{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T19:05:12Z","timestamp":1648926312333},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2009,1,15]],"date-time":"2009-01-15T00:00:00Z","timestamp":1231977600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput Optim Appl"],"published-print":{"date-parts":[[2010,11]]},"DOI":"10.1007\/s10589-008-9232-3","type":"journal-article","created":{"date-parts":[[2009,1,14]],"date-time":"2009-01-14T15:47:42Z","timestamp":1231948062000},"page":"401-429","source":"Crossref","is-referenced-by-count":5,"title":["Exact penalties for variational inequalities with\u00a0applications to\u00a0nonlinear complementarity\u00a0problems"],"prefix":"10.1007","volume":"47","author":[{"given":"Thiago A.","family":"de Andr\u00e9","sequence":"first","affiliation":[]},{"given":"Paulo J. S.","family":"Silva","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,1,15]]},"reference":[{"issue":"4","key":"9232_CR1","doi-asserted-by":"crossref","first-page":"1097","DOI":"10.1137\/S1052623499352656","volume":"10","author":"A. Auslender","year":"2000","unstructured":"Auslender, A., Teboulle, M.: Lagrangian duality and related multiplier methods for variational inequality problems. SIAM J. Optim. 10(4), 1097\u20131115 (2000)","journal-title":"SIAM J. Optim."},{"key":"9232_CR2","series-title":"Springer Monographs in Mathematics","volume-title":"Asymptotic Cones and Functions in Optimization and Variational Inequalities","author":"A. Auslender","year":"2003","unstructured":"Auslender, A., Teboulle, M.: Asymptotic Cones and Functions in Optimization and Variational Inequalities. Springer Monographs in Mathematics. Springer, New York (2003)"},{"key":"9232_CR3","volume-title":"Constrained Optimization and Lagrange Multipliers","author":"D. Bertsekas","year":"1982","unstructured":"Bertsekas, D.: Constrained Optimization and Lagrange Multipliers. Academic Press, New York (1982)"},{"key":"9232_CR4","volume-title":"Nonlinear Programming","author":"D. Bertsekas","year":"1995","unstructured":"Bertsekas, D.: Nonlinear Programming. Athena Scientific, Nashua (1995)"},{"key":"9232_CR5","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1023\/A:1008705425484","volume":"16","author":"T. Luca De","year":"2000","unstructured":"De Luca, T., Facchinei, F., Kanzow, C.: A theoretical and numerical comparison of some semismooth algorithms for complementarity problems. Comput. Optim. Appl. 16, 173\u2013205 (2000)","journal-title":"Comput. Optim. Appl."},{"issue":"5","key":"9232_CR6","doi-asserted-by":"crossref","first-page":"618","DOI":"10.1137\/0317044","volume":"17","author":"G. Di\u00a0Pillo","year":"1979","unstructured":"Di\u00a0Pillo, G., Grippo, L.: A new class of augmented Lagrangians in nonlinear programming. SIAM J. Control Optim. 17(5), 618\u2013628 (1979)","journal-title":"SIAM J. Control Optim."},{"issue":"1","key":"9232_CR7","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1137\/0323007","volume":"23","author":"G. Di Pillo","year":"1985","unstructured":"Di Pillo, G., Grippo, L.: A continuously differentiable exact penalty function for nonlinear programming problems with inequality constraints. SIAM J. Control Optim. 23(1), 72\u201384 (1985)","journal-title":"SIAM J. Control Optim."},{"issue":"6","key":"9232_CR8","doi-asserted-by":"crossref","first-page":"1333","DOI":"10.1137\/0327068","volume":"27","author":"G. Di Pillo","year":"1989","unstructured":"Di Pillo, G., Grippo, L.: Exact penalty functions in constrained optimization. SIAM J. Control Optim. 27(6), 1333\u20131360 (1989)","journal-title":"SIAM J. Control Optim."},{"key":"9232_CR9","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1080\/10556789508805619","volume":"2","author":"S.P. Dirkse","year":"1995","unstructured":"Dirkse, S.P., Ferris, M.C.: Mcplib: A collection on nonlinear mixed complementarity problems. Optim. Methods Softw. 2, 319\u2013345 (1995)","journal-title":"Optim. Methods Softw."},{"key":"9232_CR10","series-title":"Applied Optimization","first-page":"127","volume-title":"Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing","author":"S.P. Dirkse","year":"1999","unstructured":"Dirkse, S.P., Ferris, M.C.: Modeling and solution environments for MPEC: Gams & Matlab. In: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing, Lausanne, 1997. Applied Optimization, vol. 22, pp. 127\u2013147. Kluwer Academic, Norwell (1999)"},{"issue":"1","key":"9232_CR11","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/s101079900076","volume":"86","author":"J. Eckstein","year":"1999","unstructured":"Eckstein, J., Ferris, M.C.: Smooth methods of multipliers for complementarity problems. Math. Program. Ser.\u00a0A 86(1), 65\u201390 (1999)","journal-title":"Math. Program. Ser.\u00a0A"},{"key":"9232_CR12","series-title":"Springer Series in Operations Research","volume-title":"Finite-Dimensional Variational Inequalities and Complementarity Problems","author":"F. Facchinei","year":"2003","unstructured":"Facchinei, F., Pang, J.-S.: Finite-Dimensional Variational Inequalities and Complementarity Problems. Springer Series in Operations Research, vol.\u00a0I. Springer, New York (2003)"},{"key":"9232_CR13","series-title":"Springer Series in Operations Research","volume-title":"Finite-Dimensional Variational Inequalities and Complementarity Problems","author":"F. Facchinei","year":"2003","unstructured":"Facchinei, F., Pang, J.-S.: Finite-Dimensional Variational Inequalities and Complementarity Problems. Springer Series in Operations Research, vol.