{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T12:09:01Z","timestamp":1759838941524,"version":"3.41.0"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2015,5,27]],"date-time":"2015-05-27T00:00:00Z","timestamp":1432684800000},"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":[[2015,12]]},"DOI":"10.1007\/s10898-015-0310-7","type":"journal-article","created":{"date-parts":[[2015,5,26]],"date-time":"2015-05-26T08:43:29Z","timestamp":1432629809000},"page":"709-728","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A new regularized limited memory BFGS-type method based on modified secant conditions for unconstrained optimization problems"],"prefix":"10.1007","volume":"63","author":[{"given":"D. Ataee","family":"Tarzanagh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. Reza","family":"Peyghami","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,5,27]]},"reference":[{"key":"310_CR1","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1023\/A:1019142304382","volume":"22","author":"M Al-Baali","year":"1999","unstructured":"Al-Baali, M.: Improved Hessian approximations for limited memory BFGS method. Numer. Algorithms 22, 99\u2013112 (1999)","journal-title":"Numer. Algorithms"},{"issue":"2","key":"310_CR2","doi-asserted-by":"crossref","first-page":"688","DOI":"10.1007\/s10957-013-0448-8","volume":"161","author":"M Al-Baali","year":"2014","unstructured":"Al-Baali, M., Grandinetti, L., Pisacane, O.: Damped techniques for the limited memory BFGS method for large-scale optimization. J. Optim. Theory Appl. 161(2), 688\u2013699 (2014)","journal-title":"J. Optim. Theory Appl."},{"issue":"1","key":"310_CR3","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."},{"key":"310_CR4","doi-asserted-by":"crossref","first-page":"1374","DOI":"10.1016\/j.cam.2010.01.052","volume":"234","author":"S Babaie-Kafaki","year":"2010","unstructured":"Babaie-Kafaki, S., Ghanbari, R., Mahdavi-Amiri, N.: Two new conjugate gradient methods based on modified secant equations. J. Comput. Appl. Math. 234, 1374\u20131386 (2010)","journal-title":"J. Comput. Appl. Math."},{"key":"310_CR5","doi-asserted-by":"crossref","first-page":"2412","DOI":"10.1016\/j.cam.2010.10.041","volume":"235","author":"F Biglari","year":"2011","unstructured":"Biglari, F., Hassan, M.A., Leong, W.J.: New quasi Newton methods via higher order tensor models. J. Comput. Appl. Math. 235, 2412\u20132422 (2011)","journal-title":"J. Comput. Appl. Math."},{"issue":"3","key":"310_CR6","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1093\/imamat\/12.3.223","volume":"12","author":"CG Broyden","year":"1973","unstructured":"Broyden, C.G., Dennis, J.E., Mor\u00e9, J.J.: On the local and superlinear convergence of quasi-Newton methods. IMA J. Appl. Math. 12(3), 223\u2013245 (1973)","journal-title":"IMA J. Appl. Math."},{"key":"310_CR7","doi-asserted-by":"crossref","first-page":"1190","DOI":"10.1137\/0916069","volume":"16","author":"RH Byrd","year":"1995","unstructured":"Byrd, R.H., Lu, P.H., Nocedal, J., Zhu, C.Y.: A limited memory algorithm for bound constrained optimization. SIAM J. Sci. Comput. 16, 1190\u20131208 (1995)","journal-title":"SIAM J. Sci. Comput."},{"issue":"3","key":"310_CR8","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1137\/0726042","volume":"26","author":"RH Byrd","year":"1989","unstructured":"Byrd, R.H., Nocedal, J.: A tool for the analysis of quasi-Newton methods with application to unconstrained minimization. SIAM J. Numer. Anal. 26(3), 727\u2013739 (1989)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"310_CR9","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/BF01582063","volume":"63","author":"RH Byrd","year":"1994","unstructured":"Byrd, R.H., Nocedal, J., Schnabel, R.B.: Representations of quasi-Newton matrices and their use in limited memory methods. Math. Program. A 63(2), 129\u2013156 (1994)","journal-title":"Math. Program. A"},{"issue":"5","key":"310_CR10","doi-asserted-by":"crossref","first-page":"1171","DOI":"10.1137\/0724077","volume":"24","author":"RH Byrd","year":"1987","unstructured":"Byrd, R.H., Nocedal, J., Yuan, Y.: Global convergence of a class of quasi Newton methods on convex problems. SIAM J. Numer. Anal. 24(5), 1171\u20131190 (1987)","journal-title":"SIAM J. Numer. Anal."