{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T07:10:15Z","timestamp":1761894615551},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2007,10,23]],"date-time":"2007-10-23T00:00:00Z","timestamp":1193097600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2007,10,23]],"date-time":"2007-10-23T00:00:00Z","timestamp":1193097600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Optim Appl"],"published-print":{"date-parts":[[2008,9]]},"DOI":"10.1007\/s10589-007-9095-z","type":"journal-article","created":{"date-parts":[[2007,10,22]],"date-time":"2007-10-22T18:11:05Z","timestamp":1193076665000},"page":"1-25","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Dynamic updates of the barrier parameter in primal-dual methods for nonlinear programming"],"prefix":"10.1007","volume":"41","author":[{"given":"Paul","family":"Armand","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jo\u00ebl","family":"Benoist","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dominique","family":"Orban","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2007,10,23]]},"reference":[{"key":"9095_CR1","volume-title":"Constrained Optimization and Lagrange Multiplier Methods","author":"D.P. Bertsekas","year":"1982","unstructured":"Bertsekas, D.P.: Constrained Optimization and Lagrange Multiplier Methods. Academic, London (1982)"},{"key":"9095_CR2","unstructured":"Byrd, R.H., Liu, G., Nocedal, J.: On the local behavior of an interior point method for nonlinear programming. In: Griffiths, D.F., Higham, D.J. (eds.) Numerical Analysis 1997, pp. 37\u201356. Addison Wesley Longman (1997). Proceedings of the Dundee 1997 Conference on Numerical Analysis"},{"key":"9095_CR3","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1007\/s101070100263","volume":"91","author":"E. Dolan","year":"2002","unstructured":"Dolan, E., Mor\u00e9, J.J.: Benchmarking optimization software with performance profiles. Math. Program. Ser. B 91, 201\u2013213 (2002)","journal-title":"Math. Program. Ser. B"},{"key":"9095_CR4","doi-asserted-by":"crossref","unstructured":"Dolan, E.D., Mor\u00e9, J.J., Munson, T.S.: Benchmarking optimization software with COPS\u00a03.0. Technical Report ANL\/MCS-273, Argonne National Laboratory (2004)","DOI":"10.2172\/834714"},{"issue":"1","key":"9095_CR5","doi-asserted-by":"publisher","first-page":"296","DOI":"10.1137\/0732012","volume":"32","author":"J.-P. Dussault","year":"1995","unstructured":"Dussault, J.-P.: Numerical stability and efficiency of penalty algorithms. SIAM J. Numer. Anal. 32(1), 296\u2013317 (1995)","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"9095_CR6","doi-asserted-by":"publisher","first-page":"507","DOI":"10.1007\/BF02275347","volume":"89","author":"A.S. El-Bakry","year":"1996","unstructured":"El-Bakry, A.S., Tapia, R.A., Tsuchiya, T., Zhang, Y.: On the formulation and theory of newton interior point methods for nonlinear programming. J. Optim. Theory Appl. 89(3), 507\u2013541 (1996)","journal-title":"J. Optim. Theory Appl."},{"key":"9095_CR7","volume-title":"Nonlinear Programming: Sequential Unconstrained Minimization Techniques","author":"A.V. Fiacco","year":"1968","unstructured":"Fiacco, A.V., McCormick, G.P.: Nonlinear Programming: Sequential Unconstrained Minimization Techniques. Wiley, Chichester (1968). Reprinted as Classics in Applied Mathematics. SIAM, Philadelphia (1990)"},{"key":"9095_CR8","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1007\/978-1-4613-3335-7_2","volume-title":"Advances in Nonlinear Programming","author":"D.M. Gay","year":"1998","unstructured":"Gay, D.M., Overton, M.L., Wright, M.H.: A primal-dual interior method for nonconvex nonlinear programming. In: Yuan, Y. (ed.) Advances in Nonlinear Programming, pp. 31\u201356. Kluwer Academic, Dordrecht (1998)"},{"issue":"4","key":"9095_CR9","doi-asserted-by":"publisher","first-page":"974","DOI":"10.1137\/S1052623400370515","volume":"11","author":"N.I.M. Gould","year":"2001","unstructured":"Gould, N.I.M., Orban, D., Sartenaer, A., Toint, P.L.: Superlinear convergence of primal-dual interior point algorithms for nonlinear programming. SIAM J. Optim. 11(4), 974\u20131002 (2001)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"9095_CR10","doi-asserted-by":"publisher","first-page":"481","DOI":"10.1007\/s101070100287","volume":"92","author":"N.I.M. Gould","year":"2002","unstructured":"Gould, N.I.M., Orban, D., Sartenaer, A., Toint, P.L.: Componentwise fast convergence in the solution of full-rank systems of nonlinear equation. Math. Program. Ser. B 92(3), 481\u2013508 (2002)","journal-title":"Math. Program. Ser. B"},{"issue":"4","key":"9095_CR11","doi-asserted-by":"publisher","first-page":"373","DOI":"10.1145\/962437.962439","volume":"29","author":"N.I.M. Gould","year":"2003","unstructured":"Gould, N.I.M., Orban, D., Toint, P.L.: \n$\\mathsf{CUTEr}$ \nand \n$\\mathsf{SifDec}$\n, a constrained and unconstrained testing environment, revisited. Trans. ACM Math. Softw. 