{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T17:15:05Z","timestamp":1763399705707,"version":"3.37.3"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2017,9,1]],"date-time":"2017-09-01T00:00:00Z","timestamp":1504224000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100002886","name":"China National Petroleum Corporation","doi-asserted-by":"publisher","award":["2014B-1709"],"award-info":[{"award-number":["2014B-1709"]}],"id":[{"id":"10.13039\/501100002886","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Optim Appl"],"published-print":{"date-parts":[[2018,1]]},"DOI":"10.1007\/s10589-017-9941-6","type":"journal-article","created":{"date-parts":[[2017,9,1]],"date-time":"2017-09-01T19:14:04Z","timestamp":1504293244000},"page":"77-97","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["An accelerated nonmonotone trust region method with adaptive trust region for unconstrained optimization"],"prefix":"10.1007","volume":"69","author":[{"given":"Jianjun","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiangmin","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuehui","family":"Cui","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,9,1]]},"reference":[{"issue":"1\u20132","key":"9941_CR1","doi-asserted-by":"publisher","first-page":"529","DOI":"10.1007\/s12190-015-0883-9","volume":"50","author":"M Ahookhosh","year":"2016","unstructured":"Ahookhosh, M., Ghaderi, S.: Two globally convergent nonmonotone trust-region methods for unconstrained optimization. J. Appl. Math. Comput. 50(1\u20132), 529\u2013555 (2016)","journal-title":"J. Appl. Math. Comput."},{"issue":"1","key":"9941_CR2","first-page":"147","volume":"10","author":"N Andrei","year":"2008","unstructured":"Andrei, N.: An unconstrained optimization test functions collection. Adv. Model. Optim. 10(1), 147\u2013161 (2008)","journal-title":"Adv. Model. Optim."},{"issue":"3","key":"9941_CR3","doi-asserted-by":"publisher","first-page":"795","DOI":"10.1007\/s10589-012-9460-4","volume":"53","author":"Z Cui","year":"2012","unstructured":"Cui, Z., Wu, B.: A new modified nonmonotone adaptive trust region method for unconstrained optimization. Comput. Optim. Appl. 53(3), 795\u2013806 (2012)","journal-title":"Comput. Optim. Appl."},{"issue":"2","key":"9941_CR4","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1007\/BF00939608","volume":"76","author":"N Deng","year":"1993","unstructured":"Deng, N., Xiao, Y., Zhou, F.: Nonmonotonic trust region algorithm. J. Optim. Theory Appl. 76(2), 259\u2013285 (1993)","journal-title":"J. Optim. Theory Appl."},{"issue":"2","key":"9941_CR5","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1007\/s101070100263","volume":"91","author":"ED Dolan","year":"2002","unstructured":"Dolan, E.D., Mor\u00e9, J.J.: Benchmarking optimization software with performance profiles. Math. Progr. 91(2), 201\u2013213 (2002)","journal-title":"Math. Progr."},{"issue":"1","key":"9941_CR6","first-page":"489","volume":"163","author":"J Fu","year":"2005","unstructured":"Fu, J., Sun, W.: Nonmonotone adaptive trust-region method for unconstrained optimization problems. Appl. Math. Comput. 163(1), 489\u2013504 (2005)","journal-title":"Appl. Math. Comput."},{"issue":"3","key":"9941_CR7","doi-asserted-by":"publisher","first-page":"545","DOI":"10.1007\/s10589-014-9687-3","volume":"60","author":"N Gould","year":"2015","unstructured":"Gould, N., Orban, D., Toint, P.L.: CUTEst: a constrained and unconstrained testing environment with safe threads for mathematical optimization. Comput. Optim. Appl. 60(3), 545\u2013557 (2015)","journal-title":"Comput. Optim. Appl."},{"issue":"4","key":"9941_CR8","doi-asserted-by":"publisher","first-page":"707","DOI":"10.1137\/0723046","volume":"23","author":"L Grippo","year":"1986","unstructured":"Grippo, L., Lampariello, F., Lucidi, S.: A nonmonotone line search technique for Newton\u2019s method. SIAM J. Numer. Anal. 23(4), 707\u2013716 (1986)","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"9941_CR9","doi-asserted-by":"publisher","first-page":"1282","DOI":"10.1016\/j.na.2011.07.062","volume":"75","author":"M G\u00fcrb\u00fczbalaban","year":"2012","unstructured":"G\u00fcrb\u00fczbalaban, M., Overton, M.L.: On Nesterovs nonsmooth Chebyshev\u2013Rosenbrock functions. Nonlinear Anal. Theory Methods Appl. 75(3), 1282\u20131289 (2012)","journal-title":"Nonlinear Anal. Theory Methods Appl."},{"issue":"7","key":"9941_CR10","doi-asserted-by":"publisher","first-page":"900","DOI":"10.1016\/j.apnum.2011.03.002","volume":"61","author":"Y Ou","year":"2011","unstructured":"Ou, Y.: A hybrid trust region algorithm for unconstrained optimization. Appl. Numer. Math. 61(7), 900\u2013909 (2011)","journal-title":"Appl. Numer. Math."},{"key":"9941_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10589-014-9708-2","volume":"61","author":"MR Peyghami","year":"2015","unstructured":"Peyghami, M.R., Tarzanagh, D.A.: A relaxed nonmonotone adaptive trust region method for solving unconstrained optimization problems. Comput. Optim. Appl. 61, 1\u201321 (2015)","journal-title":"Comput. Optim. Appl."