\u00a0II. Springer, New York (2003)"},{"issue":"1","key":"9232_CR14","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1137\/S1052623494279110","volume":"7","author":"F. Facchinei","year":"1997","unstructured":"Facchinei, F., Soares, J.: A new merit function for nonlinear complementarity problems and a related algorithm. SIAM J. Optim. 7(1), 225\u2013247 (1997)","journal-title":"SIAM J. Optim."},{"key":"9232_CR15","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1080\/02331939208843795","volume":"24","author":"A. Fischer","year":"1992","unstructured":"Fischer, A.: A special newton-type optimization method. Optimization 24, 269\u2013284 (1992)","journal-title":"Optimization"},{"key":"9232_CR16","first-page":"157","volume-title":"Integer and Nonlinear Programming","author":"R. Fletcher","year":"1970","unstructured":"Fletcher, R.: A class of methods for nonlinear programming with termination and convergence properties. In: Integer and Nonlinear Programming, pp. 157\u2013175. North-Holland, Amsterdam (1970)"},{"key":"9232_CR17","first-page":"371","volume-title":"Numerical Methods for Nonlinear Optimization","author":"R. Fletcher","year":"1972","unstructured":"Fletcher, R.: A class of methods for nonlinear programming. III. Rates of convergence. In: Numerical Methods for Nonlinear Optimization, Conf. Dundee, 1971, pp. 371\u2013381. Academic Press, London (1972)"},{"key":"9232_CR18","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/BF01580117","volume":"5","author":"R. Fletcher","year":"1973","unstructured":"Fletcher, R.: An exact penalty function for nonlinear programming with inequalities. Math. Program. 5, 129\u2013150 (1973)","journal-title":"Math. Program."},{"key":"9232_CR19","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/B978-0-12-597050-1.50007-5","volume-title":"Nonlinear Programming","author":"R. Fletcher","year":"1970","unstructured":"Fletcher, R., Lill, S.A.: A class of methods for nonlinear programming. II. Computational experience. In: Nonlinear Programming, Proc. Sympos., Univ. of Wisconsin, Madison, Wis., 1970, pp. 67\u201392. Academic Press, New York (1970)"},{"issue":"2","key":"9232_CR20","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1007\/BF01588240","volume":"17","author":"T. Glad","year":"1979","unstructured":"Glad, T., Polak, E.: A multiplier method with automatic limitation of penalty growth. Math. Program. 17(2), 140\u2013155 (1979)","journal-title":"Math. Program."},{"key":"9232_CR21","unstructured":"Kanzow, C.: C. Kanzow web site. http:\/\/www.mathematik.uni-wuerzburg.de\/~kanzow\/ . Accessed in January 2007"},{"issue":"5","key":"9232_CR22","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1080\/10556780410001683096","volume":"19","author":"C. Kanzow","year":"2004","unstructured":"Kanzow, C., Petra, S.: On a semismooth least squares formulation of complementarity problems with gap reduction. Optim. Methods Softw. 19(5), 507\u2013525 (2004)","journal-title":"Optim. Methods Softw."},{"issue":"5","key":"9232_CR23","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1080\/10556780701296455","volume":"22","author":"C. Kanzow","year":"2007","unstructured":"Kanzow, C., Petra, S.: Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. Optim. Methods Softw. 22(5), 713\u2013735 (2007)","journal-title":"Optim. Methods Softw."},{"issue":"3","key":"9232_CR24","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1007\/BF01681354","volume":"9","author":"H. Mukai","year":"1975","unstructured":"Mukai, H., Polak, E.: A quadratically convergent primal-dual algorithm with global convergence properties for solving optimization problems with equality constraints. Math. Program. 9(3), 336\u2013349 (1975)","journal-title":"Math. Program."},{"issue":"3","key":"9232_CR25","doi-asserted-by":"crossref","first-page":"809","DOI":"10.1137\/S1052623498340448","volume":"10","author":"T. Pennanen","year":"2000","unstructured":"Pennanen, T.: Dualization of generalized equations of maximal monotone type. SIAM J. Optim. 10(3), 809\u2013835 (2000)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"9232_CR26","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1287\/moor.18.1.227","volume":"18","author":"L. Qi","year":"1993","unstructured":"Qi, L.: Convergence analysis of some algorithms for solving nonsmooth equations. Math. Oper. Res. 18(1), 227\u2013244 (1993)","journal-title":"Math. Oper. Res."},{"issue":"3","key":"9232_CR27","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1007\/BF01581275","volume":"58","author":"L. Qi","year":"1993","unstructured":"Qi, L., Sun, J.: A nonsmooth version of Newton\u2019s method. Math. Program. Ser. A 58(3), 353\u2013367 (1993)","journal-title":"Math. Program. Ser. A"},{"key":"9232_CR28","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1287\/moor.1.2.97","volume":"1","author":"R.T. Rockafellar","year":"1976","unstructured":"Rockafellar, R.T.: Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Math. Oper. Res. 1, 97\u2013116 (1976)","journal-title":"Math. Oper. Res."}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-008-9232-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10589-008-9232-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-008-9232-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T11:36:36Z","timestamp":1559302596000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10589-008-9232-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1,15]]},"references-count":28,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,11]]}},"alternative-id":["9232"],"URL":"https:\/\/doi.org\/10.1007\/s10589-008-9232-3","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,1,15]]}}}