},{"key":"310_CR11","doi-asserted-by":"crossref","first-page":"2051","DOI":"10.1137\/S0363012994274823","volume":"34","author":"XJ Chen","year":"1996","unstructured":"Chen, X.J.: Convergence of the BFGS method for LC1 convex constrained optimization. SIAM J. Control Optim. 34, 2051\u20132063 (1996)","journal-title":"SIAM J. Control Optim."},{"issue":"3","key":"310_CR12","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1137\/S1052623401383455","volume":"13","author":"Y Dai","year":"2002","unstructured":"Dai, Y.: Convergence properties of the BFGS algorithm. SIAM J. Optim. 13(3), 693\u2013701 (2002)","journal-title":"SIAM J. Optim."},{"key":"310_CR13","volume-title":"The Handbook of Genetic Algorithms","author":"L Davis","year":"1991","unstructured":"Davis, L.: The Handbook of Genetic Algorithms. Van Nostrand Reingold, New York (1991)"},{"issue":"2","key":"310_CR14","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1007\/BF02592055","volume":"26","author":"R Dembo","year":"1983","unstructured":"Dembo, R., Steihaug, T.: Truncated Newton algorithms for large-scale unconstrained optimization. Math. Program. 26(2), 190\u2013212 (1983)","journal-title":"Math. Program."},{"key":"310_CR15","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1137\/1019005","volume":"19","author":"JE Dennis","year":"1977","unstructured":"Dennis, J.E., Mor\u00e9, J.J.: Quasi-Newton methods, motivation and theory. SIAM Rev. 19, 46\u201389 (1977)","journal-title":"SIAM Rev."},{"issue":"2","key":"310_CR16","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/s101070100263","volume":"91","author":"ED Dolan","year":"2002","unstructured":"Dolan, E.D., Mor\u00e9, J.J.: Benchmarking optimizations of tware with performance profiles. Math. Program. 91(2), 201\u2013203 (2002)","journal-title":"Math. Program."},{"key":"310_CR17","volume-title":"Practical Methods of Optimization. A Wiley-Interscience Publication","author":"R Fletcher","year":"1987","unstructured":"Fletcher, R.: Practical Methods of Optimization. A Wiley-Interscience Publication, 2nd edn. Wiley, Chichester (1987)","edition":"2"},{"issue":"4","key":"310_CR18","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1145\/962437.962439","volume":"29","author":"N Gould","year":"2003","unstructured":"Gould, N., Orban, D., Toint, P.L.: CUTEr, a constrained and unconstrained testing environment, revisited. ACM Trans. Math. Softw. 29(4), 373\u2013394 (2003)","journal-title":"ACM Trans. Math. Softw."},{"issue":"2","key":"310_CR19","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/s10898-008-9318-6","volume":"44","author":"W Cruz La","year":"2009","unstructured":"La Cruz, W., Noguera, G.: Hybrid spectral gradient method for the unconstrained minimization problem. J. Glob. Optim. 44(2), 193\u2013212 (2009)","journal-title":"J. Glob. Optim."},{"key":"310_CR20","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/S0377-0427(00)00540-9","volume":"129","author":"D Li","year":"2001","unstructured":"Li, D., Fukushima, M.: A modified BFGS method and its global convergence in non convex minimization. J. Comput. Appl. Math. 129, 15\u201335 (2001)","journal-title":"J. Comput. Appl. Math."},{"key":"310_CR21","doi-asserted-by":"crossref","unstructured":"Li, B., Ong, Y.S., Le, M.N., Goh, C.K.: Memetic gradient search. In: Evolutionary Computation, IEEE World Congress on Computational Intelligence, pp. 2894\u20132901 (2008)","DOI":"10.1109\/CEC.2008.4631187"},{"issue":"2","key":"310_CR22","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/s11075-013-9706-y","volume":"65","author":"TW Liu","year":"2014","unstructured":"Liu, T.W.: A regularized limited memory BFGS method for nonconvex unconstrained minimization. Numer. Algorithms 65(2), 305\u2013323 (2014)","journal-title":"Numer. Algorithms"},{"issue":"2","key":"310_CR23","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1080\/10556780500474915","volume":"22","author":"TW Liu","year":"2007","unstructured":"Liu, T.W., Li, D.H.: A pratical update criterion for SQP method. Optim. Methods Softw. 22(2), 253\u2013266 (2007)","journal-title":"Optim. Methods Softw."},{"key":"310_CR24","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1007\/BF01589116","volume":"45","author":"DC Liu","year":"1989","unstructured":"Liu, D.C., Nocedal, J.: On the limited memory BFGS method for large scale optimization. Math. Program. 