{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T14:17:21Z","timestamp":1648909041981},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2003,6,1]],"date-time":"2003-06-01T00:00:00Z","timestamp":1054425600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Top"],"published-print":{"date-parts":[[2003,6]]},"DOI":"10.1007\/bf02578953","type":"journal-article","created":{"date-parts":[[2007,3,22]],"date-time":"2007-03-22T21:13:07Z","timestamp":1174597987000},"page":"109-130","source":"Crossref","is-referenced-by-count":5,"title":["A sequential quadratic programming with a dual parametrization approach to nonlinear semi-infinite programming"],"prefix":"10.1007","volume":"11","author":[{"given":"A. Ismael F.","family":"Vaz","sequence":"first","affiliation":[]},{"given":"Edite M. G. P.","family":"Fernandes","sequence":"additional","affiliation":[]},{"given":"M. Paula S. F.","family":"Gomes","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF02578953_CR1","unstructured":"Bazaraa M., Sherali H. and Shetty C. (1993).Nonlinear Programming, Theory and Algorithms. John Wiley."},{"key":"BF02578953_CR2","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1145\/200979.201043","volume":"21","author":"I. Bongartz","year":"1995","unstructured":"Bongartz I., Conn A., Gould N. and Toint P. (1995). CUTE: Constrained and Unconstrained Testing Environment.ACM Transactions on Mathematical Software, 21, 123\u2013160. ftp:\/\/130.246.9.91\/pub\/cute.","journal-title":"ACM Transactions on Mathematical Software"},{"key":"BF02578953_CR3","unstructured":"Fletcher R. and Leyffer S. (1997). Nonlinear programming without a penalty function. Numerical analysis report, NA\/171, University of Dundee."},{"key":"BF02578953_CR4","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1287\/mnsc.36.5.519","volume":"36","author":"R. Fourer","year":"1990","unstructured":"Fourer R., Gay D., and Kernighan B. (1990). A modeling language for mathematical programming.Management Science 36, 519\u2013554.","journal-title":"Management Science"},{"key":"BF02578953_CR5","unstructured":"Gill P., Murray W., Saunders M., and Wright M. (1986).User\u2019s Guide for NPSOL: A Fortran Package for Nonlinear Programming. Stanford University."},{"key":"BF02578953_CR6","unstructured":"G\u00f6rner S. (1997). Ein Hybridverfahren Zur L\u00f6sung Nichtlinearer Semi-Infiniter Optimierungsprobleme. Ph.D. Thesis, Fachbereich Mathematik der Technischen Universit\u00e4t Berlin."},{"key":"BF02578953_CR7","doi-asserted-by":"crossref","unstructured":"Gribik P. (1979). A central-cutting-plane algorithm for semi-infinite programming problems. In: Hettich R. (ed.),Semi-Infinite Programming. Springer-Verlag, 66\u201382.","DOI":"10.1007\/BFb0003884"},{"key":"BF02578953_CR8","unstructured":"Haaren-Retagne E. (1992). A Semi-Infinite Programming Algorithm for Robot Trajectory Planning. Ph.D. Thesis, University of Trier."},{"key":"BF02578953_CR9","doi-asserted-by":"crossref","first-page":"354","DOI":"10.1007\/BF01582235","volume":"34","author":"R. Hettich","year":"1986","unstructured":"Hettich R. (1986). An implementation of a discretization method for semi-infinite programming.Mathematical Programming 34, 354\u2013361.","journal-title":"Mathematical Programming"},{"key":"BF02578953_CR10","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1007\/BF01585742","volume":"46","author":"R. Hettich","year":"1990","unstructured":"Hettich R. and Gramlich G. (1990). A note on an implementation of a method for quadratic semi-infinite programming.Mathematical Programming 46, 249\u2013254.","journal-title":"Mathematical Programming"},{"key":"BF02578953_CR11","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1137\/1035089","volume":"35","author":"R. Hettich","year":"1993","unstructured":"Hettich R. and Kortanek K. (1993). Semi-infinite programming: Theory, methods, and applications.SIAM Review 35, 380\u2013429.","journal-title":"SIAM Review"},{"key":"BF02578953_CR12","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1111\/j.1475-3995.1997.tb00084.x","volume":"4","author":"J. Kaliski","year":"1997","unstructured":"Kaliski J., Haglin D., Roos C. and Terlaky, T. (1997). Logarithmic barrier decomposition methods for semi-infinite programming.International Transactions in Operational Research 4, 285\u2013303.","journal-title":"International Transactions in Operational Research"},{"key":"BF02578953_CR13","doi-asserted-by":"crossref","unstructured":"Lawrence C. and Tits A. (1998). Feasible sequential quadratic programming for finely discretized problems from SIP. In: Reemtsen R. and R\u00fcckmann J.-J. (eds.),Semi-Infinite Programming. Kluwer Academic Publishers, 159\u2013193.","DOI":"10.1007\/978-1-4757-2868-2_6"},{"key":"BF02578953_CR14","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1016\/S0377-2217(99)00042-9","volume":"121","author":"T. Le\u00f3n","year":"2000","unstructured":"Le\u00f3n T., Sanmat\u00edas S. and Vercher E. (2000). On the numerical treatment of linearly constrained semi-infinite optimization problems.European Journal of Operational Research 121, 78\u201391.","journal-title":"European Journal of Operational Research"},{"key":"BF02578953_CR15","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1080\/10556789908805725","volume":"10","author":"Y. Liu","year":"1999","unstructured":"Liu Y., Teo K. and Ito S. (1999). A dual parametrization approach to linear-quadratic semi-infinite programming problems.Optimization Methods and Software 10, 471\u2013495.","journal-title":"Optimization Methods and Software"},{"key":"BF02578953_CR16","unstructured":"Nash S. and Sofer A. (1996).Linear and Nonlinear Programming. McGraw-Hill International Editions."