{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T17:16:18Z","timestamp":1761844578676},"reference-count":38,"publisher":"EDP Sciences","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["RAIRO-Oper. Res."],"published-print":{"date-parts":[[2017,4]]},"DOI":"10.1051\/ro\/2016020","type":"journal-article","created":{"date-parts":[[2016,2,23]],"date-time":"2016-02-23T03:05:56Z","timestamp":1456196756000},"page":"299-328","source":"Crossref","is-referenced-by-count":4,"title":["Primal-dual entropy-based interior-point algorithms for linear optimization"],"prefix":"10.1051","volume":"51","author":[{"given":"Mehdi","family":"Karimi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shen","family":"Luo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Levent","family":"Tun\u00e7el","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"250","published-online":{"date-parts":[[2017,2,8]]},"reference":[{"key":"R1","first-page":"400","volume":"16","author":"Ai","year":"2005"},{"key":"R2","first-page":"101","volume":"15","author":"Bai","year":"2004"},{"key":"R3","first-page":"710158","volume":"2014","author":"Cai","year":"2014"},{"key":"R4","doi-asserted-by":"crossref","unstructured":"C.I. Chang, Y. Du, J. Wang, S.M. Guo and P.D. Thouin, Survey and comparative analysis of entropy and relative entropy thresholding techniques. In Vol. 153 of IEE Proceedings Vision, Image and Signal Processing. IET (2006) 837\u2013850.","DOI":"10.1049\/ip-vis:20050032"},{"key":"R5","unstructured":"T.M. Cover and J.A. Thomas, Elements of information theory. John Wiley & Sons (2012)."},{"key":"R6","first-page":"15","volume":"47","author":"Darvay","year":"2003"},{"key":"R7","first-page":"173","volume":"2","author":"Decarreau","year":"1992"},{"key":"R8","doi-asserted-by":"crossref","unstructured":"T. Downarowicz, Entropy in dynamical systems. Cambridge University Press (2011)","DOI":"10.1017\/CBO9780511976155"},{"key":"R9","first-page":"1164","volume":"39","author":"Dusaussoy","year":"1991"},{"key":"R10","doi-asserted-by":"crossref","unstructured":"M. Dyer, A class of convex programs with applications to computational geometry. In Proc. of the Eighth Annual Symposium on Computational Geometry. ACM (1992) 9\u201315.","DOI":"10.1145\/142675.142681"},{"key":"R11","doi-asserted-by":"crossref","unstructured":"H. Edelsbrunner, Algorithms in Computational Geometry. Springer New York (1987).","DOI":"10.1007\/978-3-642-61568-9"},{"key":"R12","first-page":"149","volume":"11","author":"Erlander","year":"1977"},{"key":"R13","first-page":"137","volume":"21","author":"Erlander","year":"1981"},{"key":"R14","doi-asserted-by":"crossref","unstructured":"S. Fang, J.R. Rajasekera and H.J. Tsao, Vol. 8 of Entropy Optimization and Mathematical Programming. Springer (1997).","DOI":"10.1007\/978-1-4615-6131-6"},{"key":"R15","first-page":"527","volume":"106","author":"Freund","year":"2006"},{"key":"R16","first-page":"373","volume":"4","author":"Karmarkar","year":"1984"},{"key":"R17","first-page":"1279","volume":"16","author":"Lee","year":"2013"},{"key":"R18","unstructured":"X.S. Li, Entropy and optimization. Ph.D. thesis, University of Liverpool, UK (1987)."},{"key":"R19","unstructured":"S. Luo, Interior-Point Algorithms Based on Primal-Dual Entropy. Master\u2019s thesis, University of Waterloo, Canada (2006)."},{"key":"R20","doi-asserted-by":"crossref","unstructured":"N. Megiddo, Linear-time algorithms for linear programming in R3and related problems. In Foundations of Computer Science. SFCS\u201908. 23rd Annual Symposium on. IEEE (1982) 329\u2013338.","DOI":"10.1109\/SFCS.1982.24"},{"key":"R21","first-page":"964","volume":"18","author":"Mizuno","year":"1993"},{"key":"R22","first-page":"191","volume":"15","author":"Monteiro","year":"1990"},{"key":"R23","first-page":"311","volume":"19","author":"Nadeu","year":"1990"},{"key":"R24","unstructured":"J.L. Nazareth, A reformulation of the central path equations and its algorithmic implications. Department of Pure and Applied Math., Washington State Univ. (1994)."},{"key":"R25","first-page":"147","volume":"21","author":"Nazareth","year":"1997"},{"key":"R26","first-page":"2079","volume":"156","author":"Nesterov","year":"2008"},{"key":"R27","unstructured":"NETLIB. Available at http:\/\/www.netlib.org\/lp\/data\/."},{"key":"R28","first-page":"644","volume":"314","author":"Pan","year":"2006"},{"key":"R29","unstructured":"P\u0131nar M.\u00c7. and Zenios S.A., An entropic approximation of \u21131penalty function. Trans. Oper. Res. (1995) 101\u2013120."},{"key":"R30","first-page":"114","volume":"19","author":"Potra","year":"2008"},{"key":"R31","first-page":"409","volume":"41","author":"Pynchon","year":"2004"},{"key":"R32","first-page":"3","volume":"5","author":"Shannon","year":"2001"},{"key":"R33","first-page":"1105","volume":"17","author":"Sturm","year":"2002"},{"key":"R34","first-page":"139","volume":"4","author":"Tun\u00e7el","year":"1995"},{"key":"R35","first-page":"5","volume":"8","author":"Tun\u00e7el","year":"1997"},{"key":"R36","first-page":"239","volume":"50","author":"Ye","year":"1991"},{"key":"R37","first-page":"53","volume":"19","author":"Ye","year":"1994"},{"key":"R38","first-page":"23","volume":"38","author":"Zhang","year":"2003"}],"container-title":["RAIRO - Operations Research"],"original-title":[],"link":[{"URL":"http:\/\/www.rairo-ro.org\/10.1051\/ro\/2016020\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,4]],"date-time":"2019-09-04T18:03:28Z","timestamp":1567620208000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.rairo-ro.org\/10.1051\/ro\/2016020"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,8]]},"references-count":38,"journal-issue":{"issue":"2"},"alternative-id":["ro160020-s"],"URL":"https:\/\/doi.org\/10.1051\/ro\/2016020","relation":{},"ISSN":["0399-0559","1290-3868"],"issn-type":[{"value":"0399-0559","type":"print"},{"value":"1290-3868","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,2,8]]}}}