 1--29 (2011; Zbl 1208.90113) Full Text: DOI
Dontchev, A. L.; Rockafellar, R. T. Newton’s method for generalized equations: a sequential implicit function theorem. (English) Zbl 1190.49024 Math. Program. 123, No. 1 (B), 139-159 (2010). MSC: 49J53 49K40 65J15 90C31 PDFBibTeX XMLCite \textit{A. L. Dontchev} and \textit{R. T. Rockafellar}, Math. Program. 123, No. 1 (B), 139--159 (2010; Zbl 1190.49024) Full Text: DOI
Ito, Kazufumi; Kunisch, Karl On a semi-smooth Newton method and its globalization. (English) Zbl 1164.65018 Math. Program. 118, No. 2 (A), 347-370 (2009). MSC: 65H10 65K05 93C30 90C33 PDFBibTeX XMLCite \textit{K. Ito} and \textit{K. Kunisch}, Math. Program. 118, No. 2 (A), 347--370 (2009; Zbl 1164.65018) Full Text: DOI Link
Oberlin, Christina; Wright, Stephen J. An accelerated Newton method for equations with semismooth jacobians and nonlinear complementarity problems. (English) Zbl 1166.65341 Math. Program. 117, No. 1-2 (B), 355-386 (2009). MSC: 65H10 90C33 PDFBibTeX XMLCite \textit{C. Oberlin} and \textit{S. J. Wright}, Math. Program. 117, No. 1--2 (B), 355--386 (2009; Zbl 1166.65341) Full Text: DOI
Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian Tame functions are semismooth. (English) Zbl 1158.49030 Math. Program. 117, No. 1-2 (B), 5-19 (2009). MSC: 49M15 49J52 14P10 90C31 65K10 PDFBibTeX XMLCite \textit{J. Bolte} et al., Math. Program. 117, No. 1--2 (B), 5--19 (2009; Zbl 1158.49030) Full Text: DOI
Lin, Gui-Hua; Chen, Xiaojun; Fukushima, Masao Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization. (English) Zbl 1168.90008 Math. Program. 116, No. 1-2 (B), 343-368 (2009). Reviewer: Serghey G. Suvorov (Donetsk) MSC: 90C15 90C33 90C30 PDFBibTeX XMLCite \textit{G.-H. Lin} et al., Math. Program. 116, No. 1--2 (B), 343--368 (2009; Zbl 1168.90008) Full Text: DOI
Sun, Defeng; Sun, Jie; Zhang, Liwei The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming. (English) Zbl 1190.90117 Math. Program. 114, No. 2 (A), 349-391 (2008). MSC: 90C22 65K05 49J52 PDFBibTeX XMLCite \textit{D. Sun} et al., Math. Program. 114, No. 2 (A), 349--391 (2008; Zbl 1190.90117) Full Text: DOI
Lu, Zhaosong; Nemirovski, Arkadi; Monteiro, Renato D. C. Large-scale semidefinite programming via a saddle point mirror-prox algorithm. (English) Zbl 1148.90009 Math. Program. 109, No. 2-3 (B), 211-237 (2007). Reviewer: Jan-Joachim Rückmann (Puebla) MSC: 90C22 90C25 90C51 65K10 PDFBibTeX XMLCite \textit{Z. Lu} et al., Math. Program. 109, No. 2--3 (B), 211--237 (2007; Zbl 1148.90009) Full Text: DOI
Yin, Hongxia; Ling, Chen; Qi, Liqun Convergence rate of Newton’s method for \(L_2\) spectral estimation. (English) Zbl 1111.90113 Math. Program. 107, No. 3 (A), 539-546 (2006). MSC: 90C33 90C30 65H10 90C53 PDFBibTeX XMLCite \textit{H. Yin} et al., Math. Program. 107, No. 3 (A), 539--546 (2006; Zbl 1111.90113) Full Text: DOI
Chen, Xin; Qi, Houduo Cartesian \(P\)-property and its applications to the semidefinite linear complementarity problem. (English) Zbl 1134.90508 Math. Program. 106, No. 1 (A), 177-201 (2006). MSC: 90C33 90C22 PDFBibTeX XMLCite \textit{X. Chen} and \textit{H. Qi}, Math. Program. 106, No. 1 (A), 177--201 (2006; Zbl 1134.90508) Full Text: DOI