},{"key":"9941_CR12","first-page":"87","volume":"7","author":"MJ Powell","year":"1970","unstructured":"Powell, M.J.: A hybrid method for nonlinear equations. Numer. Methods Nonlinear Algebraic Equ. 7, 87\u2013114 (1970)","journal-title":"Numer. Methods Nonlinear Algebraic Equ."},{"key":"9941_CR13","unstructured":"Powell, M.J.: Nonlinear Programming. In: Rosen J.B., Mangasarian O. L., Ritter K. (eds.) Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin\u2013Madison, 4\u20136 May, 1970"},{"issue":"1","key":"9941_CR14","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1016\/j.ejor.2010.09.007","volume":"208","author":"Z Shi","year":"2011","unstructured":"Shi, Z., Wang, S.: Nonmonotone adaptive trust region method. Eur. J. Oper. Res. 208(1), 28\u201336 (2011)","journal-title":"Eur. J. Oper. Res."},{"issue":"2","key":"9941_CR15","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1016\/j.cam.2007.01.027","volume":"213","author":"ZJ Shi","year":"2008","unstructured":"Shi, Z.J., Guo, J.H.: A new trust region method for unconstrained optimization. J. Comput. Appl. Math. 213(2), 509\u2013520 (2008)","journal-title":"J. Comput. Appl. Math."},{"issue":"1","key":"9941_CR16","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/j.amc.2003.07.008","volume":"156","author":"W Sun","year":"2004","unstructured":"Sun, W.: Nonmonotone trust region method for solving optimization problems. Appl. Math. Comput. 156(1), 159\u2013174 (2004)","journal-title":"Appl. Math. Comput."},{"key":"9941_CR17","volume-title":"Optimization Theory and Methods: Nonlinear Programming","author":"W Sun","year":"2006","unstructured":"Sun, W., Yuan, Y.X.: Optimization Theory and Methods: Nonlinear Programming, vol. 1. Springer, Berlin (2006)"},{"issue":"4","key":"9941_CR18","doi-asserted-by":"publisher","first-page":"819","DOI":"10.1080\/10556788.2013.855761","volume":"29","author":"DA Tarzanagh","year":"2014","unstructured":"Tarzanagh, D.A., Peyghami, M.R., Mesgarani, H.: A new nonmonotone trust region method for unconstrained optimization equipped by an efficient adaptive radius. Optim. Methods Softw. 29(4), 819\u2013836 (2014)","journal-title":"Optim. Methods Softw."},{"issue":"3","key":"9941_CR19","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1007\/BF02614518","volume":"77","author":"PL Toint","year":"1997","unstructured":"Toint, P.L.: Non-monotone trust-region algorithms for nonlinear optimization subject to convex constraints. Math. Progr. 77(3), 69\u201394 (1997)","journal-title":"Math. Progr."},{"key":"9941_CR20","volume-title":"Ger\u0161gorin and his Circles","author":"RS Varga","year":"2010","unstructured":"Varga, R.S.: Ger\u0161gorin and his Circles, vol. 36. Springer, Berlin (2010)"},{"issue":"8","key":"9941_CR21","first-page":"4274","volume":"217","author":"QJ Wu","year":"2010","unstructured":"Wu, Q.J.: Nonmonotone trust region algorithm for unconstrained optimization problems. Appl. Math. Comput. 217(8), 4274\u20134281 (2010)","journal-title":"Appl. Math. Comput."},{"key":"9941_CR22","first-page":"333","volume":"16","author":"YX Yuan","year":"1994","unstructured":"Yuan, Y.X.: On the convergence of trust region algorithms. Mathe. Numer. Sin. 16, 333\u2013346 (1994)","journal-title":"Mathe. Numer. Sin."},{"key":"9941_CR23","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1093\/oso\/9780198505143.003.0023","volume":"99","author":"YX Yuan","year":"2000","unstructured":"Yuan, Y.X.: A review of trust region algorithms for optimization. ICIAM 99, 271\u2013282 (2000)","journal-title":"ICIAM"},{"issue":"10","key":"9941_CR24","doi-asserted-by":"publisher","first-page":"1469","DOI":"10.1016\/S0898-1221(03)00130-5","volume":"45","author":"JL Zhang","year":"2003","unstructured":"Zhang, J.L., Zhang, X.S.: A nonmonotone adaptive trust region method and its convergence. Comput. Math. Appl. 45(10), 1469\u20131477 (2003)","journal-title":"Comput. Math. Appl."},{"issue":"5","key":"9941_CR25","doi-asserted-by":"crossref","first-page":"620","DOI":"10.1360\/02ys9067","volume":"45","author":"X Zhang","year":"2002","unstructured":"Zhang, X., Zhang, J., Liao, L.: An adaptive trust region method and its convergence. Sci. China Ser. A Math. 45(5), 620\u2013631 (2002)","journal-title":"Sci. China Ser. A Math."}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10589-017-9941-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-017-9941-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-017-9941-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,26]],"date-time":"2024-06-26T17:17:02Z","timestamp":1719422222000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10589-017-9941-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,9,1]]},"references-count":25,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,1]]}},"alternative-id":["9941"],"URL":"https:\/\/doi.org\/10.1007\/s10589-017-9941-6","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"type":"print","value":"0926-6003"},{"type":"electronic","value":"1573-2894"}],"subject":[],"published":{"date-parts":[[2017,9,1]]},"assertion":[{"value":"5 September 2015","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2017","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}