{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T12:43:57Z","timestamp":1742993037366,"version":"3.40.3"},"publisher-location":"Boston, MA","reference-count":15,"publisher":"Springer US","isbn-type":[{"type":"print","value":"9780387747583"},{"type":"electronic","value":"9780387747590"}],"license":[{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2008,1,1]],"date-time":"2008-01-01T00:00:00Z","timestamp":1199145600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-0-387-74759-0_597","type":"book-chapter","created":{"date-parts":[[2008,8,25]],"date-time":"2008-08-25T11:08:03Z","timestamp":1219662483000},"page":"3476-3479","source":"Crossref","is-referenced-by-count":0,"title":["Sequential Quadratic Programming: Interior Point Methods for Distributed Optimal Control Problems"],"prefix":"10.1007","author":[{"given":"Matthias","family":"Heinkenschloss","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"597_CR1_597","series-title":"Internat. Ser. Numer. Math.","first-page":"15","volume-title":"Optimal Control of Partial Differential Equations","author":"A. Battermann","year":"1998","unstructured":"Battermann A, Heinkenschloss M (1998) Preconditioners for Karush\u2013Kuhn\u2013Tucker systems arising in the optimal control of distributed systems. In: Desch W, Kappel F, Kunisch K (eds) Optimal Control of Partial Differential Equations. Internat Ser Num Math. Birkh\u00e4user, Basel, pp 15\u201332"},{"key":"597_CR2_597","unstructured":"Bergounioux M, Haddou M, Hinterm\u00fcller M, Kunisch K (1998) A\u00a0comparison of interior-point methods and a\u00a0Moreau\u2013Yosida based active set strategy for constrained optimal control problems. Techn. Report Inst. Math. Karl-Franzens-Univ. Graz"},{"key":"597_CR3_597","doi-asserted-by":"publisher","first-page":"1750","DOI":"10.1137\/S036012995279031","volume":"36","author":"J.E. Dennis","year":"1998","unstructured":"Dennis JE, Heinkenschloss M, Vicente LN (1998) Trust-region interior-point algorithms for a\u00a0class of nonlinear programming problems. SIAM J Control Optim 36:1750\u20131794","journal-title":"SIAM J. Control Optim."},{"key":"597_CR4_597","doi-asserted-by":"publisher","first-page":"1001","DOI":"10.1137\/S0363012994262361","volume":"34","author":"M.D. Gunzburger","year":"1996","unstructured":"Gunzburger MD, Hou LS (1996) Finite dimensional approximation of a\u00a0class of constrained nonlinear optimal control problems. SIAM J Control Optim 34:1001\u20131043","journal-title":"SIAM J. Control Optim."},{"key":"597_CR5_597","first-page":"595","volume":"5","author":"J. Herskovits","year":"1996","unstructured":"Herskovits J, Laporte E, Le Tallec P, Santos G (1996) A\u00a0quasi-Newton interior-point algorithm applied to constrained optimum design in computational fluid dynamics. Europ J Finite Elements 5:595\u2013617","journal-title":"Europ. J. Finite Elements"},{"key":"597_CR6_597","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1007\/BF01300870","volume":"4","author":"S. Ito","year":"1995","unstructured":"Ito S, Kelley CT, Sachs EW (1995) Inexact primal-dual interior-point iteration for linear programs in function spaces. Comput Optim Appl, 4:189\u2013201","journal-title":"Comput. Optim. Appl."},{"key":"597_CR7_597","doi-asserted-by":"publisher","first-page":"272","DOI":"10.1137\/S0363012996298795","volume":"38","author":"F. Leibfritz","year":"2000","unstructured":"Leibfritz F, Sachs EW (2000) Inexact SQP interior-point methods and large-scale control problems. SIAM J Control Optim 38:272\u2013293","journal-title":"SIAM J. Control Optim."},{"key":"597_CR8_597","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-65024-6","volume-title":"Optimal control of systems governed by partial differential equations","author":"J.L. Lions","year":"1971","unstructured":"Lions JL (1971) Optimal control of systems governed by partial differential equations. Springer, Berlin"},{"key":"597_CR9_597","doi-asserted-by":"publisher","first-page":"214","DOI":"10.1007\/s001580050104","volume":"19","author":"B. Maar","year":"2000","unstructured":"Maar B, Schulz V (2000) Interior-point multigrid methods for topology optimization. Structural Optim 19:214\u2013224","journal-title":"Structural Optim."},{"key":"597_CR10_597","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1023\/A:1008725519350","volume":"16","author":"H.D. Mittelmann","year":"2000","unstructured":"Mittelmann HD, Maurer H (2000) Interior-point methods for solving elliptic control problems with control and state constraints: boundary and distributed control. Comput Optim Appl 16:29\u201355","journal-title":"Comput. Optim. Appl."},{"key":"597_CR11_597","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1023\/A:1008774521095","volume":"18","author":"H.D. Mittelmann","year":"2001","unstructured":"Mittelmann HD, Maurer H (2001) Interior-point methods for solving elliptic control problems with control and state constraints. Part 2: Distributed Control. Comput Optim Appl 18:141\u2013160","journal-title":"Comput. Optim. Appl."},{"key":"597_CR12_597","volume-title":"Optimal control of nonlinear parabolic systems. Theory, algorithms, and applications","author":"P. Neittaanm\u00e4ki","year":"1994","unstructured":"Neittaanm\u00e4ki P, Tiba D (1994) Optimal control of nonlinear parabolic systems. Theory, algorithms, and applications. M. Dekker, New York"},{"key":"597_CR13_597","doi-asserted-by":"publisher","first-page":"1938","DOI":"10.1137\/S0363012997325915","volume":"38","author":"M. Ulbrich","year":"2000","unstructured":"Ulbrich M, Ulbrich S (2000) Superlinear convergence of affine-scaling interior-point Newton methods for infinite-dimensional nonlinear problems with pointwise bounds. SIAM J Control Optim 38:1938\u20131984","journal-title":"SIAM J. Control Optim."},{"key":"597_CR14_597","doi-asserted-by":"publisher","first-page":"731","DOI":"10.1137\/S0363012997319541","volume":"37","author":"M. Ulbrich","year":"1999","unstructured":"Ulbrich M, Ulbrich S, Heinkenschloss M (1999) Global convergence of affine-scaling interior-point Newton methods for infinite-dimensional nonlinear problems with pointwise bounds. SIAM J Control Optim 37:731\u2013764","journal-title":"SIAM J. Control Optim."},{"key":"597_CR15_597","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1080\/10556789808805679","volume":"8","author":"L.N. Vicente","year":"1998","unstructured":"Vicente LN (1998) On interior-point Newton algorithms for discretized optimal control problems with state constraints. Optim Methods Softw 8:249\u2013275","journal-title":"Optim. Methods and Software"}],"container-title":["Encyclopedia of Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-0-387-74759-0_597","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,11]],"date-time":"2024-07-11T10:38:14Z","timestamp":1720694294000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-0-387-74759-0_597"}},"subtitle":["SQPIP"],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9780387747583","9780387747590"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-0-387-74759-0_597","relation":{},"subject":[],"published":{"date-parts":[[2008]]}}}