Auslender, Alfred; Teboulle, Marc Interior projection-like methods for monotone variational inequalities. (English) Zbl 1159.90517 Math. Program. 104, No. 1 (A), 39-68 (2005). MSC: 90C51 90C33 PDFBibTeX XMLCite \textit{A. Auslender} and \textit{M. Teboulle}, Math. Program. 104, No. 1 (A), 39--68 (2005; Zbl 1159.90517) Full Text: DOI
Ben-Tal, Aharon; Nemirovski, Arkadi Non-Euclidean restricted memory level method for large-scale convex optimization. (English) Zbl 1066.90079 Math. Program. 102, No. 3 (A), 407-456 (2005). MSC: 90C25 90C06 49J40 PDFBibTeX XMLCite \textit{A. Ben-Tal} and \textit{A. Nemirovski}, Math. Program. 102, No. 3 (A), 407--456 (2005; Zbl 1066.90079) Full Text: DOI
Huang, Zheng-Hai; Qi, Liqun; Sun, Defeng Sub-quadratic convergence of a smoothing Newton algorithm for the \(P_0\)- and monotone LCP. (English) Zbl 1168.90646 Math. Program. 99, No. 3 (A), 423-441 (2004). MSC: 90C53 90C33 65K10 PDFBibTeX XMLCite \textit{Z.-H. Huang} et al., Math. Program. 99, No. 3 (A), 423--441 (2004; Zbl 1168.90646) Full Text: DOI
Pennanen, Teemu; Svaiter, B. F. Solving monotone inclusions with linear multi-step methods. (English) Zbl 1033.65051 Math. Program. 96, No. 3 (A), 469-487 (2003). Reviewer: Hans Benker (Merseburg) MSC: 65K10 49J53 65L05 34A60 PDFBibTeX XMLCite \textit{T. Pennanen} and \textit{B. F. Svaiter}, Math. Program. 96, No. 3 (A), 469--487 (2003; Zbl 1033.65051) Full Text: DOI
He, Bingsheng; Liao, Li-Zhi; Han, Deren; Yang, Hai A new inexact alternating directions method for monotone variational inequalities. (English) Zbl 1009.90108 Math. Program. 92, No. 1 (A), 103-118 (2002). Reviewer: Václav Burjan (Praha) MSC: 90C30 90C33 65K05 PDFBibTeX XMLCite \textit{B. He} et al., Math. Program. 92, No. 1 (A), 103--118 (2002; Zbl 1009.90108) Full Text: DOI
Li, Chong; Wang, Xinghua On convergence of the Gauss-Newton method for convex composite optimization. (English) Zbl 1049.90132 Math. Program. 91, No. 2 (A), 349-356 (2002). MSC: 90C53 65K10 PDFBibTeX XMLCite \textit{C. Li} and \textit{X. Wang}, Math. Program. 91, No. 2 (A), 349--356 (2002; Zbl 1049.90132) Full Text: DOI
Chen, Bintong; Chen, Xiaojun; Kanzow, Christian A penalized Fischer-Burmeister NCP-function. (English) Zbl 0968.90062 Math. Program. 88, No. 1 (A), 211-216 (2000). MSC: 90C33 90C53 PDFBibTeX XMLCite \textit{B. Chen} et al., Math. Program. 88, No. 1 (A), 211--216 (2000; Zbl 0968.90062) Full Text: DOI
Xu, Song The global linear convergence of an infeasible non-interior path-following algorithm for complementarity problems with uniform \(P\)-functions. (English) Zbl 0989.90125 Math. Program. 87, No. 3 (A), 501-517 (2000). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{S. Xu}, Math. Program. 87, No. 3 (A), 501--517 (2000; Zbl 0989.90125) Full Text: DOI
Qi, Liqun; Sun, Defeng; Zhou, Guanglu A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities. (English) Zbl 0989.90124 Math. Program. 87, No. 1 (A), 1-35 (2000). MSC: 90C33 49J40 90C30 PDFBibTeX XMLCite \textit{L. Qi} et al., Math. Program. 87, No. 1 (A), 1--35 (2000; Zbl 0989.90124) Full Text: DOI