},{"key":"BF02578953_CR17","doi-asserted-by":"crossref","unstructured":"Nocedal J. and Wright S. (1999).Numerical Optimization. Springer Series in Operations Research. Springer.","DOI":"10.1007\/b98874"},{"key":"BF02578953_CR18","volume-title":"Non-Linear Semi-Infinite Programming","author":"C. Price","year":"1992","unstructured":"Price C. (1992). Non-Linear Semi-Infinite Programming. Ph.D.Thesis, University of Canterbury, New Zealand."},{"key":"BF02578953_CR19","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/BF00249645","volume":"6","author":"C. Price","year":"1996","unstructured":"Price C. and Coope I. (1996). Numerical experiments in semi-infinite programming.Computational Optimization and Applications 6, 169\u2013189.","journal-title":"Computational Optimization and Applications"},{"key":"BF02578953_CR20","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/BF00940041","volume":"71","author":"R. Reemtsen","year":"1991","unstructured":"Reemtsen R. (1991). Discretization methods for the solution of semi-infinite programming problems.Journal of Optimization Theory and Applications 71, 85\u2013103.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"BF02578953_CR21","doi-asserted-by":"crossref","unstructured":"Reemtsen R. and G\u00f6rner S. (1998). Numerical methods for semi-infinite programming: A survey. In: Reemtsen R. and R\u00fcckmann J.-J. (eds.),Semi-Infinite Programming. Kluwer Academic Publishers, 195\u2013275.","DOI":"10.1007\/978-1-4757-2868-2_7"},{"key":"BF02578953_CR22","doi-asserted-by":"crossref","unstructured":"Roleff K. (1979). A stable multiple exchange algorithm for linear SIP. In: Hettich R. (eds.),Semi-Infinite Programming. Springer-Verlag, 83\u201396.","DOI":"10.1007\/BFb0003885"},{"key":"BF02578953_CR23","series-title":"Technical Report","volume-title":"SIPAMPL: Semi-Infinite Programming with AMPL","author":"A. Vaz","year":"2000","unstructured":"Vaz A., Fernandes E. and Gomes M. (2000). SIPAMPL: Semi-Infinite Programming with AMPL. Technical Report ALG\/EF\/1-2000, University do Minho, Braga, Portugal. http:\/\/www.eng.uminho.pt\/~dps\/aivaz\/."},{"key":"BF02578953_CR24","first-page":"37","volume":"21","author":"A. Vaz","year":"2001","unstructured":"Vaz A., Fernandes E., and Gomes M. (2001a). Discretization methods for semi-infinite programming.Investiga\u00e7\u00e3o Operacional 21, 37\u201346.","journal-title":"Investiga\u00e7\u00e3o Operacional"},{"key":"BF02578953_CR25","unstructured":"Vaz, A., Fernandes, E., and Gomes, M. (2001b). Penalty function algorithms for semi-infinite programming.Internal report (to be published)."},{"key":"BF02578953_CR26","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/S0898-1221(99)00068-1","volume":"37","author":"M.-H. Wang","year":"1999","unstructured":"Wang M.-H. and Kuo Y.-E. (1999). A perturbation method for solving linear semi-infinite programming problems.Computers and Mathematic with Applications 37, 181\u2013198.","journal-title":"Computers and Mathematic with Applications"},{"key":"BF02578953_CR27","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1007\/BF01941472","volume":"21","author":"G. Watson","year":"1981","unstructured":"Watson G. (1981). Globally convergent methods for semi-infinite programming.BIT 21, 362\u2013373.","journal-title":"BIT"},{"key":"BF02578953_CR28","doi-asserted-by":"crossref","unstructured":"Wheeden R. and Zygmund A. (1977).Measure and Integral, an Introduction to Real Analysis. Marcel Dekker, Inc.","DOI":"10.1201\/b15702"},{"key":"BF02578953_CR29","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/S0898-1221(99)00203-5","volume":"38","author":"S.-Y. Wu","year":"1999","unstructured":"Wu S.-Y. and Fang S.-C. (1999). Solving convex programs with infinitely many constraints by a relaxed cutting plane method.Computers and Mathematics with Applications 38, 23\u201333.","journal-title":"Computers and Mathematics with Applications"},{"key":"BF02578953_CR30","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1137\/0806025","volume":"6","author":"J. Zhou","year":"1996","unstructured":"Zhou J. and Tits A. (1996). An SQP algorithm for finely discretized continuous minimax problems and other minimax problems with many objective functions.SIAM Journal on Optimization, 6, 461\u2013487.","journal-title":"SIAM Journal on Optimization"}],"container-title":["Top"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02578953.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02578953\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02578953","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,18]],"date-time":"2019-05-18T16:44:55Z","timestamp":1558197895000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02578953"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,6]]},"references-count":30,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2003,6]]}},"alternative-id":["BF02578953"],"URL":"https:\/\/doi.org\/10.1007\/bf02578953","relation":{},"ISSN":["1134-5764","1863-8279"],"issn-type":[{"value":"1134-5764","type":"print"},{"value":"1863-8279","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,6]]}}}