Franceschini, Andrea; Ferronato, Massimiliano; Frigo, Matteo; Janna, Carlo A reverse augmented constraint preconditioner for Lagrange multiplier methods in contact mechanics. (English) Zbl 07525985 Comput. Methods Appl. Mech. Eng. 392, Article ID 114632, 21 p. (2022). MSC: 65F08 65N55 PDF BibTeX XML Cite \textit{A. Franceschini} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114632, 21 p. (2022; Zbl 07525985) Full Text: DOI OpenURL
Houska, B.; Jiang, Y. Distributed optimization and control with ALADIN. (English) Zbl 07392588 Faulwasser, Timm (ed.) et al., Recent advances in model predictive control. Theory, algorithms, and applications. Cham: Springer. Lect. Notes Control Inf. Sci. 485, 135-163 (2021). MSC: 68-XX 90Cxx PDF BibTeX XML Cite \textit{B. Houska} and \textit{Y. Jiang}, Lect. Notes Control Inf. Sci. 485, 135--163 (2021; Zbl 07392588) Full Text: DOI OpenURL
Yashtini, Maryam; Kang, Sung Ha; Zhu, Wei Efficient alternating minimization methods for variational edge-weighted colorization models. (English) Zbl 1409.94713 Adv. Comput. Math. 45, No. 3, 1735-1767 (2019). MSC: 94A08 49M05 49K10 90C26 90C48 PDF BibTeX XML Cite \textit{M. Yashtini} et al., Adv. Comput. Math. 45, No. 3, 1735--1767 (2019; Zbl 1409.94713) Full Text: DOI OpenURL
Hassan, Siti Nor Habibah Binti; Niimi, Tomohiro; Yamashita, Nobuo Augmented Lagrangian method with alternating constraints for nonlinear optimization problems. (English) Zbl 1415.90120 J. Optim. Theory Appl. 181, No. 3, 883-904 (2019). MSC: 90C30 90C06 PDF BibTeX XML Cite \textit{S. N. H. B. Hassan} et al., J. Optim. Theory Appl. 181, No. 3, 883--904 (2019; Zbl 1415.90120) Full Text: DOI OpenURL
Boland, Natashia; Christiansen, Jeffrey; Dandurand, Brian; Eberhard, Andrew; Linderoth, Jeff; Luedtke, James; Oliveira, Fabricio Combining progressive hedging with a Frank-Wolfe method to compute Lagrangian dual bounds in stochastic mixed-integer programming. (English) Zbl 1398.90097 SIAM J. Optim. 28, No. 2, 1312-1336 (2018). Reviewer: Gerhard-Wilhelm Weber (Poznań) with Gülser Köksal, Başak Öztürk and Güray Kara MSC: 90C06 90C11 90C15 90C46 PDF BibTeX XML Cite \textit{N. Boland} et al., SIAM J. Optim. 28, No. 2, 1312--1336 (2018; Zbl 1398.90097) Full Text: DOI arXiv OpenURL
Xu, Lijun; Yu, Bo; Zhang, Yin An alternating direction and projection algorithm for structure-enforced matrix factorization. (English) Zbl 1387.90244 Comput. Optim. Appl. 68, No. 2, 333-362 (2017). MSC: 90C30 PDF BibTeX XML Cite \textit{L. Xu} et al., Comput. Optim. Appl. 68, No. 2, 333--362 (2017; Zbl 1387.90244) Full Text: DOI Link OpenURL
Berendsen, Judith; Burger, Martin; Pietschmann, Jan-Frederik On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion. (English) Zbl 1366.35064 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 10-39 (2017). MSC: 35K40 35K57 35K65 35A01 35B60 35A35 PDF BibTeX XML Cite \textit{J. Berendsen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 10--39 (2017; Zbl 1366.35064) Full Text: DOI arXiv OpenURL
Cho, Won Sang; Gainer, James S.; Kim, Doojin; Lim, Sung Hak; Matchev, Konstantin T.; Moortgat, Filip; Pape, Luc; Park, Myeonghun OPTIMASS: a package for the minimization of kinematic mass functions with constraints. (English) Zbl 1388.81005 J. High Energy Phys. 2016, No. 1, Paper No. 26, 40 p. (2016). MSC: 81-04 81V35 PDF BibTeX XML Cite \textit{W. S. Cho} et al., J. High Energy Phys. 2016, No. 1, Paper No. 26, 40 p. (2016; Zbl 1388.81005) Full Text: DOI arXiv OpenURL
Houska, Boris; Frasch, Janick; Diehl, Moritz An augmented Lagrangian based algorithm for distributed nonconvex optimization. (English) Zbl 1345.90069 SIAM J. Optim. 26, No. 2, 1101-1127 (2016). MSC: 90C26 90C06 68W15 PDF BibTeX XML Cite \textit{B. Houska} et al., SIAM J. Optim. 26, No. 2, 1101--1127 (2016; Zbl 1345.90069) Full Text: DOI Link OpenURL
Qu, Shaojian; Goh, Mark; Ji, Ying; De Souza, Robert A new algorithm for linearly constrained c-convex vector optimization with a supply chain network risk application. (English) Zbl 1346.90750 Eur. J. Oper. Res. 247, No. 2, 359-365 (2015). MSC: 90C29 90B06 90C25 PDF BibTeX XML Cite \textit{S. Qu} et al., Eur. J. Oper. Res. 247, No. 2, 359--365 (2015; Zbl 1346.90750) Full Text: DOI OpenURL
Chatzipanagiotis, Nikolaos; Dentcheva, Darinka; Zavlanos, Michael M. An augmented Lagrangian method for distributed optimization. (English) Zbl 1327.90198 Math. Program. 152, No. 1-2 (A), 405-434 (2015). MSC: 90C25 49M27 90C15 PDF BibTeX XML Cite \textit{N. Chatzipanagiotis} et al., Math. Program. 152, No. 1--2 (A), 405--434 (2015; Zbl 1327.90198) Full Text: DOI OpenURL