45, 503\u2013528 (1989)","journal-title":"Math. Program."},{"issue":"1","key":"310_CR25","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1007\/s10107-003-0421-7","volume":"99","author":"WF Mascarenhas","year":"2004","unstructured":"Mascarenhas, W.F.: The BFGS method with exact line searches fails for non-convex objective functions. Math. Program. A 99(1), 49\u201361 (2004)","journal-title":"Math. Program. A"},{"issue":"3","key":"310_CR26","doi-asserted-by":"crossref","first-page":"358","DOI":"10.1137\/0801023","volume":"1","author":"SG Nash","year":"1991","unstructured":"Nash, S.G., Nocedal, J.: A numerical study of a limited memory BFGS method and the truncated Newton method for large-scale optimization. SIAM J. Optim. 1(3), 358\u2013372 (1991)","journal-title":"SIAM J. Optim."},{"key":"310_CR27","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1090\/S0025-5718-1980-0572855-7","volume":"35","author":"J Nocedal","year":"1980","unstructured":"Nocedal, J.: Updating quasi-Newton matrices with limited storage. Math. Comput. 35, 773\u2013782 (1980)","journal-title":"Math. Comput."},{"key":"310_CR28","volume-title":"Numerical Optimization. Springer Series in Operations Research","author":"J Nocedal","year":"2006","unstructured":"Nocedal, J., Wright, S.J.: Numerical Optimization. Springer Series in Operations Research, 2nd edn. Springer, Berlin (2006)","edition":"2"},{"key":"310_CR29","doi-asserted-by":"crossref","first-page":"1156","DOI":"10.1016\/j.amc.2005.08.027","volume":"175","author":"Z Wei","year":"2006","unstructured":"Wei, Z., Li, G., Qi, L.: New quasi-Newton methods for unconstrained optimization problems. Appl. Math. Comput. 175, 1156\u20131188 (2006)","journal-title":"Appl. Math. Comput."},{"key":"310_CR30","doi-asserted-by":"crossref","first-page":"1001","DOI":"10.1016\/j.camwa.2008.01.028","volume":"56","author":"Y Xiao","year":"2008","unstructured":"Xiao, Y., Wei, Z., Wang, Z.: A limited memory BFGS-type method for large-scale unconstrained optimization. Comput. Math. Appl. 56, 1001\u20131009 (2008)","journal-title":"Comput. Math. Appl."},{"key":"310_CR31","unstructured":"Xu, C.X., Zhang, J.Z.: Properties and Numerical Performance of Quasi Newton Methods with Modified Quasi-Newton Equations, Technical Report. Department of Mathematics, City University of Hong Kong (1999)"},{"key":"310_CR32","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1023\/A:1021898630001","volume":"102","author":"JZ Zhang","year":"1999","unstructured":"Zhang, J.Z., Deng, N.Y., Chen, L.H.: New quasi-Newton equation and related methods for unconstrained optimization. J. Optim. Theory Appl. 102, 147\u2013167 (1999)","journal-title":"J. Optim. Theory Appl."},{"key":"310_CR33","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1016\/S0377-0427(00)00713-5","volume":"137","author":"JZ Zhang","year":"2001","unstructured":"Zhang, J.Z., Xu, C.X.: Properties and numerical performance of quasi-Newton methods with modified quasi-Newton equations. J. Comput. Appl. Math. 137, 269\u2013278 (2001)","journal-title":"J. Comput. Appl. Math."},{"key":"310_CR34","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1590\/S1807-03022010000200006","volume":"29","author":"W Zhou","year":"2010","unstructured":"Zhou, W., Zhang, L.: Global convergence of a regularized factorized quasi-Newton method for nonlinear least squares problems. Comput. Appl. Math. 29, 195\u2013214 (2010)","journal-title":"Comput. Appl. Math."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-015-0310-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-015-0310-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-015-0310-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,28]],"date-time":"2025-05-28T03:05:15Z","timestamp":1748401515000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-015-0310-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5,27]]},"references-count":34,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2015,12]]}},"alternative-id":["310"],"URL":"https:\/\/doi.org\/10.1007\/s10898-015-0310-7","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"type":"print","value":"0925-5001"},{"type":"electronic","value":"1573-2916"}],"subject":[],"published":{"date-parts":[[2015,5,27]]}}}