Peng, Ji-Ming; Lin, Zhenghua A non-interior continuation method for generalized linear complementarity problems. (English) Zbl 0987.90081 Math. Program. 86, No. 3 (A), 533-563 (1999). Reviewer: S.M.Allende-Alonso (Ciudad Habana) MSC: 90C33 PDFBibTeX XMLCite \textit{J.-M. Peng} and \textit{Z. Lin}, Math. Program. 86, No. 3 (A), 533--563 (1999; Zbl 0987.90081) Full Text: DOI
Peng, Ji-Ming; Fukushima, Masao A hybrid Newton method for solving the variational inequality problem via the D-gap function. (English) Zbl 0939.90023 Math. Program. 86, No. 2 (A), 367-386 (1999). MSC: 90C53 47J20 PDFBibTeX XMLCite \textit{J.-M. Peng} and \textit{M. Fukushima}, Math. Program. 86, No. 2 (A), 367--386 (1999; Zbl 0939.90023) Full Text: DOI
Berkelaar, Arjan B.; Jansen, Benjamin; Roos, Kees; Terlaky, Tamás Basis- and partition identification for quadratic programming and linear complementarity problems. (English) Zbl 0946.90091 Math. Program. 86, No. 2 (A), 261-282 (1999). MSC: 90C33 90C20 PDFBibTeX XMLCite \textit{A. B. Berkelaar} et al., Math. Program. 86, No. 2 (A), 261--282 (1999; Zbl 0946.90091) Full Text: DOI
He, Bingsheng Inexact implicit methods for monotone general variational inequalities. (English) Zbl 0979.49006 Math. Program. 86, No. 1 (A), 199-217 (1999). MSC: 49J40 90C30 90C33 47J20 PDFBibTeX XMLCite \textit{B. He}, Math. Program. 86, No. 1 (A), 199--217 (1999; Zbl 0979.49006) Full Text: DOI
Hotta, Keisuke; Yoshise, Akiko Global convergence of a class of non-interior point algorithms using Chen-Harker-Kanzow-Smale functions for nonlinear complementarity problems. (English) Zbl 0978.90095 Math. Program. 86, No. 1 (A), 105-133 (1999). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{K. Hotta} and \textit{A. Yoshise}, Math. Program. 86, No. 1 (A), 105--133 (1999; Zbl 0978.90095) Full Text: DOI
Xu, Song; Burke, James V. A polynomial time interior-point path-following algorithm for LCP based on Chen-Harker-Kanzow smoothing techniques. (English) Zbl 0978.90097 Math. Program. 86, No. 1 (A), 91-103 (1999). MSC: 90C33 90C51 PDFBibTeX XMLCite \textit{S. Xu} and \textit{J. V. Burke}, Math. Program. 86, No. 1 (A), 91--103 (1999; Zbl 0978.90097) Full Text: DOI
Facchinei, Francisco; Jiang, Houyuan; Qi, Liqun A smoothing method for mathematical programs with equilibrium constraints. (English) Zbl 0959.65079 Math. Program. 85, No. 1 (A), 107-134 (1999). Reviewer: Wolfgang W.Breckner (Cluj-Napoca) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{F. Facchinei} et al., Math. Program. 85, No. 1 (A), 107--134 (1999; Zbl 0959.65079) Full Text: DOI
Kanzow, Christian; Qi, Hou-Duo A QP-free constrained Newton-type method for variational inequality problems. (English) Zbl 0958.65078 Math. Program. 85, No. 1 (A), 81-106 (1999). Reviewer: Wolfgang W.Breckner (Cluj-Napoca) MSC: 65K10 49J40 49M15 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{H.-D. Qi}, Math. Program. 85, No. 1 (A), 81--106 (1999; Zbl 0958.65078) Full Text: DOI