Fang, Ethan X.; He, Bingsheng; Liu, Han; Yuan, Xiaoming Generalized alternating direction method of multipliers: new theoretical insights and applications. (English) Zbl 1353.90110 Math. Program. Comput. 7, No. 2, 149-187 (2015). Reviewer: Igor V. Konnov (Kazan) MSC: 90C25 90C06 62J05 PDF BibTeX XML Cite \textit{E. X. Fang} et al., Math. Program. Comput. 7, No. 2, 149--187 (2015; Zbl 1353.90110) Full Text: DOI Link OpenURL
Kan, Chao; Song, Wen Augmented Lagrangian duality for composite optimization problems. (English) Zbl 1329.49062 J. Optim. Theory Appl. 165, No. 3, 763-784 (2015). Reviewer: Efstratios Rappos (Aubonne) MSC: 49N15 49K35 49J52 90C46 PDF BibTeX XML Cite \textit{C. Kan} and \textit{W. Song}, J. Optim. Theory Appl. 165, No. 3, 763--784 (2015; Zbl 1329.49062) Full Text: DOI OpenURL
Yao, Teng-Teng; Bai, Zheng-Jian Semidefinite inverse eigenvalue problems with prescribed entries and partial eigendata. (English) Zbl 1316.65045 J. Comput. Appl. Math. 287, 115-124 (2015). MSC: 65F18 65F10 PDF BibTeX XML Cite \textit{T.-T. Yao} and \textit{Z.-J. Bai}, J. Comput. Appl. Math. 287, 115--124 (2015; Zbl 1316.65045) Full Text: DOI OpenURL
He, Suxiang; Wu, Lixun A convergence analysis of a nonlinear Lagrange algorithm for general nonlinear constrained optimization problems. (English) Zbl 1324.90150 Appl. Math., Ser. B (Engl. Ed.) 29, No. 3, 352-366 (2014). MSC: 90C30 90C26 65F35 PDF BibTeX XML Cite \textit{S. He} and \textit{L. Wu}, Appl. Math., Ser. B (Engl. Ed.) 29, No. 3, 352--366 (2014; Zbl 1324.90150) Full Text: DOI OpenURL
Yuan, Ya Xiang Analysis on a superlinearly convergent augmented Lagrangian method. (English) Zbl 1292.90287 Acta Math. Sin., Engl. Ser. 30, No. 1, 1-10 (2014). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{Y. X. Yuan}, Acta Math. Sin., Engl. Ser. 30, No. 1, 1--10 (2014; Zbl 1292.90287) Full Text: DOI OpenURL
Shen, Yuan; Zhang, Wenxing; He, Bingsheng Relaxed augmented Lagrangian-based proximal point algorithms for convex optimization with linear constraints. (English) Zbl 1292.65065 J. Ind. Manag. Optim. 10, No. 3, 743-759 (2014). MSC: 65K05 90C25 49M29 90C30 PDF BibTeX XML Cite \textit{Y. Shen} et al., J. Ind. Manag. Optim. 10, No. 3, 743--759 (2014; Zbl 1292.65065) Full Text: DOI OpenURL
Schommer, Susan Computing equilibria in economies with incomplete markets, collateral and default penalties. (English) Zbl 1271.91079 Ann. Oper. Res. 206, 367-383 (2013). MSC: 91B50 PDF BibTeX XML Cite \textit{S. Schommer}, Ann. Oper. Res. 206, 367--383 (2013; Zbl 1271.91079) Full Text: DOI OpenURL
Andreani, Roberto; Fukuda, Ellen H.; Silva, Paulo J. S. A Gauss-Newton approach for solving constrained optimization problems using differentiable exact penalties. (English) Zbl 1281.90053 J. Optim. Theory Appl. 156, No. 2, 417-449 (2013). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{R. Andreani} et al., J. Optim. Theory Appl. 156, No. 2, 417--449 (2013; Zbl 1281.90053) Full Text: DOI OpenURL
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing; Cai, Xingju An ADM-based splitting method for separable convex programming. (English) Zbl 1269.90078 Comput. Optim. Appl. 54, No. 2, 343-369 (2013). MSC: 90C25 PDF BibTeX XML Cite \textit{D. Han} et al., Comput. Optim. Appl. 54, No. 2, 343--369 (2013; Zbl 1269.90078) Full Text: DOI OpenURL
He, Suxiang; Wu, Lixun; Meng, Hongchao A nonlinear Lagrangian for constrained optimization problems. (English) Zbl 1295.90080 J. Appl. Math. Comput. 38, No. 1-2, 669-685 (2012). MSC: 90C30 90C26 PDF BibTeX XML Cite \textit{S. He} et al., J. Appl. Math. Comput. 38, No. 1--2, 669--685 (2012; Zbl 1295.90080) Full Text: DOI OpenURL
Liu, Qian; Wang, Changyu An augmented Lagrangian algorithm for solving semiinfinite programming. (English) Zbl 1271.90092 J. Appl. Math. 2012, Article ID 145083, 11 p. (2012). MSC: 90C34 PDF BibTeX XML Cite \textit{Q. Liu} and \textit{C. Wang}, J. Appl. Math. 2012, Article ID 145083, 11 p. (2012; Zbl 1271.90092) Full Text: DOI OpenURL
Masarotto, Guido; Varin, Cristiano The ranking lasso and its application to sport tournaments. (English) Zbl 1257.62020 Ann. Appl. Stat. 6, No. 4, 1949-1970 (2012). MSC: 62F07 62J15 65C60 62P99 PDF BibTeX XML Cite \textit{G. Masarotto} and \textit{C. Varin}, Ann. Appl. Stat. 6, No. 4, 1949--1970 (2012; Zbl 1257.62020) Full Text: DOI arXiv Euclid OpenURL
