{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,3]],"date-time":"2025-12-03T17:41:52Z","timestamp":1764783712215},"reference-count":27,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2015,2,27]],"date-time":"2015-02-27T00:00:00Z","timestamp":1424995200000},"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":["Optim Lett"],"published-print":{"date-parts":[[2015,10]]},"DOI":"10.1007\/s11590-015-0863-x","type":"journal-article","created":{"date-parts":[[2015,2,26]],"date-time":"2015-02-26T14:11:48Z","timestamp":1424959908000},"page":"1271-1282","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["A combined SQP\u2013IPM algorithm for solving large-scale nonlinear optimization problems"],"prefix":"10.1007","volume":"9","author":[{"given":"Bj\u00f6rn","family":"Sachsenberg","sequence":"first","affiliation":[]},{"given":"Klaus","family":"Schittkowski","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,2,27]]},"reference":[{"key":"863_CR1","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898719604","volume-title":"LAPACK Users\u2019 Guide","author":"E Anderson","year":"1999","unstructured":"Anderson, E., Bai, Z., Bischof, C., Blackford, S., Demmel, J., Dongarra, J., Du Croz, J., Greenbaum, A., Hammarling, S., McKenney, A., Sorensen, D.: LAPACK Users\u2019 Guide. Society for industrial and applied mathematics, Philadelphia (1999)"},{"key":"863_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/S0962492900002518","volume":"4","author":"PT Boggs","year":"1995","unstructured":"Boggs, P.T., Tolle, J.W.: Sequential quadratic programming. Acta Numer. 4, 1\u201351 (1995)","journal-title":"Acta Numer."},{"key":"863_CR3","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/PL00011391","volume":"89","author":"RH Byrd","year":"2000","unstructured":"Byrd, R.H., Gilbert, J.C., Nocedal, J.: A trust region method based on interior point techniques for nonlinear programming. Math. Progr. 89, 149\u2013185 (2000)","journal-title":"Math. Progr."},{"key":"863_CR4","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/s10589-007-9035-y","volume":"38","author":"S Cafieri","year":"2007","unstructured":"Cafieri, S., D\u2019Apuzzo, M., De Simone, V., di Serafino, D.: On the iterative solution of KKT systems in potential reduction software for large scale quadratic problems. Comput. Optim. Appl. 38, 27\u201345 (2007)","journal-title":"Comput. Optim. Appl."},{"key":"863_CR5","first-page":"1","volume":"10","author":"L Chen","year":"2009","unstructured":"Chen, L., Goldfarb, D.: An interior-point piecewise linear penalty method for nonlinear programming. Math. Progr. 10, 1\u201350 (2009)","journal-title":"Math. Progr."},{"key":"863_CR6","first-page":"335","volume":"28","author":"FE Curtis","year":"2008","unstructured":"Curtis, F.E., Nocedal, J.: Flexible penalty functions for nonlinear constrained optimization. J. Numer. Anal. 28, 335\u2013351 (2008)","journal-title":"J. Numer. Anal."},{"issue":"2","key":"863_CR7","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/s10589-008-9226-1","volume":"45","author":"M D\u2019Apuzzo","year":"2010","unstructured":"D\u2019Apuzzo, M., De Simone, V., di Serafino, D.: On mutual impact of numerical linear algebra and large-scale optimization with focus on interior point methods. Comput. Optim. Appl. 45(2), 283\u2013310 (2010)","journal-title":"Comput. Optim. Appl."},{"key":"863_CR8","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. Progr. 45, 503\u2013528 (1989)","journal-title":"Math. Progr."},{"key":"863_CR9","volume-title":"Practical methods of optimization","author":"R Fletcher","year":"1987","unstructured":"Fletcher, R.: Practical methods of optimization. Wiley, Chichester (1987)"},{"key":"863_CR10","volume-title":"Practical optimization","author":"PE Gill","year":"1982","unstructured":"Gill, P.E., Murray, W., Wright, M.: Practical optimization. Academic Press, London (1982)"},{"key":"863_CR11","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1016\/j.ejor.2011.09.017","volume":"218","author":"J Gondzio","year":"2012","unstructured":"Gondzio, J.: Interior point methods 25 years later. Eur. J. Oper. Res. 218, 587\u2013601 (2012)","journal-title":"Eur. J. Oper. Res."},{"key":"863_CR12","doi-asserted-by":"crossref","unstructured":"Gould, N.I.M., Toint, Ph.L.: SQP methods for large-scale nonlinear programming. In: Proceedings of the 19th IFIP TC7 Conference on System Modelling and Optimization: Methods, Theory and Applications, pp 149\u2013178 (1999)","DOI":"10.1007\/978-0-387-35514-6_7"},{"key":"863_CR13","unstructured":"Gould, N.I.M., Orban, D., Toint, Ph.L.: General CUTEr documentation, CERFACS Technical Report TR\/PA\/02\/13 (2005)"},{"key":"863_CR14","first-page":"12","volume":"3","author":"I Griva","year":"2008","unstructured":"Griva, I., Shanno, D.F., Vanderbei, R.J., Benson, H.Y.: Global convergence of a primal-dual interior-point method for nonlinear programming. Algorithmic Oper. Res. 3, 12\u201319 (2008)","journal-title":"Algorithmic Oper. Res."