{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T13:10:28Z","timestamp":1762521028173},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,1,1]],"date-time":"2006-01-01T00:00:00Z","timestamp":1136073600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2006,1]]},"DOI":"10.1007\/s10898-005-3883-8","type":"journal-article","created":{"date-parts":[[2005,12,20]],"date-time":"2005-12-20T08:27:15Z","timestamp":1135067235000},"page":"1-14","source":"Crossref","is-referenced-by-count":4,"title":["Minimal Ellipsoid Circumscribing a Polytope Defined by a System of Linear Inequalities"],"prefix":"10.1007","volume":"34","author":[{"given":"Jun-Ya","family":"Gotoh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hiroshi","family":"Konno","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"6","key":"3883_CR1","doi-asserted-by":"crossref","first-page":"759","DOI":"10.1147\/rd.266.0759","volume":"26","author":"E.R. Barnes","year":"1982","journal-title":"IBM Journal of Research Development."},{"key":"3883_CR2","doi-asserted-by":"crossref","unstructured":"Ben-Tal, A. and Nemirovski, A. (2001), Lectures on Modern Convex Optimization \u2013Analysis, Algorithms, and Engineering Applications\u2013, SIAM.","DOI":"10.1137\/1.9780898718829"},{"key":"3883_CR3","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1137\/0215052","volume":"15","author":"M.E. Dyer","year":"1986","journal-title":"SIAM Journal of Computing."},{"key":"3883_CR4","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1287\/mnsc.19.1.96","volume":"19","author":"J. Elzinga","year":"1972","journal-title":"Management Science."},{"key":"3883_CR5","unstructured":"Fukuda, K. (1995), cdd\/cdd+ Reference Manual, Institute for Operations Research, Swiss Federal Institute of Technology, Zurich, Switzerland. program available from http:\/\/www.ifor.math.ethz.ch\/fukuda\/fukuda.html"},{"key":"3883_CR6","doi-asserted-by":"crossref","first-page":"550","DOI":"10.1287\/mnsc.15.9.550","volume":"15","author":"J. Falk","year":"1969","journal-title":"Management Sciencel."},{"key":"3883_CR7","unstructured":"G\u00e4rtner, B. and Sch\u00f6nherr, S. (1997), Smallest enclosing ellipses \u2013fast and exact\u2013, Proceedings 13. Annual ACM Symposium on Computational Geometry 430\u2013432."},{"key":"3883_CR8","unstructured":"John F. (1948). Extremum problems with inequalities as subsidiary conditions. In: Studiesf and Essays Presented to R.Courant on His Birthday. Interscience Publishers, NY, pp. 187\u2013204"},{"key":"3883_CR9","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/BF01582144","volume":"61","author":"L. Khachiyan","year":"1993","journal-title":"Mathematical Programming."},{"key":"3883_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-4098-4","volume-title":"Optimization on low rank nonconvex structures","author":"H. Konno","year":"1997"},{"key":"3883_CR11","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1007\/BF01300973","volume":"3","author":"H. Konno","year":"1994","journal-title":"Computational Optimization and Applications."},{"key":"3883_CR12","doi-asserted-by":"crossref","first-page":"422","DOI":"10.15807\/jorsj.42.422","volume":"42","author":"H. Konno","year":"1999","journal-title":"Journal of the Operations Research Society of Japan."},{"key":"3883_CR13","first-page":"233","volume":"89","author":"H. Konno","year":"2001","journal-title":"B"},{"key":"3883_CR14","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/0167-6377(95)00014-B","volume":"17","author":"T.Q. Phong","year":"1995","journal-title":"Operations Research Letters."},{"key":"3883_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational Analysis","author":"R.T. Rockafellar","year":"1998"},{"key":"3883_CR16","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1007\/BF03167575","volume":"10","author":"K. Sekitani","year":"1993","journal-title":"Japan Journal of Industrial and Applied Mathematics."},{"key":"3883_CR17","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/0020-0190(91)90030-L","volume":"37","author":"S. Skyum","year":"1991","journal-title":"Information Processing Letters."},{"key":"3883_CR18","doi-asserted-by":"crossref","first-page":"690","DOI":"10.1287\/opre.1040.0115","volume":"52","author":"P. Sun","year":"2004","journal-title":"Operations Research."},{"key":"3883_CR19","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2809-5","volume-title":"Convex Analysis and Global Optimization","author":"H. Tuy","year":"1998"},{"key":"3883_CR20","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1007\/BFb0038202","volume-title":"New Results and New Trends in Computer Science","author":"E. Welzl","year":"1991"},{"key":"3883_CR21","unstructured":"Zhang Y. (1998),An interior-point algorithm for the maximum-volume Ellipsoid problem, Department of Computational and Applied Mathematics, Rice University, Technical Report TR98-15."},{"issue":"1","key":"3883_CR22","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1137\/S1052623401397230","volume":"14","author":"Y. Zhang","year":"2003","journal-title":"SIAM Journal of Optimization."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-005-3883-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-005-3883-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-005-3883-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T08:12:04Z","timestamp":1559290324000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-005-3883-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["3883"],"URL":"https:\/\/doi.org\/10.1007\/s10898-005-3883-8","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,1]]}}}