Zhang, Qing-Bang A modified proximal point algorithm with errors for approximating solution of the general variational inclusion. (English) Zbl 1259.49017 Oper. Res. Lett. 40, No. 6, 564-567 (2012). MSC: 49J40 49M30 49J53 PDF BibTeX XML Cite \textit{Q.-B. Zhang}, Oper. Res. Lett. 40, No. 6, 564--567 (2012; Zbl 1259.49017) Full Text: DOI OpenURL
Deb, Kalyanmoy; Srivastava, Soumil A genetic algorithm based augmented Lagrangian method for constrained optimization. (English) Zbl 1264.90159 Comput. Optim. Appl. 53, No. 3, 869-902 (2012). MSC: 90C30 90C59 PDF BibTeX XML Cite \textit{K. Deb} and \textit{S. Srivastava}, Comput. Optim. Appl. 53, No. 3, 869--902 (2012; Zbl 1264.90159) Full Text: DOI OpenURL
Lantoine, Gregory; Russell, Ryan P. A hybrid differential dynamic programming algorithm for constrained optimal control problems. I: Theory. (English) Zbl 1260.49044 J. Optim. Theory Appl. 154, No. 2, 382-417 (2012). Reviewer: Joseph Frédéric Bonnans (Le Chesnay) MSC: 49L20 90C06 90C20 90C39 PDF BibTeX XML Cite \textit{G. Lantoine} and \textit{R. P. Russell}, J. Optim. Theory Appl. 154, No. 2, 382--417 (2012; Zbl 1260.49044) Full Text: DOI OpenURL
Zhou, Jinchuan; Xiu, Naihua; Wang, Changyu Saddle point and exact penalty representation for generalized proximal Lagrangians. (English) Zbl 1254.90182 J. Glob. Optim. 54, No. 4, 669-687 (2012). MSC: 90C26 90C46 PDF BibTeX XML Cite \textit{J. Zhou} et al., J. Glob. Optim. 54, No. 4, 669--687 (2012; Zbl 1254.90182) Full Text: DOI OpenURL
Wu, H. X.; Luo, H. Z. Saddle points of general augmented Lagrangians for constrained nonconvex optimization. (English) Zbl 1281.90037 J. Glob. Optim. 53, No. 4, 683-697 (2012). MSC: 90C26 90C33 PDF BibTeX XML Cite \textit{H. X. Wu} and \textit{H. Z. Luo}, J. Glob. Optim. 53, No. 4, 683--697 (2012; Zbl 1281.90037) Full Text: DOI OpenURL
Xu, Yangyang; Yin, Wotao; Wen, Zaiwen; Zhang, Yin An alternating direction algorithm for matrix completion with nonnegative factors. (English) Zbl 1323.65044 Front. Math. China 7, No. 2, 365-384 (2012). MSC: 65F30 15A23 15A83 15B48 65F20 PDF BibTeX XML Cite \textit{Y. Xu} et al., Front. Math. China 7, No. 2, 365--384 (2012; Zbl 1323.65044) Full Text: DOI arXiv OpenURL
Yuan, Xiaoming Alternating direction method for covariance selection models. (English) Zbl 1255.65031 J. Sci. Comput. 51, No. 2, 261-273 (2012). Reviewer: Rózsa Horvàth-Bokor (Budapest) MSC: 65C60 62J10 PDF BibTeX XML Cite \textit{X. Yuan}, J. Sci. Comput. 51, No. 2, 261--273 (2012; Zbl 1255.65031) Full Text: DOI OpenURL
Zhu, Xunzhi; Zhou, Jinchuan; Pan, Lili; Zhao, Wenling Generalized quadratic augmented Lagrangian methods with nonmonotone penalty parameters. (English) Zbl 1247.65079 J. Appl. Math. 2012, Article ID 181629, 15 p. (2012). MSC: 65K05 90C26 PDF BibTeX XML Cite \textit{X. Zhu} et al., J. Appl. Math. 2012, Article ID 181629, 15 p. (2012; Zbl 1247.65079) Full Text: DOI OpenURL
Gill, Philip E.; Robinson, Daniel P. A primal-dual augmented Lagrangian. (English) Zbl 1244.90219 Comput. Optim. Appl. 51, No. 1, 1-25 (2012). MSC: 90C30 PDF BibTeX XML Cite \textit{P. E. Gill} and \textit{D. P. Robinson}, Comput. Optim. Appl. 51, No. 1, 1--25 (2012; Zbl 1244.90219) Full Text: DOI OpenURL
Martínez, Jose Mario; da Fonseca Prudente, Leandro Handling infeasibility in a large-scale nonlinear optimization algorithm. (English) Zbl 1256.65058 Numer. Algorithms 60, No. 2, 263-277 (2012). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J. M. Martínez} and \textit{L. da Fonseca Prudente}, Numer. Algorithms 60, No. 2, 263--277 (2012; Zbl 1256.65058) Full Text: DOI OpenURL
Birgin, Ernesto G.; Martínez, J. M. Augmented Lagrangian method with nonmonotone penalty parameters for constrained optimization. (English) Zbl 1244.90216 Comput. Optim. Appl. 51, No. 3, 941-965 (2012). MSC: 90C30 PDF BibTeX XML Cite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 51, No. 3, 941--965 (2012; Zbl 1244.90216) Full Text: DOI Link OpenURL
Zhou, Y. Y.; Yang, X. Q. Augmented Lagrangian functions for constrained optimization problems. (English) Zbl 1258.90071 J. Glob. Optim. 52, No. 1, 95-108 (2012). MSC: 90C30 PDF BibTeX XML Cite \textit{Y. Y. Zhou} and \textit{X. Q. Yang}, J. Glob. Optim. 52, No. 1, 95--108 (2012; Zbl 1258.90071) Full Text: DOI OpenURL
Setzer, Simon Operator splittings, Bregman methods and frame shrinkage in image processing. (English) Zbl 1235.68314 Int. J. Comput. Vis. 92, No. 3, 265-280 (2011). MSC: 68U10 94A08 PDF BibTeX XML Cite \textit{S. Setzer}, Int. J. Comput. Vis. 92, No. 3, 265--280 (2011; Zbl 1235.68314) Full Text: DOI OpenURL