Censor, Yair; Iusem, Alfredo N.; Zenios, Stavros A. An interior point method with Bregman functions for the variational inequality problem with paramonotone operators. (English) Zbl 0919.90123 Math. Program. 81, No. 3 (A), 373-400 (1998). MSC: 90C25 PDFBibTeX XMLCite \textit{Y. Censor} et al., Math. Program. 81, No. 3 (A), 373--400 (1998; Zbl 0919.90123) Full Text: DOI
Kanzow, Christian; Jiang, Houyuan A continuation method for (strongly) monotone variational inequalities. (English) Zbl 0920.90131 Math. Program. 81, No. 1 (A), 103-125 (1998). MSC: 90C30 49J40 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{H. Jiang}, Math. Program. 81, No. 1 (A), 103--125 (1998; Zbl 0920.90131) Full Text: DOI
Konnov, Igor V. A combined relaxation method for variational inequalities with nonlinear constraints. (English) Zbl 0894.90145 Math. Program. 80, No. 2 (A), 239-252 (1998). MSC: 90C33 49J40 PDFBibTeX XMLCite \textit{I. V. Konnov}, Math. Program. 80, No. 2 (A), 239--252 (1998; Zbl 0894.90145) Full Text: DOI
Kojima, Masakazu; Shida, Masayuki; Shindoh, Susumu Local convergence of predictor-corrector infeasible-interior-point algorithms for SDPs and SDLCPs. (English) Zbl 0897.90183 Math. Program. 80, No. 2 (A), 129-160 (1998). MSC: 90C33 PDFBibTeX XMLCite \textit{M. Kojima} et al., Math. Program. 80, No. 2 (A), 129--160 (1998; Zbl 0897.90183) Full Text: DOI
Fukuda, Komei; Terlaky, Tamás Criss-cross methods: A fresh view on pivot algorithms. (English) Zbl 0887.90113 Math. Program. 79, No. 1-3 (B), 369-395 (1997). MSC: 90C05 90C33 90C20 PDFBibTeX XMLCite \textit{K. Fukuda} and \textit{T. Terlaky}, Math. Program. 79, No. 1--3 (B), 369--395 (1997; Zbl 0887.90113) Full Text: DOI
Sellami, Hichem; Robinson, Stephen M. Implementation of a continuation method for normal maps. (English) Zbl 0873.90093 Math. Program. 76, No. 3 (B), 563-578 (1997). MSC: 90C30 49J40 49J52 PDFBibTeX XMLCite \textit{H. Sellami} and \textit{S. M. Robinson}, Math. Program. 76, No. 3 (B), 563--578 (1997; Zbl 0873.90093) Full Text: DOI
Fischer, Andreas Solution of monotone complementarity problems with locally Lipschitzian functions. (English) Zbl 0871.90097 Math. Program. 76, No. 3 (B), 513-532 (1997). MSC: 90C33 PDFBibTeX XMLCite \textit{A. Fischer}, Math. Program. 76, No. 3 (B), 513--532 (1997; Zbl 0871.90097) Full Text: DOI
Fischer, Andreas; Kanzow, Christian On finite termination of an iterative method for linear complementarity problems. (English) Zbl 0855.90125 Math. Program. 74, No. 3 (A), 279-292 (1996). MSC: 90C33 PDFBibTeX XMLCite \textit{A. Fischer} and \textit{C. Kanzow}, Math. Program. 74, No. 3 (A), 279--292 (1996; Zbl 0855.90125) Full Text: DOI
Wang, Tao; Monteiro, Renato D. C.; Pang, Jong-Shi An interior point potential reduction method for constrained equations. (English) Zbl 0855.90128 Math. Program. 74, No. 2 (A), 159-195 (1996). MSC: 90C33 49J40 90C30 PDFBibTeX XMLCite \textit{T. Wang} et al., Math. Program. 74, No. 2 (A), 159--195 (1996; Zbl 0855.90128) Full Text: DOI
Uko, Livinus U. Generalized equations and the generalized Newton method. (English) Zbl 0861.49012 Math. Program. 73, No. 3 (A), 251-268 (1996). MSC: 49J40 49M15 90C33 90C48 65M60 65K10 PDFBibTeX XMLCite \textit{L. U. Uko}, Math. Program. 73, No. 3 (A), 251--268 (1996; Zbl 0861.49012) Full Text: DOI
