{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T08:50:38Z","timestamp":1680252638410},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2010,10,7]],"date-time":"2010-10-07T00:00:00Z","timestamp":1286409600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2012,2]]},"DOI":"10.1007\/s11590-010-0244-4","type":"journal-article","created":{"date-parts":[[2010,10,6]],"date-time":"2010-10-06T09:23:30Z","timestamp":1286357010000},"page":"291-298","source":"Crossref","is-referenced-by-count":6,"title":["A relaxation method for solving systems with infinitely many linear inequalities"],"prefix":"10.1007","volume":"6","author":[{"given":"E.","family":"Gonz\u00e1lez-Guti\u00e9rrez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. I.","family":"Todorov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,10,7]]},"reference":[{"key":"244_CR1","doi-asserted-by":"crossref","first-page":"382","DOI":"10.4153\/CJM-1954-037-2","volume":"6","author":"S. Agmon","year":"1954","unstructured":"Agmon S.: The relaxation method for linear inequalities. Can. J. Math. 6, 382\u2013392 (1954)","journal-title":"Can. J. Math."},{"issue":"3","key":"244_CR2","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1007\/s11590-008-0111-8","volume":"3","author":"A. Antunes de Oliveira","year":"2009","unstructured":"Antunes de Oliveira A., Rojas-Medar M.A.: Proper efficiency in vector infinite programming problems. Optim. Lett. 3(3), 319\u2013328 (2009)","journal-title":"Optim. Lett."},{"key":"244_CR3","volume-title":"The Elements of Real Analysis","author":"R.G. Bartle","year":"1964","unstructured":"Bartle R.G.: The Elements of Real Analysis. Wiley, New York (1964)"},{"key":"244_CR4","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/s10107-003-0492-5","volume":"101","author":"B. Betro","year":"2004","unstructured":"Betro B.: An accelerated central cutting plane algorithm for linear semi-infinite programming. Math. Program., Ser. A 101, 479\u2013495 (2004)","journal-title":"Math. Program., Ser. A"},{"key":"244_CR5","volume-title":"Parallel optimization: Theory, Algorithms, and Applications","author":"Y. Censor","year":"1997","unstructured":"Censor Y., Zenios S.: Parallel optimization: Theory, Algorithms, and Applications. Oxford University Press, New York (1997)"},{"key":"244_CR6","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1007\/BF01582053","volume":"32","author":"I.D. Coope","year":"1985","unstructured":"Coope I.D., Watson G.A.: A projected Lagrangian algorithm for semi-infinite programming. Math. Program. 32, 337\u2013356 (1985)","journal-title":"Math. Program."},{"key":"244_CR7","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1080\/02331939408843923","volume":"28","author":"S.-C. Fang","year":"1994","unstructured":"Fang S.-C., Wu S.-Y.: An inexact approach to solving linear semi-infinite programming problems. Optimization 28, 291\u2013299 (1994)","journal-title":"Optimization"},{"issue":"1","key":"244_CR8","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1007\/s10589-007-9013-4","volume":"37","author":"S.-C. Fang","year":"2007","unstructured":"Fang S.-C., Wu S.-Y., Birbil S.I.: Solving variational inequalities defined on a domain with infinitely many linear constraints. Comput. Optim. Appl. 37(1), 67\u201381 (2007)","journal-title":"Comput. Optim. Appl."},{"key":"244_CR9","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/j.jmaa.2009.10.015","volume":"364","author":"M.A. Goberna","year":"2010","unstructured":"Goberna M.A., Gonz\u00e1lez E., Mart\u00ednez-Legaz J.E., Todorov M.I.: Motzkin decomposition of closed convex sets. J. Math. Anal. Appl. 364, 209\u2013221 (2010)","journal-title":"J. Math. Anal. Appl."},{"key":"244_CR10","doi-asserted-by":"crossref","first-page":"390","DOI":"10.1016\/S0377-2217(02)00327-2","volume":"143","author":"M.A. Goberna","year":"2002","unstructured":"Goberna M.A., L\u00f3pez M.A.: Linear semi-infinite optimization theory: an updated survey. Eur. J. Oper. Res. 143, 390\u2013415 (2002)","journal-title":"Eur. J. Oper. Res."},{"key":"244_CR11","volume-title":"Linear Semi-Infinite Optimization","author":"M.A. Goberna","year":"1998","unstructured":"Goberna M.A., L\u00f3pez M.A.: Linear Semi-Infinite Optimization. Wiley, Chichester (1998)"},{"key":"244_CR12","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1007\/978-1-4613-3632-7_10","volume-title":"Large scale optimization: state of the art","author":"J-L. Goffin","year":"1994","unstructured":"Goffin J-L., Lou Z.Q., Ye Y.: On the complexity of a column generation algorithm for convex or quasiconvex feasibility problems. In: Hanger, W.W., Hearn, D.W., Pardalos, P.M. (eds) Large scale optimization: state of the art, pp. 182\u2013191. Kluwer, Boston (1994)"},{"key":"244_CR13","doi-asserted-by":"crossref","first-page":"638","DOI":"10.1137\/S1052623493258635","volume":"6","author":"J.