Zhou, Jinchuan; Zhu, Xunzhi; Pan, Lili; Zhao, Wenling New convergence properties of the primal augmented Lagrangian method. (English) Zbl 1242.49032 Abstr. Appl. Anal. 2011, Article ID 902131, 14 p. (2011). MSC: 49J45 49M30 PDF BibTeX XML Cite \textit{J. Zhou} et al., Abstr. Appl. Anal. 2011, Article ID 902131, 14 p. (2011; Zbl 1242.49032) Full Text: DOI OpenURL
Birgin, E. G.; Bueno, L. F.; Krejić, N.; Martínez, J. M. Low order-value approach for solving var-constrained optimization problems. (English) Zbl 1269.65052 J. Glob. Optim. 51, No. 4, 715-742 (2011). MSC: 65K05 91G10 90C30 91G60 PDF BibTeX XML Cite \textit{E. G. Birgin} et al., J. Glob. Optim. 51, No. 4, 715--742 (2011; Zbl 1269.65052) Full Text: DOI Link OpenURL
Birgin, Ernesto G.; Castelani, Emerson V.; Martinez, André L. M.; Martínez, J. M. Outer trust-region method for constrained optimization. (English) Zbl 1222.90059 J. Optim. Theory Appl. 150, No. 1, 142-155 (2011). MSC: 90C30 PDF BibTeX XML Cite \textit{E. G. Birgin} et al., J. Optim. Theory Appl. 150, No. 1, 142--155 (2011; Zbl 1222.90059) Full Text: DOI Link OpenURL
Zhang, Qing-Bang An algorithm for solving the general variational inclusion involving \(A\)-monotone operators. (English) Zbl 1218.47086 Comput. Math. Appl. 61, No. 6, 1682-1686 (2011). MSC: 47J22 47J25 65J15 PDF BibTeX XML Cite \textit{Q.-B. Zhang}, Comput. Math. Appl. 61, No. 6, 1682--1686 (2011; Zbl 1218.47086) Full Text: DOI OpenURL
Zhang, Liwei; Gu, Jian; Xiao, Xiantao A class of nonlinear Lagrangians for nonconvex second order cone programming. (English) Zbl 1242.90247 Comput. Optim. Appl. 49, No. 1, 61-99 (2011). MSC: 90C30 PDF BibTeX XML Cite \textit{L. Zhang} et al., Comput. Optim. Appl. 49, No. 1, 61--99 (2011; Zbl 1242.90247) Full Text: DOI OpenURL
Wang, Li; Shan, Feng; Zhang, Liwei An implementable augmented Lagrange method for solving fixed point problems with coupled constraints. (English) Zbl 1221.65148 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1761-1768 (2011). Reviewer: Marco Spadini (Firenze) MSC: 65K05 47H10 47H04 90C30 PDF BibTeX XML Cite \textit{L. Wang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1761--1768 (2011; Zbl 1221.65148) Full Text: DOI OpenURL
Grippo, Luigi; Palagi, Laura; Piccialli, Veronica An unconstrained minimization method for solving low-rank SDP relaxations of the maxcut problem. (English) Zbl 1206.90114 Math. Program. 126, No. 1 (A), 119-146 (2011). MSC: 90C22 90C30 PDF BibTeX XML Cite \textit{L. Grippo} et al., Math. Program. 126, No. 1 (A), 119--146 (2011; Zbl 1206.90114) Full Text: DOI OpenURL
Frick, Klaus; Scherzer, Otmar Regularization of ill-posed linear equations by the non-stationary augmented Lagrangian method. (English) Zbl 1203.90156 J. Integral Equations Appl. 22, No. 2, 217-257 (2010). MSC: 90C33 65K05 PDF BibTeX XML Cite \textit{K. Frick} and \textit{O. Scherzer}, J. Integral Equations Appl. 22, No. 2, 217--257 (2010; Zbl 1203.90156) Full Text: DOI OpenURL
Birgin, E. G.; Floudas, C. A.; Martínez, J. M. Global minimization using an augmented Lagrangian method with variable lower-level constraints. (English) Zbl 1198.90322 Math. Program. 125, No. 1 (A), 139-162 (2010). MSC: 90C26 90C30 65K05 PDF BibTeX XML Cite \textit{E. G. Birgin} et al., Math. Program. 125, No. 1 (A), 139--162 (2010; Zbl 1198.90322) Full Text: DOI Link OpenURL
Zhao, Wenling; Zhang, Jing; Zhou, Jinchuan Existence of local saddle points for a new augmented Lagrangian function. (English) Zbl 1195.90083 Math. Probl. Eng. 2010, Article ID 324812, 13 p. (2010). MSC: 90C30 PDF BibTeX XML Cite \textit{W. Zhao} et al., Math. Probl. Eng. 2010, Article ID 324812, 13 p. (2010; Zbl 1195.90083) Full Text: DOI EuDML OpenURL
Castelani, Emerson V.; Martinez, André L. M.; Martínez, J. M.; Svaiter, B. F. Addressing the greediness phenomenon in nonlinear programming by means of proximal augmented Lagrangians. (English) Zbl 1190.90205 Comput. Optim. Appl. 46, No. 2, 229-245 (2010). MSC: 90C30 PDF BibTeX XML Cite \textit{E. V. Castelani} et al., Comput. Optim. Appl. 46, No. 2, 229--245 (2010; Zbl 1190.90205) Full Text: DOI OpenURL
Luo, H. Z.; Mastroeni, G.; Wu, H. X. Separation approach for augmented lagrangians in Constrained nonconvex optimization. (English) Zbl 1190.90143 J. Optim. Theory Appl. 144, No. 2, 275-290 (2010). Reviewer: Karel Zimmermann (Praha) MSC: 90C26 90C30 PDF BibTeX XML Cite \textit{H. Z. Luo} et al., J. Optim. Theory Appl. 144, No. 2, 275--290 (2010; Zbl 1190.90143) Full Text: DOI OpenURL
Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. Second-order negative-curvature methods for box-constrained and general constrained optimization. (English) Zbl 1187.90265 Comput. Optim. Appl. 45, No. 2, 209-236 (2010). MSC: 90C30 90C46 PDF BibTeX XML Cite \textit{R. Andreani} et al., Comput. Optim. Appl. 45, No. 2, 209--236 (2010; Zbl 1187.90265) Full Text: DOI OpenURL
Iusem, Alfredo N.; Nasri, Mostafa Augmented Lagrangian methods for variational inequality problems. (English) Zbl 1187.90293 RAIRO, Oper. Res. 44, No. 1, 5-25 (2010). MSC: 90C33 90C47 49J35 PDF BibTeX XML Cite \textit{A. N. Iusem} and \textit{M. Nasri}, RAIRO, Oper. Res. 44, No. 1, 5--25 (2010; Zbl 1187.90293) Full Text: DOI Numdam EuDML OpenURL
Dussault, Jean-Pierre Improved convergence order for augmented penalty algorithms. (English) Zbl 1181.90244 Comput. Optim. Appl. 44, No. 3, 373-383 (2009). MSC: 90C30 PDF BibTeX XML Cite \textit{J.-P. Dussault}, Comput. Optim. Appl. 44, No. 3, 373--383 (2009; Zbl 1181.90244) Full Text: DOI OpenURL
Kim, H. J.; Figueroa, C. A.; Hughes, T. J. R.; Jansen, K. E.; Taylor, C. A. Augmented Lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow. (English) Zbl 1229.76118 Comput. Methods Appl. Mech. Eng. 198, No. 45-46, 3551-3566 (2009). MSC: 76Z05 76M10 92C35 PDF BibTeX XML Cite \textit{H. J. Kim} et al., Comput. Methods Appl. Mech. Eng. 198, No. 45--46, 3551--3566 (2009; Zbl 1229.76118) Full Text: DOI OpenURL
Wang, Chang-Yu; Li, Duan Unified theory of augmented Lagrangian methods for constrained global optimization. (English) Zbl 1192.90149 J. Glob. Optim. 44, No. 3, 433-458 (2009). MSC: 90C26 90C46 PDF BibTeX XML Cite \textit{C.-Y. Wang} and \textit{D. Li}, J. Glob. Optim. 44, No. 3, 433--458 (2009; Zbl 1192.90149) Full Text: DOI OpenURL
Wang, Changyu; Zhou, Jinchuan; Xu, Xiuhua Saddle points theory of two classes of augmented Lagrangians and its applications to generalized semi-infinite programming. (English) Zbl 1169.49014 Appl. Math. Optim. 59, No. 3, 413-434 (2009). MSC: 49K10 90C22 PDF BibTeX XML Cite \textit{C. Wang} et al., Appl. Math. Optim. 59, No. 3, 413--434 (2009; Zbl 1169.49014) Full Text: DOI OpenURL
Liu, Y. J.; Zhang, L. W. Convergence of the augmented Lagrangian method for nonlinear optimization problems over second-order cones. (English) Zbl 1176.90573 J. Optim. Theory Appl. 139, No. 3, 557-575 (2008). Reviewer: Oleg A. Shcherbina (Wien) MSC: 90C30 90C56 PDF BibTeX XML Cite \textit{Y. J. Liu} and \textit{L. W. Zhang}, J. Optim. Theory Appl. 139, No. 3, 557--575 (2009; Zbl 1176.90573) Full Text: DOI OpenURL
Rückmann, Jan-J.; Shapiro, Alexander Augmented lagrangians in semi-infinite programming. (English) Zbl 1165.90030 Math. Program. 116, No. 1-2 (B), 499-512 (2009). MSC: 90C34 PDF BibTeX XML Cite \textit{J.-J. Rückmann} and \textit{A. Shapiro}, Math. Program. 116, No. 1--2 (B), 499--512 (2009; Zbl 1165.90030) Full Text: DOI Link OpenURL
Ferreira-Mendonça, L.; Lopes, V. L. R.; Martínez, J. M. Quasi-Newton acceleration for equality-constrained minimization. (English) Zbl 1153.90572 Comput. Optim. Appl. 40, No. 3, 373-388 (2008). MSC: 90C53 90C30 PDF BibTeX XML Cite \textit{L. Ferreira-Mendonça} et al., Comput. Optim. Appl. 40, No. 3, 373--388 (2008; Zbl 1153.90572) Full Text: DOI OpenURL
Griva, Igor; Polyak, Roman A. 1.5-\(Q\)-superlinear convergence of an exterior-point method for constrained optimization. (English) Zbl 1149.90146 J. Glob. Optim. 40, No. 4, 679-695 (2008). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{I. Griva} and \textit{R. A. Polyak}, J. Glob. Optim. 40, No. 4, 679--695 (2008; Zbl 1149.90146) Full Text: DOI OpenURL
Birgin, E. G.; Martínez, J. M. Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization. (English) Zbl 1147.90412 Comput. Optim. Appl. 39, No. 1, 1-16 (2008). MSC: 90C53 65H10 90C30 PDF BibTeX XML Cite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 39, No. 1, 1--16 (2008; Zbl 1147.90412) Full Text: DOI Link OpenURL
Dostál, Z. An optimal algorithm for a class of equality constrained quadratic programming problems with bounded spectrum. (English) Zbl 1171.90495 Comput. Optim. Appl. 38, No. 1, 47-59 (2007). MSC: 90C20 PDF BibTeX XML Cite \textit{Z. Dostál}, Comput. Optim. Appl. 38, No. 1, 47--59 (2007; Zbl 1171.90495) Full Text: DOI OpenURL