Auslender, Alfred; Haddou, Mounir An interior-proximal method for convex linearly constrained problems and its extension to variational inequalities. (English) Zbl 0855.90095 Math. Program. 71, No. 1 (A), 77-100 (1995). MSC: 90C25 49J40 PDFBibTeX XMLCite \textit{A. Auslender} and \textit{M. Haddou}, Math. Program. 71, No. 1 (A), 77--100 (1995; Zbl 0855.90095) Full Text: DOI
De Schutter, Bart; De Moor, Bart The extended linear complementarity problem. (English) Zbl 0849.90117 Math. Program. 71, No. 3 (A), 289-325 (1995). MSC: 90C33 PDFBibTeX XMLCite \textit{B. De Schutter} and \textit{B. De Moor}, Math. Program. 71, No. 3 (A), 289--325 (1995; Zbl 0849.90117) Full Text: DOI
Chen, Bintong; Harker, Patrick T. A continuation method for monotone variational inequalities. (English) Zbl 0844.90093 Math. Program. 69, No. 2 (A), 237-253 (1995). MSC: 90C33 49J40 90C30 PDFBibTeX XMLCite \textit{B. Chen} and \textit{P. T. Harker}, Math. Program. 69, No. 2 (A), 237--253 (1995; Zbl 0844.90093) Full Text: DOI
Medhi, Karen T. A two-stage successive overrelaxation algorithm for solving the symmetric linear complementarity problem. (English) Zbl 0821.90115 Math. Program. 65, No. 3 (A), 365-380 (1994). MSC: 90C33 90C06 PDFBibTeX XMLCite \textit{K. T. Medhi}, Math. Program. 65, No. 3 (A), 365--380 (1994; Zbl 0821.90115) Full Text: DOI
Mifflin, R. B.; Nazareth, J. L. The least prior deviation quasi-Newton update. (English) Zbl 0834.90123 Math. Program. 65, No. 3 (A), 247-261 (1994). MSC: 90C30 PDFBibTeX XMLCite \textit{R. B. Mifflin} and \textit{J. L. Nazareth}, Math. Program. 65, No. 3 (A), 247--261 (1994; Zbl 0834.90123) Full Text: DOI
Xiao, Baichun; Harker, Patrick T. A nonsmooth Newton method for variational inequalities. II: Numerical results. (English) Zbl 0812.65049 Math. Program. 65, No. 2 (A), 195-216 (1994). Reviewer: U.D’Ambrosio (São Paulo) MSC: 65K10 65K05 49M15 49J40 90C33 90C30 PDFBibTeX XMLCite \textit{B. Xiao} and \textit{P. T. Harker}, Math. Program. 65, No. 2 (A), 195--216 (1994; Zbl 0812.65049) Full Text: DOI
Xiao, Baichun; Harker, Patrick T. A nonsmooth Newton method for variational inequalities. I: Theory. (English) Zbl 0812.65048 Math. Program. 65, No. 2 (A), 151-194 (1994). Reviewer: U.D’Ambrosio (São Paulo) MSC: 65K10 65K05 49M15 90C30 90C33 49J40 PDFBibTeX XMLCite \textit{B. Xiao} and \textit{P. T. Harker}, Math. Program. 65, No. 2 (A), 151--194 (1994; Zbl 0812.65048) Full Text: DOI
Fukuda, Komei; Namiki, Makoto On extremal behaviors of Murty’s least index method. (English) Zbl 0805.90105 Math. Program. 64, No. 3 (A), 365-370 (1994). MSC: 90C33 90C60 PDFBibTeX XMLCite \textit{K. Fukuda} and \textit{M. Namiki}, Math. Program. 64, No. 3 (A), 365--370 (1994; Zbl 0805.90105) Full Text: DOI
Pang, Jong-Shi A degree-theoretic approach to parametric nonsmooth equations with multivalued perturbed solution sets. (English) Zbl 0802.47057 Math. Program. 62, No. 2 (B), 359-383 (1993). Reviewer: M.Yu.Kokurin (Yoshkar-Ola) MSC: 47H11 47J20 90C33 49J52 PDFBibTeX XMLCite \textit{J.-S. Pang}, Math. Program. 62, No. 2 (B), 359--383 (1993; Zbl 0802.47057) Full Text: DOI
