{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T22:16:20Z","timestamp":1742940980703,"version":"3.40.3"},"publisher-location":"Boston, MA","reference-count":20,"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_671","type":"book-chapter","created":{"date-parts":[[2008,8,25]],"date-time":"2008-08-25T11:08:03Z","timestamp":1219662483000},"page":"3839-3846","source":"Crossref","is-referenced-by-count":0,"title":["Successive Quadratic Programming"],"prefix":"10.1007","author":[{"given":"Angelo","family":"Lucia","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"671_CR1_671","unstructured":"Betts JT (1995) The application of optimization techniques to aerospace systems. In: Biegler LT, Doherty MF (eds) Foundations of Computer Aided Process Design, AIChE Sym Ser. vol\u00a0304-91, pp 169\u2013177"},{"key":"671_CR2_671","unstructured":"Biggs MC (1972) Constrained minimization using recursive equality quadratic programming. In: Lootsma FA (ed) Numerical Methods in Nonlinear Optimization, Acad. Press, New York, pp 411\u2013428"},{"key":"671_CR3_671","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1016\/0024-3795(80)90172-X","volume":"34","author":"J.R. Bunch","year":"1980","unstructured":"Bunch JR, Kaufman L (1980) A\u00a0computational method for indefinite quadratic programming problems. Linear Alg Its Appl 34:341\u2013370","journal-title":"Linear Alg. Its Appl."},{"key":"671_CR4_671","doi-asserted-by":"crossref","unstructured":"Celis MR, Dennis JE, Tapia RA (1984) A\u00a0trust region strategy for nonlinear equality constrained optimization. In: Boggs PT, Byrd RH, Schnabel RB (eds) Numerical Optimization, pp 71\u201382","DOI":"10.21236\/ADA454933"},{"key":"671_CR5_671","doi-asserted-by":"publisher","first-page":"378","DOI":"10.1007\/BF01582123","volume":"16","author":"R.M. Chamberlain","year":"1979","unstructured":"Chamberlain RM (1979) Some examples of cycling in variable metric methods for constrained minimization. Math Program 16:378\u2013383","journal-title":"Math. Program."},{"key":"671_CR6_671","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BFb0120945","volume":"16","author":"R.M. Chamberlain","year":"1982","unstructured":"Chamberlain RM, Lemarechal C, Pedersen HC, Powell MJD (1982) The watchdog technique for forcing convergence in algorithms for constrained optimization. Math Program Stud 16:1\u201317","journal-title":"Math. Program. Stud."},{"key":"671_CR7_671","doi-asserted-by":"publisher","first-page":"927","DOI":"10.1137\/S1052623494276026","volume":"7","author":"J.E. Dennis","year":"1997","unstructured":"Dennis JE, Vincente LN (1997) On the convergence theory of trust region-based algorithms for equality constrained optimization. SIAM J Optim 7:927\u2013950","journal-title":"SIAM J. Optim."},{"key":"671_CR8_671","doi-asserted-by":"crossref","unstructured":"Gill PE, Murray W, Ponceleon DB, Saunders MA (1991) Solving reduced KKT systems in barrier methods for linear and quadratic programming. SOL Report Dept Oper Res Stanford Univ 91-7","DOI":"10.21236\/ADA239191"},{"key":"671_CR9_671","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/BF01588795","volume":"49","author":"D. Goldfarb","year":"1991","unstructured":"Goldfarb D, Liu S (1991) An $$ O(n^3 L) $$ primal interior point algorithm for convex quadratic programming. Math Program 49:325\u2013340","journal-title":"Math. Program."},{"key":"671_CR10_671","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1007\/BF01580395","volume":"11","author":"S.P. Han","year":"1976","unstructured":"Han SP (1976) Superlinearly convergent variable metric algorithms for general nonlinear programming problems. Math Program 11:263\u2013282","journal-title":"Math. Program."},{"key":"671_CR11_671","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1016\/0098-1354(90)87072-W","volume":"14","author":"A. Lucia","year":"1990","unstructured":"Lucia A, Xu J (1990) Chemical process optimization using Newton-like methods. Comput Chem Eng 14:119\u2013138","journal-title":"Computers Chem. Engin."},{"key":"671_CR12_671","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1007\/BF02023172","volume":"42","author":"A. Lucia","year":"1993","unstructured":"Lucia A, Xu J, D'Couto GC (1993) Sparse quadratic programming in chemical process optimization. Ann Oper Res 42:55\u201383","journal-title":"Ann. Oper. Res."},{"key":"671_CR13_671","unstructured":"Murray W (1969) An algorithm for constrained minimisation. In: Fletcher R (ed) Optimization, Acad. Press, New York, pp 247\u2013258"},{"key":"671_CR14_671","doi-asserted-by":"publisher","first-page":"453","DOI":"10.1007\/BF00940348","volume":"60","author":"R.H. Nickel","year":"1989","unstructured":"Nickel RH, Tolle JW (1989) A\u00a0sparse sequential quadratic programming algorithm. J\u00a0Optim Th Appl 60:453\u2013473","journal-title":"J. Optim. Th. Appl."},{"key":"671_CR15_671","doi-asserted-by":"publisher","first-page":"821","DOI":"10.1137\/0722050","volume":"22","author":"J. Nocedal","year":"1985","unstructured":"Nocedal J, Overton ML (1985) Projected Hessian updating algorithms for nonlinearly constrained optimization. SIAM J Numer Anal 22:821\u2013850","journal-title":"SIAM J. Numer. Anal."},{"key":"671_CR16_671","first-page":"144","volume-title":"Numerical Analysis, Dundee 1977, Lecture Notes Math","author":"MJD Powell","year":"1978","unstructured":"Powell MJD (1978) A\u00a0fast algorithm for nonlinearly constrained optimization calculations. In: Watson G (ed) Numerical Analysis, Dundee 1977, Lecture Notes Math. Springer, Berlin, pp 144\u2013157"},{"key":"671_CR17_671","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1007\/BF01395810","volume":"38","author":"K. Schittkowski","year":"1981","unstructured":"Schittkowski K (1981) The nonlinear programming method of Wilson, Han, and Powell with an augmented Lagrangian type line search function, Part 1: Convergence analysis. Numer Math 38:83\u2013114","journal-title":"Numer. Math."},{"key":"671_CR18_671","doi-asserted-by":"publisher","first-page":"575","DOI":"10.1137\/0722035","volume":"22","author":"A. Vardi","year":"1985","unstructured":"Vardi A (1985) A\u00a0trust region algorithm for equality constrained minimization: convergence properties and implementation. SIAM J Numer Anal 22:575\u2013591","journal-title":"SIAM J. Numer. Anal."},{"key":"671_CR19_671","unstructured":"Wilson RB (1963) A\u00a0simplicial method for concave programming. PhD Diss Harvard Univ, Cambridge, MA"},{"key":"671_CR20_671","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1007\/978-1-4613-9617-8_3","volume-title":"Progress in Mathematical Programming","author":"Y.Y. Ye","year":"1989","unstructured":"Ye YY (1989) An extension of Karmarkar's algorithm and the trust region method for quadratic programming. In: Megiddo N (ed) Progress in Mathematical Programming. Springer, Berlin, pp 49\u201364"}],"container-title":["Encyclopedia of Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-0-387-74759-0_671","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,11]],"date-time":"2024-07-11T10:48:11Z","timestamp":1720694891000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-0-387-74759-0_671"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9780387747583","9780387747590"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-0-387-74759-0_671","relation":{},"subject":[],"published":{"date-parts":[[2008]]}}}