{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:34:40Z","timestamp":1787333680962,"version":"build-2736575974"},"reference-count":21,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Optim."],"published-print":{"date-parts":[[1998,5]]},"abstract":"<jats:p>In this paper, an unconstrained convex programming dual approach for solving a class of linear semi-infinite programming problems is proposed. Both primal and dual convergence results are established under some basic assumptions. Numerical examples are also included to illustrate this approach.<\/jats:p>","DOI":"10.1137\/s105262349427621x","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"443-456","source":"Crossref","is-referenced-by-count":13,"title":["An Unconstrained Convex Programming Approach to Linear Semi-Infinite Programming"],"prefix":"10.1137","volume":"8","author":[{"given":"Chih-Jen","family":"Lin","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shu-Cherng","family":"Fang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Soon-Yi","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,31]]},"reference":[{"key":"R1","unstructured":"M. Avriel,\n                      Nonlinear Programming : Analysis and Methods\n                      , Prentice Hall, NJ, 1976."},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1137\/0801014"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/0803012"},{"key":"R4","doi-asserted-by":"crossref","unstructured":"J.Borwein, A.Lewis, A survey of convergence results for maximum entropy methods, Fund. Theories Phys., Vol. 53, Kluwer Acad. Publ., Dordrecht, 1993, 39\u20134895a:49027","DOI":"10.1007\/978-94-017-2217-9_5"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1080\/02331939508844053"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1007\/BF02591681"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01582053"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971200"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1137\/0312039"},{"key":"R10","unstructured":"S.\u2010C. Fang and S. Puthenpura,\n                      Linear Optimization and Extensions: Theory and Algorithms\n                      , Prentice Hall, NJ, 1993."},{"key":"R11","first-page":"171","volume":"37","author":"Fang S.","year":"1993","journal-title":"Z. Oper. Res."},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1007\/BF02192539"},{"key":"R13","doi-asserted-by":"publisher","DOI":"10.1080\/02331939408843923"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1007\/BF01582293"},{"key":"R15","doi-asserted-by":"crossref","unstructured":"K. Glashoff and S. \u00c5. Gustafson,\n                      Linear Optimization and Approximation\n                      , Springer\u2013Verlag, NY, 1982.","DOI":"10.1007\/978-1-4612-1142-6"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1137\/0707026"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1137\/1035089"},{"key":"R18","doi-asserted-by":"crossref","unstructured":"ChihLin, ShuFang, SoonWu, A dual affine scaling based algorithm for solving linear semi\u2010infinite programming problems, Nonconvex Optim. Appl., Vol. 1, Kluwer Acad. Publ., Dordrecht, 1994, 217\u201323496c:90130","DOI":"10.1007\/978-1-4613-3629-7_11"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1007\/BF02165588"},{"key":"R20","unstructured":"R. T. Rockfaller,\n                      Convex Analysis\n                      , Princeton University Press, Princeton, NJ, 1970."},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1145\/279232.279236"}],"container-title":["SIAM Journal on Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S105262349427621X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T17:17:43Z","timestamp":1787332663000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S105262349427621X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,5]]},"references-count":21,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1998,5]]}},"alternative-id":["10.1137\/S105262349427621X"],"URL":"https:\/\/doi.org\/10.1137\/s105262349427621x","relation":{},"ISSN":["1052-6234","1095-7189"],"issn-type":[{"value":"1052-6234","type":"print"},{"value":"1095-7189","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,5]]}}}