{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,18]],"date-time":"2026-02-18T00:03:25Z","timestamp":1771373005637,"version":"3.50.1"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,4,26]],"date-time":"2012-04-26T00:00:00Z","timestamp":1335398400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2012,11]]},"DOI":"10.1007\/s10957-012-0060-3","type":"journal-article","created":{"date-parts":[[2012,4,25]],"date-time":"2012-04-25T11:50:05Z","timestamp":1335354605000},"page":"628-636","source":"Crossref","is-referenced-by-count":15,"title":["An Adaptive Univariate Global Optimization Algorithm and Its Convergence Rate for Twice Continuously Differentiable Functions"],"prefix":"10.1007","volume":"155","author":[{"given":"James M.","family":"Calvin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yvonne","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antanas","family":"\u017dilinskas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,4,26]]},"reference":[{"key":"60_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-0015-5","volume-title":"Introduction to Global Optimization","author":"R. Horst","year":"2000","unstructured":"Horst, R., Pardalos, P., Thoai, N.: Introduction to Global Optimization. Kluwer Academic, Dordrecht (2000)"},{"key":"60_CR2","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/978-0-387-36721-7_2","volume-title":"Models and Algorithms for Global Optimization","author":"C. Floudas","year":"2007","unstructured":"Floudas, C., Kreinovich, V.: Towards optimal techniques for solving global optimization problems: symmetry based approach. In: T\u00f6rn, A., \u017dilinskas, J. (eds.) Models and Algorithms for Global Optimization, pp. 21\u201342. Springer, Berlin (2007)"},{"key":"60_CR3","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1090\/fic\/055\/06","volume-title":"Lectures on Global Optimization","author":"C. Floudas","year":"2009","unstructured":"Floudas, C., Gounaris, C.: An overview of advances in global optimization during 2003\u20132008. In: Pardalos, P., Coleman, T. (eds.) Lectures on Global Optimization, pp. 105\u2013154. Am. Math. Soc., Providence (2009)"},{"key":"60_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0103934","volume-title":"Average-Case Analysis of Numerical Problems","author":"K. Ritter","year":"2000","unstructured":"Ritter, K.: Average-Case Analysis of Numerical Problems. Springer, Berlin (2000)"},{"key":"60_CR5","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1115\/1.3653121","volume":"86","author":"H. Kushner","year":"1964","unstructured":"Kushner, H.: A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise. J. Basic Eng. 86, 97\u2013106 (1964)","journal-title":"J. Basic Eng."},{"key":"60_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/3-540-50871-6_1","volume-title":"Global Optimization","author":"A. T\u00f6rn","year":"1989","unstructured":"T\u00f6rn, A., \u017dilinskas, A.: In: Global Optimization. Lecture Notes in Computer Science, vol. 350, pp.\u00a01\u2013255 (1989)"},{"key":"60_CR7","volume-title":"Bayesian Heuristic Approach to Discrete and Global Optimization","author":"J. Mockus","year":"1996","unstructured":"Mockus, J., Eddy, W., Reklaitis, G.: Bayesian Heuristic Approach to Discrete and Global Optimization. Kluwer Academic, Dordrecht (1996)"},{"key":"60_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-4677-1","volume-title":"Global Optimization with Non-convex Constraints","author":"R. Strongin","year":"2000","unstructured":"Strongin, R., Sergeyev, Y.: Global Optimization with Non-convex Constraints. Kluwer Academic, Dordrecht (2000)"},{"key":"60_CR9","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1023\/A:1008294716304","volume":"10","author":"M. Locatelli","year":"1997","unstructured":"Locatelli, M.: Bayesian algorithm for one-dimensional global optimization. J. Glob. Optim. 10, 57\u201376 (1997)","journal-title":"J. Glob. Optim."},{"key":"60_CR10","first-page":"367","volume":"23","author":"A. \u017dilinskas","year":"1978","unstructured":"\u017dilinskas, A.: Optimization of one-dimensional multimodal functions, Algorithm\u00a0133. J. R. Stat. Soc., Ser. C, Appl. Stat. 23, 367\u2013385 (1978)","journal-title":"J. R. Stat. Soc., Ser. C, Appl. Stat."},{"key":"60_CR11","first-page":"555","volume":"29","author":"J.M. Calvin","year":"2000","unstructured":"Calvin, J.M., Z\u0306ilinskas, A.: On the choice of statistical model for one-dimensional P-algorithms. Control Cybern. 29, 555\u2013565 (2000)","journal-title":"Control Cybern."},{"key":"60_CR12","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1023\/A:1004699313526","volume":"106","author":"J.M. Calvin","year":"2000","unstructured":"Calvin, J.M., Z\u0306ilinskas, A.: A one-dimensional P-algorithm with convergence rate O(n \u22123+\u03b4 ) for smooth functions. J. Optim. Theory Appl. 106, 297\u2013307 (2000)","journal-title":"J. Optim. Theory Appl."},{"issue":"2","key":"60_CR13","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/s11590-008-0110-9","volume":"3","author":"D. Kvasov","year":"2009","unstructured":"Kvasov, D., Sergeyev, Y.: A univariate global search working with a set of Lipschitz constants for the first derivative. Optim. Lett. 3(2), 303\u2013318 (2009)","journal-title":"Optim. Lett."},{"issue":"1","key":"60_CR14","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1023\/A:1021926320198","volume":"42","author":"D. Lera","year":"2002","unstructured":"Lera, D., Sergeyev, Y.: Global minimization algorithm with H\u00f6lder functions. BIT Numer. Math. 42(1), 119\u2013133 (2002)","journal-title":"BIT Numer. Math."},{"issue":"1","key":"60_CR15","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1007\/s10898-009-9508-x","volume":"48","author":"D. Lera","year":"2010","unstructured":"Lera, D., Sergeyev, Y.: An information global minimization algorithm using the local improvement technique. J. Glob. Optim. 48(1), 99\u2013112 (2010)","journal-title":"J. Glob. Optim."},{"key":"60_CR16","unstructured":"Bull, A.: Convergence rates of efficient global optimization algorithms. Technical report, Statistical Laboratory, University of Cambridge (2011). arxiv:1101.3501"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0060-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-012-0060-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0060-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T05:55:15Z","timestamp":1559454915000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-012-0060-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,4,26]]},"references-count":16,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,11]]}},"alternative-id":["60"],"URL":"https:\/\/doi.org\/10.1007\/s10957-012-0060-3","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,4,26]]}}}