29(4), 373\u2013394 (2003)","journal-title":"Trans. ACM Math. Softw."},{"key":"9095_CR12","series-title":"Frontiers in Applied Mathematics","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970944","volume-title":"Iterative Methods for Linear and Nonlinear Equations","author":"C.T. Kelley","year":"1995","unstructured":"Kelley, C.T.: Iterative Methods for Linear and Nonlinear Equations. Frontiers in Applied Mathematics, vol.\u00a016. SIAM, Belmont (1995)"},{"issue":"4","key":"9095_CR13","doi-asserted-by":"publisher","first-page":"575","DOI":"10.1137\/0802028","volume":"2","author":"S. Mehrotra","year":"1992","unstructured":"Mehrotra, S.: On the implementation of a primal-dual interior point method. SIAM J. Optim. 2(4), 575\u2013601 (1992)","journal-title":"SIAM J. Optim."},{"key":"9095_CR14","unstructured":"Nocedal, J., W\u00e4chter, A., Waltz, R.A.: Adaptive barrier strategies for nonlinear interior methods. Technical Report, Northwestern University, IL, USA (2005)"},{"issue":"2","key":"9095_CR15","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1023\/A:1008677427361","volume":"13","author":"R.J. Vanderbei","year":"1999","unstructured":"Vanderbei, R.J., Shanno, D.F.: An interior point algorithm for nonconvex nonlinear programming. Comput. Optim. Appl. 13(2), 231\u2013252 (1999)","journal-title":"Comput. Optim. Appl."},{"issue":"3","key":"9095_CR16","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1023\/A:1019798502851","volume":"22","author":"L.N. Vicente","year":"2002","unstructured":"Vicente, L.N., Wright, S.J.: Local convergence of a primal-dual method for degenerate nonlinear programming. Comput. Optim. Appl. 22(3), 311\u2013328 (2002)","journal-title":"Comput. Optim. Appl."},{"issue":"3","key":"9095_CR17","doi-asserted-by":"publisher","first-page":"565","DOI":"10.1007\/PL00011386","volume":"88","author":"A. W\u00e4chter","year":"2000","unstructured":"W\u00e4chter, A., Biegler, L.T.: Failure of global convergence for a class of interior point methods for nonlinear programming. Math. Program. Ser. B 88(3), 565\u2013574 (2000)","journal-title":"Math. Program. Ser. B"},{"issue":"1","key":"9095_CR18","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1007\/s10107-004-0559-y","volume":"106","author":"A. W\u00e4chter","year":"2006","unstructured":"W\u00e4chter, A., Biegler, L.T.: On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. Math. Program. Ser. A 106(1), 25\u201357 (2006)","journal-title":"Math. Program. Ser. A"},{"issue":"3","key":"9095_CR19","first-page":"415","volume":"40","author":"H. Yabe","year":"1997","unstructured":"Yabe, H., Yamashita, H.: Q-superlinear convergence of primal-dual interior point quasi-Newton methods for constrained optimization. J. Oper. Res. Soc. Jpn. 40(3), 415\u2013436 (1997)","journal-title":"J. Oper. Res. Soc. Jpn."},{"issue":"3","key":"9095_CR20","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1007\/BF02592190","volume":"75","author":"H. Yamashita","year":"1996","unstructured":"Yamashita, H., Yabe, H.: Superlinear and quadratic convergence of some primal-dual interior point methods for constrained optimization. Math. Program. Ser. A 75(3), 377\u2013397 (1996)","journal-title":"Math. Program. Ser. A"},{"issue":"1","key":"9095_CR21","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/s10107-004-0508-9","volume":"102","author":"H. Yamashita","year":"2005","unstructured":"Yamashita, H., Yabe, H., Tanabe, T.: A globally and superlinearly convergent primal-dual interior point trust region method for large scale constrained optimization. Math. Program. Ser. A 102(1), 111\u2013151 (2005)","journal-title":"Math. Program. Ser. A"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-007-9095-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10589-007-9095-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-007-9095-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-007-9095-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,15]],"date-time":"2022-05-15T23:43:39Z","timestamp":1652658219000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10589-007-9095-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,10,23]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2008,9]]}},"alternative-id":["9095"],"URL":"https:\/\/doi.org\/10.1007\/s10589-007-9095-z","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"value":"0926-6003","type":"print"},{"value":"1573-2894","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,10,23]]},"assertion":[{"value":"3 May 2006","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 November 2006","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 November 2006","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 October 2007","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}