-L. Goffin","year":"1996","unstructured":"Goffin J.-L., Lou Z.-Q., Ye Y.: Comlexity analysis of an interior cutting plane method for convex feasibility problems. SIAM J. Optim. 6, 638\u2013652 (1996)","journal-title":"SIAM J. Optim."},{"key":"244_CR14","volume-title":"Image Reconstruction from Projections: The fundamentals of computerized Tomography","author":"G.T. Herman","year":"1980","unstructured":"Herman G.T.: Image Reconstruction from Projections: The fundamentals of computerized Tomography. Academic Press, New York (1980)"},{"key":"244_CR15","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1137\/1035089","volume":"35","author":"R. Hettich","year":"1993","unstructured":"Hettich R., Kortanek K.O.: Semi-infinite programming: theory, methods and applications. SIAM Rev. 35, 380\u2013429 (1993)","journal-title":"SIAM Rev."},{"key":"244_CR16","doi-asserted-by":"crossref","unstructured":"Hu, H.: A projection method for solving infinite systems of linear inequalities. Advances in Optimization and Approximation pp. 186\u2013194. Kluwer, Dordrecht (1994)","DOI":"10.1007\/978-1-4613-3629-7_9"},{"key":"244_CR17","first-page":"43","volume":"21","author":"R.G. Jeroslow","year":"1979","unstructured":"Jeroslow R.G.: Some relaxation methods for linear inequalities. Cahiers du Cero 21, 43\u201353 (1979)","journal-title":"Cahiers du Cero"},{"key":"244_CR18","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/0377-0427(94)00051-2","volume":"61","author":"C.-J. Lin","year":"1995","unstructured":"Lin C.-J., Yang E.K., Fang S.-C.: Implementation of an inexact approach to solving linear semi-infinite programming problems. J. Comput. Appl. Math. 61, 87\u2013103 (1995)","journal-title":"J. Comput. Appl. Math."},{"issue":"1","key":"244_CR19","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/s11590-007-0044-7","volume":"2","author":"A. Maugeri","year":"2008","unstructured":"Maugeri A., Raciti F.: On general infinite dimensional complementarity problems. Optim. Lett. 2(1), 71\u201390 (2008)","journal-title":"Optim. Lett."},{"key":"244_CR20","doi-asserted-by":"crossref","first-page":"393","DOI":"10.4153\/CJM-1954-038-x","volume":"6","author":"T.S. Motzkin","year":"1954","unstructured":"Motzkin T.S., Shoenberg I.J.: The relaxation method for linear inequalities. Reprinted from Can. J. Math. 6, 393\u2013404 (1954)","journal-title":"Reprinted from Can. J. Math."},{"key":"244_CR21","doi-asserted-by":"crossref","first-page":"219","DOI":"10.3934\/jimo.2005.1.219","volume":"1","author":"B. \u00d6z\u00e7am","year":"2005","unstructured":"\u00d6z\u00e7am B., Cheng H.: A discretization based smoothing method for solving semi-infinite variational inequalities. J. Ind. Manag. Optim. 1, 219\u2013233 (2005)","journal-title":"J. Ind. Manag. Optim."},{"key":"244_CR22","volume-title":"Handbook of Applied Optimization","year":"2002","unstructured":"Pardalos, P.M., Resende, M. (eds): Handbook of Applied Optimization. Oxford University Press, Oxford (2002)"},{"key":"244_CR23","doi-asserted-by":"crossref","first-page":"947","DOI":"10.1007\/s00199-004-0578-1","volume":"26","author":"M.K. Richter","year":"2005","unstructured":"Richter M.K., Wong K.-C.: Infinite inequality systems and cardinal revelations. Econom. Theory 26, 947\u2013971 (2005)","journal-title":"Econom. Theory"},{"key":"244_CR24","doi-asserted-by":"crossref","unstructured":"Watson, G.A.: Numerical Experiments with Globally Convergent Methods for Semi-Infinite Programming Problems. Lecture notes in Economics and Mathematical Systems vol. 215, pp. 193\u2013205. Springer, Berlin (1983)","DOI":"10.1007\/978-3-642-46477-5_13"}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-010-0244-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-010-0244-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-010-0244-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,5]],"date-time":"2019-06-05T07:44:23Z","timestamp":1559720663000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-010-0244-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,10,7]]},"references-count":24,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,2]]}},"alternative-id":["244"],"URL":"https:\/\/doi.org\/10.1007\/s11590-010-0244-4","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,10,7]]}}}