{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T15:46:24Z","timestamp":1761579984404,"version":"3.41.2"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2001,10,1]],"date-time":"2001-10-01T00:00:00Z","timestamp":1001894400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2001,10,1]],"date-time":"2001-10-01T00:00:00Z","timestamp":1001894400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Optimization and Applications"],"published-print":{"date-parts":[[2001,10]]},"DOI":"10.1023\/a:1011219422283","type":"journal-article","created":{"date-parts":[[2002,12,23]],"date-time":"2002-12-23T04:18:21Z","timestamp":1040617101000},"page":"43-60","source":"Crossref","is-referenced-by-count":51,"title":["Maximization of the Ratio of Two Convex Quadratic Functions over a Polytope"],"prefix":"10.1007","volume":"20","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":"7","key":"353474_CR1","doi-asserted-by":"crossref","first-page":"492","DOI":"10.1287\/mnsc.13.7.492","volume":"13","author":"W. Dinkelbach","year":"1967","unstructured":"W. Dinkelbach, \u201cOn nonlinear fractional programming,\u201d Management Science, vol. 13, no. 7, pp. 492\u2013498, 1967.","journal-title":"Management Science"},{"key":"353474_CR2","doi-asserted-by":"crossref","first-page":"550","DOI":"10.1287\/mnsc.15.9.550","volume":"15","author":"J.E. Falk","year":"1969","unstructured":"J.E. Falk and R.M. Soland, \u201cAn algorithm for separable nonconvex programming problems,\u201d Management Science, vol. 15, pp. 550\u2013569, 1969.","journal-title":"Management Science"},{"key":"353474_CR3","volume-title":"The Theory of Matrices","author":"F.R. Gantmacher","year":"1959","unstructured":"F.R. Gantmacher, The Theory of Matrices, Chelsea: New York, 1959."},{"key":"353474_CR4","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1007\/BF02591871","volume":"26","author":"T. Ibaraki","year":"1983","unstructured":"T. Ibaraki, \u201cParametric approaches to fractional programs,\u201d Mathematical Programming, vol. 26, pp. 345\u2013362, 1983.","journal-title":"Mathematical Programming"},{"key":"353474_CR5","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","unstructured":"H. Konno, P.T. Thach, and H. Tuy, Optimization on Low Rank Nonconvex Structures, Kluwer Academic Publishers: Dordrecht, The Netherlands, 1997."},{"key":"353474_CR6","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1080\/10556789808805716","volume":"10","author":"H. Konno","year":"1998","unstructured":"H. Konno, T. Suzuki, and D. Kobayashi, \u201cA branch and bound algorithm for solving mean-risk-skewness portfolio models,\u201d Optimization Methods and Software, vol. 10, pp. 297\u2013317, 1998.","journal-title":"Optimization Methods and Software"},{"issue":"4","key":"353474_CR7","doi-asserted-by":"crossref","first-page":"422","DOI":"10.15807\/jorsj.42.422","volume":"42","author":"H. Konno","year":"1999","unstructured":"H. Konno and A. Wijayanayake, \u201cMean-absolute deviation portfolio optimization model under transaction costs,\u201d Journal of the Operations Research Society of Japan, vol. 42, no. 4, pp. 422\u2013435, 1999.","journal-title":"Journal of the Operations Research Society of Japan"},{"key":"353474_CR8","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1017\/S1365100597002046","volume":"1","author":"A. Lo","year":"1997","unstructured":"A. Lo and C. MacKinlay, \u201cMaximizing predictability in the stock and bond markets,\u201d Macroeconomic Dynamics, vol. 1, pp. 102\u2013134, 1997.","journal-title":"Macroeconomic Dynamics"},{"key":"353474_CR9","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/BF00119990","volume":"1","author":"P.M. Pardalos","year":"1991","unstructured":"P.M. Pardalos and A.T. Phillips, \u201cGlobal optimization of fractional programs,\u201d Journal of Global Optimization, vol. 1, pp. 173\u2013182, 1991.","journal-title":"Journal of Global Optimization"},{"key":"353474_CR10","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/0167-6377(95)00014-B","volume":"17","author":"T.Q. Phong","year":"1995","unstructured":"T.Q. Phong, L.T.H. An, and P.D. Tao, \u201cDecomposition branch and bound method for globally solving linearly constrained indefinite quadratic minimization problems,\u201d Operations Research Letters, vol. 17, pp. 215\u2013220, 1995.","journal-title":"Operations Research Letters"},{"issue":"8","key":"353474_CR11","doi-asserted-by":"crossref","first-page":"868","DOI":"10.1287\/mnsc.22.8.868","volume":"22","author":"S. Schaible","year":"1976","unstructured":"S. Schaible, \u201cFractional programming II, On Dinkelbach's algorithm,\u201d Management Science, vol. 22, no. 8, pp. 868\u2013873, 1976.","journal-title":"Management Science"},{"key":"353474_CR12","volume-title":"Handbook of Global Optimization","author":"S. Schaible","year":"1995","unstructured":"S. Schaible, \u201cFractional programming,\u201d in Handbook of Global Optimization, R. Horst and P. Pardalos (Eds.), Kluwer Academic Publishers: Dordrecht, The Netherlands, 1995."},{"key":"353474_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2809-5","volume-title":"Convex Analysis and Global Optimization","author":"H. Tuy","year":"1998","unstructured":"H. Tuy, Convex Analysis and Global Optimization, Kluwer Academic Publishers: Dordrecht, The Netherlands, 1998."}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1011219422283.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1011219422283\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1011219422283.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,13]],"date-time":"2025-07-13T03:20:35Z","timestamp":1752376835000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1011219422283"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,10]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2001,10]]}},"alternative-id":["353474"],"URL":"https:\/\/doi.org\/10.1023\/a:1011219422283","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"type":"print","value":"0926-6003"},{"type":"electronic","value":"1573-2894"}],"subject":[],"published":{"date-parts":[[2001,10]]}}}