{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,2]],"date-time":"2024-04-02T12:55:47Z","timestamp":1712062547379},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2015,2,12]],"date-time":"2015-02-12T00:00:00Z","timestamp":1423699200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2015,10]]},"DOI":"10.1007\/s10898-015-0278-3","type":"journal-article","created":{"date-parts":[[2015,2,11]],"date-time":"2015-02-11T09:07:51Z","timestamp":1423645671000},"page":"319-342","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Separable cubic modeling and a trust-region strategy for unconstrained minimization with impact in global optimization"],"prefix":"10.1007","volume":"63","author":[{"given":"J. M.","family":"Mart\u00ednez","sequence":"first","affiliation":[]},{"given":"M.","family":"Raydan","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,2,12]]},"reference":[{"key":"278_CR1","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1007\/s10589-013-9626-8","volume":"58","author":"HY Benson","year":"2014","unstructured":"Benson, H.Y., Shanno, D.F.: Interior-point methods for nonconvex nonlinear programming: cubic regularization. Comput. Optim. Appl. 58, 323\u2013346 (2014)","journal-title":"Comput. Optim. Appl."},{"key":"278_CR2","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1007\/s10589-014-9672-x","volume":"60","author":"T Bianconcini","year":"2015","unstructured":"Bianconcini, T., Liuzzi, G., Morini, B., Sciandrone, M.: On the use of iterative methods in cubic regularization for unconstrained optimization. Comput. Optim. Appl. 60, 35\u201357 (2015)","journal-title":"Comput. Optim. Appl."},{"key":"278_CR3","doi-asserted-by":"crossref","first-page":"1196","DOI":"10.1137\/S1052623497330963","volume":"10","author":"EG Birgin","year":"2000","unstructured":"Birgin, E.G., Mart\u00ednez, J.M., Raydan, M.: Nonmonotone spectral projected gradient methods on convex sets. SIAM J. Optim. 10, 1196\u20131211 (2000)","journal-title":"SIAM J. Optim."},{"key":"278_CR4","doi-asserted-by":"crossref","first-page":"3652","DOI":"10.1007\/978-0-387-74759-0_629","volume-title":"Encyclopedia of Optimization","author":"EG Birgin","year":"2009","unstructured":"Birgin, E.G., Mart\u00ednez, J.M., Raydan, M.: Spectral projected gradient methods. In: Floudas, C.A., Pardalos, P.M. (eds.) Encyclopedia of Optimization, vol. Chapter 19, 2nd edn, pp. 3652\u20133659. Springer, Berlin (2009)","edition":"2"},{"key":"278_CR5","doi-asserted-by":"crossref","unstructured":"Birgin, E.G., Mart\u00ednez, J.M., Raydan, M.: Spectral Projected Gradient methods: Review and Perspectives. J. Stat. Softw. 60(3) (2014)","DOI":"10.18637\/jss.v060.i03"},{"key":"278_CR6","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/s10107-009-0286-5","volume":"127","author":"C Cartis","year":"2011","unstructured":"Cartis, C., Gould, N.I.M., Toint, PhL: Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results. Math. Program. Ser. A 127, 245\u2013295 (2011)","journal-title":"Math. Program. Ser. A"},{"key":"278_CR7","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/s10107-009-0337-y","volume":"130","author":"C Cartis","year":"2011","unstructured":"Cartis, C., Gould, N.I.M., Toint, PhL: Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity. Math. Program. Ser. A 130, 295\u2013319 (2011)","journal-title":"Math. Program. Ser. A"},{"key":"278_CR8","doi-asserted-by":"crossref","first-page":"1553","DOI":"10.1137\/120869687","volume":"23","author":"C Cartis","year":"2013","unstructured":"Cartis, C., Gould, N.I.M., Toint, PhL: On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization. SIAM J. Opt. 23, 1553\u20131574 (2013)","journal-title":"SIAM J. Opt."},{"key":"278_CR9","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1080\/00207169708804601","volume":"65","author":"G Corradi","year":"1997","unstructured":"Corradi, G.: A trust region algorithm for unconstrained optimization. Int. J. Comput. Math. 65, 109\u2013119 (1997)","journal-title":"Int. J. Comput. Math."},{"key":"278_CR10","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898719857","volume-title":"Trust-Region Methods","author":"AR Conn","year":"2000","unstructured":"Conn, A.R., Gould, N.I.M., Toint, PhL: Trust-Region Methods. SIAM, Philadelphia (2000)"},{"key":"278_CR11","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611971200","volume-title":"Numerical Methods for Unconstrained Optimization and Nonlinear Equations","author":"JE Dennis Jr","year":"1996","unstructured":"Dennis Jr, J.E., Schnabel, R.B.: Numerical Methods for Unconstrained Optimization and Nonlinear Equations. SIAM, Philadelphia (1996). Revised edition"},{"key":"278_CR12","volume-title":"Practical Methods of Optimization","author":"R Fletcher","year":"1987","unstructured":"Fletcher, R.: Practical Methods of Optimization, 2nd edn. Wiley, New York (1987)","edition":"2"},{"key":"278_CR13","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1137\/0902016","volume":"2","author":"DM Gay","year":"1981","unstructured":"Gay, D.M.: Computing optimal locally constrained steps. SIAM J. Sci. Stat. Comput. 