},{"key":"863_CR15","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1007\/BF02242139","volume":"30","author":"W Hock","year":"1983","unstructured":"Hock, W., Schittkowski, K.: A comparative performance evaluation of 27 nonlinear programming codes. Computing 30, 335\u2013358 (1983)","journal-title":"Computing"},{"key":"863_CR16","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1023\/A:1008725519350","volume":"16","author":"H Maurer","year":"2000","unstructured":"Maurer, H., Mittelmann, H.D.: Optimization techniques for solving elliptic control problems with control and state constraints, part 1: boundary control. Comput. Optim. Appl. 16, 29\u201355 (2000)","journal-title":"Comput. Optim. Appl."},{"key":"863_CR17","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1023\/A:1008774521095","volume":"18","author":"H Maurer","year":"2001","unstructured":"Maurer, H., Mittelmann, H.D.: Optimization techniques for solving elliptic control problems with control and state constraints, part 2: distributed control. Comput. Optim. Appl. 18, 141\u2013160 (2001)","journal-title":"Comput. Optim. Appl."},{"key":"863_CR18","doi-asserted-by":"crossref","first-page":"1674","DOI":"10.1137\/060649513","volume":"19","author":"J Nocedal","year":"2009","unstructured":"Nocedal, J., W\u00e4chter, A., Waltz, R.A.: Adaptive barrier strategies for nonlinear interior methods. SIAM J. Optim. 19, 1674\u20131693 (2009)","journal-title":"SIAM J. Optim."},{"key":"863_CR19","unstructured":"Sachsenberg, B., Schittkowski, K.: NLPIP: a Fortran implementation of an SQP interior point method for solving large-scale nonlinear optimization problems\u2014user\u2019s guide. Department of Computer Science, University of Bayreuth, Report (2014)"},{"key":"863_CR20","first-page":"158","volume":"23","author":"O Schenk","year":"2006","unstructured":"Schenk, O., G\u00e4rtner, K.: On fast factorizing pivoting methods for symmetric indefinite systems. Electron. Trans. Numer. Anal. 23, 158\u2013179 (2006)","journal-title":"Electron. Trans. Numer. Anal."},{"key":"863_CR21","first-page":"197","volume":"14","author":"K Schittkowski","year":"1983","unstructured":"Schittkowski, K.: On the convergence of a sequential quadratic programming method with an augmented Lagrangian search direction. Optimization 14, 197\u2013216 (1983)","journal-title":"Optimization"},{"key":"863_CR22","doi-asserted-by":"crossref","unstructured":"Schittkowski, K.: NLPQL: a Fortran subroutine solving constrained nonlinear rogramming problems. Annals of Operations Research 5, 485\u2013500 (1986)","DOI":"10.1007\/BF02739235"},{"key":"863_CR23","unstructured":"Schittkowski, K.: More test examples for nonlinear programming, lecture notes in economics and mathematical systems, vol. 182. Springer"},{"key":"863_CR24","unstructured":"Schittkowski, K.: NLPQLP: a Fortran implementation of a sequential quadratic programming algorithm with distributed and non-monotone line Search\u2014user\u2019s guide, version 3.0, Report, Department of Computer Science, University of Bayreuth (2009)"},{"key":"863_CR25","volume-title":"Optimization theory and methods: nonlinear programming","author":"WY Sun","year":"2006","unstructured":"Sun, W.Y., Yuan, Y.: Optimization theory and methods: nonlinear programming. Springer, New York (2006)"},{"key":"863_CR26","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1080\/10556789908805759","volume":"11","author":"RJ Vanderbei","year":"1999","unstructured":"Vanderbei, R.J.: LOQO: An interior point code for quadratic programming. Optim. Methods Softw. 11, 451\u2013484 (1999)","journal-title":"Optim. Methods Softw."},{"key":"863_CR27","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1007\/s10107-004-0560-5","volume":"107","author":"RA Waltz","year":"2006","unstructured":"Waltz, R.A., Morales, J.L., Nocedal, J., Orban, D.: An interior algorithm for nonlinear optimization that combines line search and trust region steps. Math. Program. 107, 391\u2013408 (2006)","journal-title":"Math. Program."}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-015-0863-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-015-0863-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-015-0863-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,21]],"date-time":"2019-08-21T08:56:32Z","timestamp":1566377792000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-015-0863-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,27]]},"references-count":27,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2015,10]]}},"alternative-id":["863"],"URL":"https:\/\/doi.org\/10.1007\/s11590-015-0863-x","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2,27]]}}}