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The spline smoothing technique uses a smooth cubic spline instead of max function and only few components in the max function are computed; that is, it introduces an active set technique, so it is more efficient for solving large-scale minimax problems arising from the discretization of semi-infinite minimax problems. Numerical tests show that the new method is very efficient.<\/jats:p>","DOI":"10.1155\/2014\/852074","type":"journal-article","created":{"date-parts":[[2014,7,17]],"date-time":"2014-07-17T21:12:51Z","timestamp":1405631571000},"page":"1-7","source":"Crossref","is-referenced-by-count":0,"title":["A Spline Smoothing Newton Method for Semi-Infinite Minimax Problems"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1907-7430","authenticated-orcid":true,"given":"Li","family":"Dong","sequence":"first","affiliation":[{"name":"College of Science, Dalian Nationalities University, Dalian 116600, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China"},{"name":"School of Sciences, Dalian University of Technology, Dalian at Panjin 124221, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu","family":"Xiao","sequence":"additional","affiliation":[{"name":"School of Basic Science, East China Jiaotong University, Nanchang 330013, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"1997","key":"1"},{"issue":"3","key":"2","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1109\/TCS.1976.1084191","volume":"23","year":"1976","journal-title":"IEEE Transactions on Circuits and Systems"},{"year":"1983","series-title":"Lecture Notes in Economics and Mathematical Systems","key":"4"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1137\/1035089"},{"issue":"1-2","key":"6","first-page":"33","volume":"7","year":"1997","journal-title":"Journal of Intelligent Systems"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01585175"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1023\/B:JOTA.0000006684.67437.c3"},{"issue":"2","key":"9","first-page":"42","volume":"2","year":"1998","journal-title":"Organ Transplantation"},{"issue":"1","key":"10","first-page":"1","volume":"21","year":"1999","journal-title":"Mathematics Numerical Sinica"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1137\/0330023"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.05.009"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1080.0362"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-012-4502-z"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1023\/B:JOTA.0000006685.60019.3e"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-008-9355-9"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2011.06.023"},{"key":"19"},{"key":"18"},{"year":"1999","series-title":"Springer Series in Operations Research","key":"20"},{"year":"2010","key":"21"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/852074.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/852074.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/852074.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,12]],"date-time":"2020-05-12T02:40:35Z","timestamp":1589251235000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/852074\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":20,"alternative-id":["852074","852074"],"URL":"https:\/\/doi.org\/10.1155\/2014\/852074","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}