Mangasarian, O. L.; Solodov, M. V. Nonlinear complementarity as unconstrained and constrained minimization. (English) Zbl 0813.90117 Math. Program. 62, No. 2 (B), 277-297 (1993). Reviewer: J.Parida (Rourkela) MSC: 90C33 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{M. V. Solodov}, Math. Program. 62, No. 2 (B), 277--297 (1993; Zbl 0813.90117) Full Text: DOI
Wu, Jia Hao; Florian, Michael; Marcotte, Patrice A general descent framework for the monotone variational inequality problem. (English) Zbl 0813.90111 Math. Program. 61, No. 3 (A), 281-300 (1993). Reviewer: J.-P.Raymond (Toulouse) MSC: 90C30 49J40 PDFBibTeX XMLCite \textit{J. H. Wu} et al., Math. Program. 61, No. 3 (A), 281--300 (1993; Zbl 0813.90111) Full Text: DOI
Uko, Livinus Ugochukwu Remarks on the generalized Newton method. (English) Zbl 0789.49007 Math. Program. 59, No. 3 (A), 405-412 (1993). Reviewer: J.-E.Martínez-Legaz (Barcelona) MSC: 49J40 90C30 65J15 PDFBibTeX XMLCite \textit{L. U. Uko}, Math. Program. 59, No. 3 (A), 405--412 (1993; Zbl 0789.49007) Full Text: DOI
Taji, Kouichi; Fukushima, Masao; Ibaraki, Toshihide A globally convergent Newton method for solving strongly monotone variational inequalities. (English) Zbl 0792.49007 Math. Program. 58, No. 3 (A), 369-383 (1993). Reviewer: M.A.Noor (Riyadh) MSC: 49J40 49M15 90C20 91B50 90-08 65K10 PDFBibTeX XMLCite \textit{K. Taji} et al., Math. Program. 58, No. 3 (A), 369--383 (1993; Zbl 0792.49007) Full Text: DOI
Pang, Jong-Shi Convergence of splitting and Newton methods for complementarity problems: An application of some sensitivity results. (English) Zbl 0784.90089 Math. Program., Ser. A 58, No. 2, 149-160 (1993). MSC: 90C33 90C31 49J40 PDFBibTeX XMLCite \textit{J.-S. Pang}, Math. Program. 58, No. 2 (A), 149--160 (1993; Zbl 0784.90089) Full Text: DOI
Eckstein, Jonathan; Bertsekas, Dimitri P. On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators. (English) Zbl 0765.90073 Math. Program., Ser. A 55, No. 3, 293-318 (1992). Reviewer: Liu Zheng (Anshan) MSC: 90C25 49M29 47H05 90C48 49J40 90-08 47N10 PDFBibTeX XMLCite \textit{J. Eckstein} and \textit{D. P. Bertsekas}, Math. Program. 55, No. 3 (A), 293--318 (1992; Zbl 0765.90073) Full Text: DOI
Tseng, Paul Complexity analysis of a linear complementarity algorithm based on a Lyapunov function. (English) Zbl 0787.90100 Math. Program., Ser. A 53, No. 3, 297-306 (1992). MSC: 90C33 90C60 90-08 PDFBibTeX XMLCite \textit{P. Tseng}, Math. Program. 53, No. 3 (A), 297--306 (1992; Zbl 0787.90100) Full Text: DOI
Coleman, Thomas F.; Fenyes, Peter A. Partitioned quasi-Newton methods for nonlinear equality constrained optimization. (English) Zbl 0751.90070 Math. Program., Ser. A 53, No. 1, 17-44 (1992). Reviewer: Wang Zeke (Guangzhou) MSC: 90C30 65K05 90-08 49M30 65H10 90C20 65K10 PDFBibTeX XMLCite \textit{T. F. Coleman} and \textit{P. A. Fenyes}, Math. Program. 53, No. 1 (A), 17--44 (1992; Zbl 0751.90070) Full Text: DOI