2, 186\u2013197 (1981)","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"278_CR14","unstructured":"Griewank, A.: The modification of Newtons method for unconstrained optimization by bounding cubic terms, Technical Report NA\/12. Department of Applied Mathematics and Theoretical Physics, University of Cambridge (1981)"},{"key":"278_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10589-011-9446-7","volume":"53","author":"NIM Gould","year":"2012","unstructured":"Gould, N.I.M., Porcelli, M., Toint, PhL: Updating the regularization parameter in the adaptive cubic regularization algorithm. Comput. Optim. Appl. 53, 1\u201322 (2012)","journal-title":"Comput. Optim. Appl."},{"key":"278_CR16","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1145\/146847.146857","volume":"18","author":"RJ Hanson","year":"1992","unstructured":"Hanson, R.J., Krogh, F.T.: A quadratic-tensor model algorithm for nonlinear least-squares problems with linear constraints. ACM Trans. Math. Softw. 18, 115\u2013133 (1992)","journal-title":"ACM Trans. Math. Softw."},{"key":"278_CR17","doi-asserted-by":"crossref","unstructured":"Karas, E.W., Santos, S.A., Svaiter, B.F.: Algebraic rules for quadratic regularization of Newton\u2019s method. Comput. Optim. Appl. (2014). doi: 10.1007\/s10589-014-9671-y","DOI":"10.1007\/s10589-014-9671-y"},{"key":"278_CR18","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970920","volume-title":"Iterative Methods for Optimization","author":"CT Kelley","year":"1999","unstructured":"Kelley, C.T.: Iterative Methods for Optimization. SIAM, Philadelphia (1999)"},{"key":"278_CR19","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1007\/s10589-010-9363-1","volume":"51","author":"S Lu","year":"2012","unstructured":"Lu, S., Wei, Z., Li, L.: A trust region algorithm with adaptive cubic regularization methods for nonsmooth convex minimization. Comput. Optim. Appl. 51, 551\u2013573 (2012)","journal-title":"Comput. Optim. Appl."},{"key":"278_CR20","volume-title":"M\u00e9todos Computacionais de Otimiza\u00e7\u00e3o","author":"JM Mart\u00ednez","year":"1995","unstructured":"Mart\u00ednez, J.M., Santos, S.A.: M\u00e9todos Computacionais de Otimiza\u00e7\u00e3o. Editorial IMPA, Rio de Janeiro, Brazil (1995)"},{"key":"278_CR21","doi-asserted-by":"crossref","first-page":"2157","DOI":"10.1002\/jcc.21224","volume":"30","author":"L Mart\u00ednez","year":"2009","unstructured":"Mart\u00ednez, L., Andrade, R., Birgin, E.G., Mart\u00ednez, J.M.: Packmol: a package for building initial configurations for molecular dynamics simulations. J. Comput. Chem. 30, 2157\u20132164 (2009)","journal-title":"J. Comput. Chem."},{"key":"278_CR22","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1137\/0904038","volume":"4","author":"JJ Mor\u00e9","year":"1983","unstructured":"Mor\u00e9, J.J., Sorensen, D.C.: Computing a trust region step. SIAM J. Sci. Stat. Comput. 4, 553\u2013572 (1983)","journal-title":"SIAM J. Sci. Stat. Comput."},{"issue":"1","key":"278_CR23","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/s10107-006-0706-8","volume":"108","author":"Y Nesterov","year":"2006","unstructured":"Nesterov, Y., Polyak, B.T.: Cubic regularization of Newton\u2019s method and its global performance. Math. Program. 108(1), 177\u2013205 (2006)","journal-title":"Math. Program."},{"key":"278_CR24","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1007\/s10107-006-0089-x","volume":"112","author":"Y Nesterov","year":"2008","unstructured":"Nesterov, Y.: Accelerating the cubic regularization of Newton\u2019s method on convex problems. Math. Program. Ser. B 112, 159\u2013181 (2008)","journal-title":"Math. Program. Ser. B"},{"key":"278_CR25","volume-title":"Numerical Optimization","author":"J Nocedal","year":"2006","unstructured":"Nocedal, J., Wright, S.J.: Numerical Optimization, 2nd edn. Springer, New York (2006)","edition":"2"},{"key":"278_CR26","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1137\/0801020","volume":"1","author":"RB Schnabel","year":"1991","unstructured":"Schnabel, R.B., Chow, T.-T.: Tensor methods for unconstrained optimization using second derivatives. SIAM J. Opt. 1, 293\u2013315 (1991)","journal-title":"SIAM J. Opt."},{"key":"278_CR27","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1137\/0721054","volume":"21","author":"RB Schnabel","year":"1984","unstructured":"Schnabel, R.B., Frank, P.: Tensor methods for nonlinear equations. SIAM J. Numer. Anal. 21, 815\u2013843 (1984)","journal-title":"SIAM J. Numer. Anal."},{"key":"278_CR28","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1007\/s00211-006-0021-6","volume":"104","author":"Z-H Wang","year":"2006","unstructured":"Wang, Z.-H., Yuan, Y.-X.: A subspace implementation of quasi-Newton trust region methods for unconstrained optimization. Numer. Math. 104, 241\u2013269 (2006)","journal-title":"Numer. Math."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-015-0278-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-015-0278-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-015-0278-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T04:59:08Z","timestamp":1559278748000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-015-0278-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,12]]},"references-count":28,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,10]]}},"alternative-id":["278"],"URL":"https:\/\/doi.org\/10.1007\/s10898-015-0278-3","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2,12]]}}}