Bonettini, Silvia; Galligani, Emanuele; Ruggiero, Valeria Inner solvers for interior point methods for large scale nonlinear programming. (English) Zbl 1146.90068 Comput. Optim. Appl. 37, No. 1, 1-34 (2007). MSC: 90C30 90C51 90C06 PDF BibTeX XML Cite \textit{S. Bonettini} et al., Comput. Optim. Appl. 37, No. 1, 1--34 (2007; Zbl 1146.90068) Full Text: DOI OpenURL
Liu, Yong-Jin; Zhang, Li-Wei Convergence analysis of the augmented Lagrangian method for nonlinear second-order cone optimization problems. (English) Zbl 1128.90054 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 5, 1359-1373 (2007). MSC: 90C30 90C48 PDF BibTeX XML Cite \textit{Y.-J. Liu} and \textit{L.-W. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 5, 1359--1373 (2007; Zbl 1128.90054) Full Text: DOI OpenURL
Pfeiffer, Friedrich; Foerg, Martin; Ulbrich, Heinz Numerical aspects of non-smooth multibody dynamics. (English) Zbl 1120.70305 Comput. Methods Appl. Mech. Eng. 195, No. 50-51, 6891-6908 (2006). MSC: 70-08 70E55 PDF BibTeX XML Cite \textit{F. Pfeiffer} et al., Comput. Methods Appl. Mech. Eng. 195, No. 50--51, 6891--6908 (2006; Zbl 1120.70305) Full Text: DOI OpenURL
Jian, Jin-Bao; Xu, Qing-Juan; Han, Dao-Lan A strongly convergent norm-relaxed method of strongly sub-feasible direction for optimization with nonlinear equality and inequality constraints. (English) Zbl 1108.65063 Appl. Math. Comput. 182, No. 1, 854-870 (2006). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J.-B. Jian} et al., Appl. Math. Comput. 182, No. 1, 854--870 (2006; Zbl 1108.65063) Full Text: DOI OpenURL
Du, Xuewu; Liang, Yumei; Zhang, Liansheng Further study on a class of augmented Lagrangians of Di Pillo and Grippo in nonlinear programming. (English) Zbl 1131.90059 J. Shanghai Univ. 10, No. 4, 293-298 (2006). MSC: 90C30 PDF BibTeX XML Cite \textit{X. Du} et al., J. Shanghai Univ. 10, No. 4, 293--298 (2006; Zbl 1131.90059) Full Text: DOI OpenURL
Förg, Martin; Pfeiffer, Friedrich; Ulbrich, Heinz Simulation of unilateral constrained systems with many bodies. (English) Zbl 1146.70317 Multibody Syst. Dyn. 14, No. 2, 137-154 (2005). MSC: 70E55 70-08 70F40 PDF BibTeX XML Cite \textit{M. Förg} et al., Multibody Syst. Dyn. 14, No. 2, 137--154 (2005; Zbl 1146.70317) Full Text: DOI OpenURL
Dubost, L.; Gonzalez, R.; Lemaréchal, C. A primal-proximal heuristic applied to the French unit-commitment problem. (English) Zbl 1077.90083 Math. Program. 104, No. 1 (A), 129-151 (2005). MSC: 90C90 90C59 90C06 PDF BibTeX XML Cite \textit{L. Dubost} et al., Math. Program. 104, No. 1 (A), 129--151 (2005; Zbl 1077.90083) Full Text: DOI OpenURL
Birgin, E. G.; Castillo, R. A.; Martínez, J. M. Numerical comparison of augmented Lagrangian algorithms for nonconvex problems. (English) Zbl 1101.90066 Comput. Optim. Appl. 31, No. 1, 31-55 (2005). MSC: 90C30 90C26 PDF BibTeX XML Cite \textit{E. G. Birgin} et al., Comput. Optim. Appl. 31, No. 1, 31--55 (2005; Zbl 1101.90066) Full Text: DOI Link OpenURL
Liu, Xian The role of stochastic programming in communication network design. (English) Zbl 1116.90322 Comput. Oper. Res. 32, No. 9, 2329-2349 (2005). MSC: 90B15 90B18 90C15 PDF BibTeX XML Cite \textit{X. Liu}, Comput. Oper. Res. 32, No. 9, 2329--2349 (2005; Zbl 1116.90322) Full Text: DOI OpenURL
Makris, Panagiotis A.; Provatidis, Christopher G. Weight minimisation of displacement-constrained truss structures using a strain energy criterion. (English) Zbl 1131.74328 Comput. Methods Appl. Mech. Eng. 191, No. 19-20, 2187-2205 (2002); corrigendum ibid. 383, Article ID 113911, 2 p. (2021). MSC: 74P05 74K10 PDF BibTeX XML Cite \textit{P. A. Makris} and \textit{C. G. Provatidis}, Comput. Methods Appl. Mech. Eng. 191, No. 19--20, 2187--2205 (2002; Zbl 1131.74328) Full Text: DOI OpenURL
Coello Coello, Carlos A. Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: A survey of the state-of-the-art. (English) Zbl 1026.74056 Comput. Methods Appl. Mech. Eng. 191, No. 11-12, 1245-1287 (2002). Reviewer: St.Jendo (Warszawa) MSC: 74P99 74S99 74-02 PDF BibTeX XML Cite \textit{C. A. Coello Coello}, Comput. Methods Appl. Mech. Eng. 191, No. 11--12, 1245--1287 (2002; Zbl 1026.74056) Full Text: DOI OpenURL
Liu, Chin-Sung; Tseng, Ching-Huan Space-decomposition multiplier method for constrained minimization problems. (English) Zbl 0980.90086 Comput. Math. Appl. 41, No. 1-2, 51-62 (2001). MSC: 90C30 49M27 65K05 49M30 PDF BibTeX XML Cite \textit{C.-S. Liu} and \textit{C.-H. Tseng}, Comput. Math. Appl. 41, No. 1--2, 51--62 (2001; Zbl 0980.90086) Full Text: DOI OpenURL