De Moor, Bart; Vandenberghe, Lieven; Vandewalle, Joos The generalized linear complementarity problem and an algorithm to find all its solutions. (English) Zbl 0778.90073 Math. Program., Ser. A 57, No. 3, 415-426 (1992). MSC: 90C33 90-08 PDFBibTeX XMLCite \textit{B. De Moor} et al., Math. Program. 57, No. 3 (A), 415--426 (1992; Zbl 0778.90073) Full Text: DOI
Mizuno, Shinji A new polynomial time method for a linear complementarity problem. (English) Zbl 0769.90077 Math. Program., Ser. A 56, No. 1, 31-43 (1992). Reviewer: Hoang Tuy (Hanoi) MSC: 90C33 90-08 PDFBibTeX XMLCite \textit{S. Mizuno}, Math. Program. 56, No. 1 (A), 31--43 (1992; Zbl 0769.90077) Full Text: DOI
Pang, Jong-Shi A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems. (English) Zbl 0733.90063 Math. Program., Ser. A 51, No. 1, 101-131 (1991). Reviewer: Wang Shouyang (Delft) MSC: 90C30 90C33 49J40 49J52 90-08 PDFBibTeX XMLCite \textit{J.-S. Pang}, Math. Program. 51, No. 1 (A), 101--131 (1991; Zbl 0733.90063) Full Text: DOI
Alart, P.; Lemaire, B. Penalization in non-classical convex programming via variational convergence. (English) Zbl 0748.90051 Math. Program., Ser. A 51, No. 3, 307-331 (1991). Reviewer: M.A.Hanson (Tallahassee) MSC: 90C25 49J45 49M30 90-08 PDFBibTeX XMLCite \textit{P. Alart} and \textit{B. Lemaire}, Math. Program. 51, No. 3 (A), 307--331 (1991; Zbl 0748.90051) Full Text: DOI
Kelley, C. T.; Wright, S. J. Sequential quadratic programming for certain parameter identification problems. (English) Zbl 0743.65070 Math. Program., Ser. A 51, No. 3, 281-305 (1991). Reviewer: R.Redlinger (Karlsruhe) MSC: 65L10 90C20 34A55 65K10 34B05 PDFBibTeX XMLCite \textit{C. T. Kelley} and \textit{S. J. Wright}, Math. Program. 51, No. 3 (A), 281--305 (1991; Zbl 0743.65070) Full Text: DOI
Harker, Patrick T.; Xiao, Baichun Newton’s method for the nonlinear complementarity problem: a B- differentiable equation approach. (English) Zbl 0724.90071 Math. Program., Ser. B 48, No. 3, 339-357 (1990). Reviewer: A.L.Dontchev (Ann Arbor) MSC: 90C33 49J50 65K05 90C30 PDFBibTeX XMLCite \textit{P. T. Harker} and \textit{B. Xiao}, Math. Program. 48, No. 3 (B), 339--357 (1990; Zbl 0724.90071) Full Text: DOI
Kojima, Masakazu; Mizuno, Shinji; Yoshise, Akiko Ellipsoids that contain all the solutions of a positive semi-definite linear complementarity problem. (English) Zbl 0723.90079 Math. Program., Ser. B 48, No. 3, 415-435 (1990). Reviewer: M.Kojima MSC: 90C33 90C05 90-08 PDFBibTeX XMLCite \textit{M. Kojima} et al., Math. Program. 48, No. 3 (B), 415--435 (1990; Zbl 0723.90079) Full Text: DOI
Cottle, Richard W. The principal pivoting method revisited. (English) Zbl 0716.90095 Math. Program., Ser. B 48, No. 3, 369-385 (1990). MSC: 90C33 90C05 PDFBibTeX XMLCite \textit{R. W. Cottle}, Math. Program. 48, No. 3 (B), 369--385 (1990; Zbl 0716.90095) Full Text: DOI
Coleman, Thomas F.; Hulbert, Laurie A. A direct active set algorithm for large sparse quadratic programs with simple bounds. (English) Zbl 0691.90070 Math. Program., Ser. B 45, No. 3, 373-406 (1989). Reviewer: K.Zimmermann MSC: 90C20 65K05 65K10 65F30 90C06 PDFBibTeX XMLCite \textit{T. F. Coleman} and \textit{L. A. Hulbert}, Math. Program. 45, No. 3 (B), 373--406 (1989; Zbl 0691.90070) Full Text: DOI