Kontogiorgis, Spyridon; Meyer, Robert R. A variable-penalty alternating directions method for convex optimization. (English) Zbl 0920.90118 Math. Program. 83, No. 1 (A), 29-53 (1998). MSC: 90C25 PDF BibTeX XML Cite \textit{S. Kontogiorgis} and \textit{R. R. Meyer}, Math. Program. 83, No. 1 (A), 29--53 (1998; Zbl 0920.90118) Full Text: DOI OpenURL
Nesterov, Yu. Interior-point methods: An old and new approach to nonlinear programming. (English) Zbl 0887.90164 Math. Program. 79, No. 1-3 (B), 285-297 (1997). MSC: 90C30 65K05 90C25 PDF BibTeX XML Cite \textit{Yu. Nesterov}, Math. Program. 79, No. 1--3 (B), 285--297 (1997; Zbl 0887.90164) Full Text: DOI OpenURL
Schaefer, Mark J. Verification of constrained minima. (English) Zbl 0859.65063 J. Comput. Appl. Math. 67, No. 2, 195-205 (1996). Reviewer: T.F.Coleman (Ithaca) MSC: 65K05 65G30 65Y20 90C30 PDF BibTeX XML Cite \textit{M. J. Schaefer}, J. Comput. Appl. Math. 67, No. 2, 195--205 (1996; Zbl 0859.65063) Full Text: DOI OpenURL
Armero, F.; Simo, J. C. Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations. (English) Zbl 0888.76042 Comput. Methods Appl. Mech. Eng. 131, No. 1-2, 41-90 (1996). MSC: 76M10 76W05 76D05 PDF BibTeX XML Cite \textit{F. Armero} and \textit{J. C. Simo}, Comput. Methods Appl. Mech. Eng. 131, No. 1--2, 41--90 (1996; Zbl 0888.76042) Full Text: DOI OpenURL
Psiaki, M. L.; Park, K. Augmented Lagrangian nonlinear programming algorithm that uses SQP and trust region techniques. (English) Zbl 0838.90112 J. Optimization Theory Appl. 86, No. 2, 311-325 (1995). MSC: 90C30 PDF BibTeX XML Cite \textit{M. L. Psiaki} and \textit{K. Park}, J. Optim. Theory Appl. 86, No. 2, 311--325 (1995; Zbl 0838.90112) Full Text: DOI OpenURL
Chen, Zhong; Fei, Pusheng A parallel algorithm for constrained optimization problems. (English) Zbl 0859.65061 J. Comput. Appl. Math. 61, No. 2, 225-230 (1995). Reviewer: T.F.Coleman (Ithaca) MSC: 65K05 65Y05 90C30 90C06 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{P. Fei}, J. Comput. Appl. Math. 61, No. 2, 225--230 (1995; Zbl 0859.65061) Full Text: DOI OpenURL
Simo, J. C.; Armero, F. Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations. (English) Zbl 0846.76075 Comput. Methods Appl. Mech. Eng. 111, No. 1-2, 111-154 (1994). MSC: 76M25 76D05 76B47 65M12 PDF BibTeX XML Cite \textit{J. C. Simo} and \textit{F. Armero}, Comput. Methods Appl. Mech. Eng. 111, No. 1--2, 111--154 (1994; Zbl 0846.76075) Full Text: DOI OpenURL
Conn, A. R.; Gould, Nick; Toint, Ph. L. A note on exploiting structure when using slack variables. (English) Zbl 0827.90126 Math. Program. 67, No. 1 (A), 89-97 (1994). Reviewer: N.Djuranović-Miličić (Beograd) MSC: 90C30 65K05 90C06 PDF BibTeX XML Cite \textit{A. R. Conn} et al., Math. Program. 67, No. 1 (A), 89--97 (1994; Zbl 0827.90126) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{B. Xiao} and \textit{P. T. Harker}, Math. Program. 65, No. 2 (A), 195--216 (1994; Zbl 0812.65049) Full Text: DOI OpenURL
Zenios, Stavros A. Data parallel computing for network-structured optimization problems. (English) Zbl 0803.90122 Comput. Optim. Appl. 3, No. 3, 199-242 (1994). MSC: 90C35 65Y05 90C06 PDF BibTeX XML Cite \textit{S. A. Zenios}, Comput. Optim. Appl. 3, No. 3, 199--242 (1994; Zbl 0803.90122) Full Text: DOI OpenURL
Contesse-Becker, L. Extended convergence results for the method of multipliers for nonstrictly binding inequality constraints. (English) Zbl 0797.90087 J. Optimization Theory Appl. 79, No. 2, 273-310 (1993). MSC: 90C30 49M30 PDF BibTeX XML Cite \textit{L. Contesse-Becker}, J. Optim. Theory Appl. 79, No. 2, 273--310 (1993; Zbl 0797.90087) Full Text: DOI OpenURL
Tseng, Paul Dual coordinate ascent methods for non-strictly convex minimization. (English) Zbl 0782.90073 Math. Program. 59, No. 2 (A), 231-247 (1993). Reviewer: L.B.Merkulovich (St.Peterburg) MSC: 90C25 49J52 PDF BibTeX XML Cite \textit{P. Tseng}, Math. Program. 59, No. 2 (A), 231--247 (1993; Zbl 0782.90073) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Eckstein} and \textit{D. P. Bertsekas}, Math. Program. 55, No. 3 (A), 293--318 (1992; Zbl 0765.90073) Full Text: DOI OpenURL
Güler, O. Augmented Lagrangian algorithms for linear programming. (English) Zbl 0797.90061 J. Optimization Theory Appl. 75, No. 3, 445-470 (1992). MSC: 90C05 90C25 PDF BibTeX XML Cite \textit{O. Güler}, J. Optim. Theory Appl. 75, No. 3, 445--470 (1992; Zbl 0797.90061) Full Text: DOI OpenURL
Polyak, R. Modified barrier functions (theory and methods). (English) Zbl 0756.90085 Math. Program., Ser. A 54, No. 2, 177-222 (1992). MSC: 90C30 90-08 PDF BibTeX XML Cite \textit{R. Polyak}, Math. Program. 54, No. 2 (A), 177--222 (1992; Zbl 0756.90085) Full Text: DOI OpenURL
Helgason, Thorkell; Wallace, Stein W. Approximate scenario solutions in the progressive hedging algorithm. A numerical study with an application to fisheries management. (English) Zbl 0739.90047 Ann. Oper. Res. 31, 425-444 (1991). Reviewer: L.Paditz (Dresden) MSC: 90C15 91B76 93E20 93C95 90C90 90-08 93C55 49L20 PDF BibTeX XML Cite \textit{T. Helgason} and \textit{S. W. Wallace}, Ann. Oper. Res. 31, 425--444 (1991; Zbl 0739.90047) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{P. T. Harker} and \textit{B. Xiao}, Math. Program. 48, No. 3 (B), 339--357 (1990; Zbl 0724.90071) Full Text: DOI OpenURL
Feng, X.; Mukai, H.; Brown, R. H. New decomposition and convexification algorithm for nonconvex large-scale primal-dual optimization. (English) Zbl 0696.90053 J. Optimization Theory Appl. 67, No. 2, 279-296 (1990). Reviewer: X.Feng MSC: 90C26 65K05 90C06 90C30 90-08 PDF BibTeX XML Cite \textit{X. Feng} et al., J. Optim. Theory Appl. 67, No. 2, 279--296 (1990; Zbl 0696.90053) Full Text: DOI OpenURL
Wright, S. J. Implementing proximal point methods for linear programming. (English) Zbl 0676.90042 J. Optimization Theory Appl. 65, No. 3, 531-554 (1990). Reviewer: S.J.Wright MSC: 90C05 65K05 PDF BibTeX XML Cite \textit{S. J. Wright}, J. Optim. Theory Appl. 65, No. 3, 531--554 (1990; Zbl 0676.90042) Full Text: DOI OpenURL
Snyman, J. A. A parameter-free multiplier method for constrained minimization problems. (English) Zbl 0652.65052 J. Comput. Appl. Math. 23, No. 2, 155-168 (1988). Reviewer: V.S.Izhuthin MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J. A. Snyman}, J. Comput. Appl. Math. 23, No. 2, 155--168 (1988; Zbl 0652.65052) Full Text: DOI OpenURL
Powell, M. J. D. An algorithm for maximizing entropy subject to simple bounds. (English) Zbl 0649.90086 Math. Program., Ser. B 42, No. 1, 171-180 (1988). Reviewer: S.Mititelu MSC: 90C30 65K05 94A17 PDF BibTeX XML Cite \textit{M. J. D. Powell}, Math. Program. 42, No. 1 (B), 171--180 (1988; Zbl 0649.90086) Full Text: DOI OpenURL
Le Tallec, P.; Lotfi, A. Decomposition methods for adherence problems in finite elasticity. (English) Zbl 0626.73028 Comput. Methods Appl. Mech. Eng. 68, No. 1, 67-82 (1988). MSC: 74B20 74A55 74M15 65K10 PDF BibTeX XML Cite \textit{P. Le Tallec} and \textit{A. Lotfi}, Comput. Methods Appl. Mech. Eng. 68, No. 1, 67--82 (1988; Zbl 0626.73028) Full Text: DOI Link OpenURL
Grzegórski, S. M. Multilevel least-change Newton-like methods for equality constrained optimization problems. (English) Zbl 0625.90076 Math. Program. 37, 91-116 (1987). Reviewer: K.Schittkowski MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{S. M. Grzegórski}, Math. Program. 37, 91--116 (1987; Zbl 0625.90076) Full Text: DOI OpenURL
Gonen, A.; Avriel, M. A primal-dual Newton-type algorithm for geometric programs with equality constraints. (English) Zbl 0573.90078 J. Optimization Theory Appl. 49, 239-269 (1986). MSC: 90C30 90C99 65K05 PDF BibTeX XML Cite \textit{A. Gonen} and \textit{M. Avriel}, J. Optim. Theory Appl. 49, 239--269 (1986; Zbl 0573.90078) Full Text: DOI OpenURL
Outrata, Jiří V.; Jarušek, Jiří Duality theory in mathematical programming and optimal control. (English) Zbl 0589.90066 Kybernetika 20/21 (1984/85), Suppl., 119 pp. (1985). Reviewer: F.Colonius MSC: 90C48 90C46 90-02 49N15 49-02 49M37 PDF BibTeX XML Full Text: EuDML OpenURL
Spingarn, Jonathan E. Applications of the method of partial inverses to convex programming: Decomposition. (English) Zbl 0565.90058 Math. Program. 32, 199-223 (1985). MSC: 90C25 90C55 65K05 90C06 PDF BibTeX XML Cite \textit{J. E. Spingarn}, Math. Program. 32, 199--223 (1985; Zbl 0565.90058) Full Text: DOI OpenURL
Ibiejugba, M. A. The role of the multipliers in the multiplier method. (English) Zbl 0549.49026 J. Optimization Theory Appl. 47, 195-216 (1985). MSC: 49M29 49M30 93C05 65K10 90C30 PDF BibTeX XML Cite \textit{M. A. Ibiejugba}, J. Optim. Theory Appl. 47, 195--216 (1985; Zbl 0549.49026) Full Text: DOI OpenURL
Mikulecka, Jaroslava On a hybrid experimental design. (English) Zbl 0513.62076 Kybernetika 19, 1-14 (1983). MSC: 62K05 90C90 62J05 90C25 PDF BibTeX XML Cite \textit{J. Mikulecka}, Kybernetika 19, 1--14 (1983; Zbl 0513.62076) Full Text: EuDML OpenURL