{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T14:07:24Z","timestamp":1774620444807,"version":"3.50.1"},"reference-count":31,"publisher":"Informa UK Limited","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Optimization Methods and Software"],"published-print":{"date-parts":[[2011,2]]},"DOI":"10.1080\/10556780903225880","type":"journal-article","created":{"date-parts":[[2009,9,25]],"date-time":"2009-09-25T08:41:05Z","timestamp":1253868065000},"page":"47-66","source":"Crossref","is-referenced-by-count":15,"title":["An active-set algorithm for nonlinear programming using parametric linear programming"],"prefix":"10.1080","volume":"26","author":[{"given":"Richard H.","family":"Byrd","sequence":"first","affiliation":[{"name":"University of Colorado","place":["USA"]}]},{"given":"Richard A.","family":"Waltz","sequence":"additional","affiliation":[{"name":"University of Southern California","place":["USA"]}]}],"member":"301","published-online":{"date-parts":[[2009,9,24]]},"reference":[{"key":"e_1_3_2_2_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492900002518"},{"key":"e_1_3_2_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/200979.201043"},{"issue":"1","key":"e_1_3_2_4_1","first-page":"27","article-title":"An algorithm for nonlinear optimization using linear programming and equality constrained subproblems","volume":"100","author":"Byrd R. H.","year":"2004","unstructured":"Byrd , R. H. , Gould , N. I.M. , Nocedal , J. and Waltz , R. A. 2004 . An algorithm for nonlinear optimization using linear programming and equality constrained subproblems . Math. Program. Ser. B , 100 ( 1 ) : 27 \u2013 48 .","journal-title":"Math. Program. Ser. B"},{"key":"e_1_3_2_5_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623403426532"},{"key":"e_1_3_2_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/0-387-30065-1_4"},{"key":"e_1_3_2_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-003-0378-6"},{"key":"e_1_3_2_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12211-2"},{"key":"e_1_3_2_9_1","doi-asserted-by":"publisher","DOI":"10.1080\/10556789508805606"},{"key":"e_1_3_2_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/s101070100263"},{"key":"e_1_3_2_11_1","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1287\/ijoc.6.2.207","article-title":"CONOPT \u2013 a large scale GRG code","volume":"6","author":"Drud A.","year":"2004","unstructured":"Drud , A. 2004 . CONOPT \u2013 a large scale GRG code . ORSA J. Comput. , 6 : 207 \u2013 216 .","journal-title":"ORSA J. Comput."},{"key":"e_1_3_2_12_1","doi-asserted-by":"publisher","DOI":"10.1007\/s101070100244"},{"key":"e_1_3_2_13_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01582292"},{"key":"e_1_3_2_14_1","volume-title":"AMPL: A Modeling Language for Mathematical Programming","author":"Fourer R.","year":"1993","unstructured":"Fourer , R. , Gay , D. M. and Kernighan , B. W. 1993 . AMPL: A Modeling Language for Mathematical Programming , Scientific Press . Available at www.ampl.com"},{"key":"e_1_3_2_15_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144504446096"},{"key":"e_1_3_2_16_1","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/BF01404401","article-title":"The metric gradient in normed linear spaces","volume":"20","author":"Golomb M.","year":"1972","unstructured":"Golomb , M. and Tapia , R. A. 1972 . The metric gradient in normed linear spaces . Numer. Math , 20 : 115 \u2013 124 .","journal-title":"Numer. Math"},{"key":"e_1_3_2_17_1","first-page":"149","volume-title":"Proceedings of the IFIP TC7 Conference on System Modelling and Optimization","author":"Gould N. I.M.","unstructured":"Gould , N. I.M. and Toint , Ph. L. SQP methods for large-scale nonlinear programming . Proceedings of the IFIP TC7 Conference on System Modelling and Optimization . Edited by: Powell , M. J.D. and Scholtes , S. pp. 149 \u2013 178 . Dordrecht : Kluwer Academic Publishers ."},{"key":"e_1_3_2_18_1","doi-asserted-by":"publisher","DOI":"10.1145\/962437.962438"},{"key":"e_1_3_2_19_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492904000248"},{"key":"e_1_3_2_20_1","doi-asserted-by":"publisher","DOI":"10.1137\/050635225"},{"key":"e_1_3_2_21_1","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623498345075"},{"key":"e_1_3_2_22_1","doi-asserted-by":"publisher","DOI":"10.1147\/rd.471.0057"},{"issue":"4","key":"e_1_3_2_23_1","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1016\/S0893-9659(01)00162-8","article-title":"A numerical study of limited memory BFGS methods","volume":"15","author":"Morales J. L.","year":"2002","unstructured":"Morales , J. L. 2002 . A numerical study of limited memory BFGS methods . Appl. Math. Lett. , 15 ( 4 ) : 481 \u2013 487 .","journal-title":"Appl. Math. Lett."},{"key":"e_1_3_2_24_1","volume-title":"Advanced Linear Programming","author":"Murtagh B. A.","year":"1981","unstructured":"Murtagh , B. A. 1981 . Advanced Linear Programming , New York, , USA : McGraw-Hill ."},{"key":"e_1_3_2_25_1","doi-asserted-by":"crossref","unstructured":"B.A. Murtagh and M.A. Saunders MINOS 5.4 user's guide Tech. Rep. SOL 83-20R Systems Optimization Laboratory Stanford University 1983 (Revised 1995)","DOI":"10.21236\/ADA138522"},{"key":"e_1_3_2_26_1","series-title":"Springer Series in Operations Research","volume-title":"Numerical Optimization","author":"Nocedal J.","year":"2006","unstructured":"Nocedal , J. and Wright , S. J. 2006 . Numerical Optimization , 2 , Springer Series in Operations Research Berlin : Springer .","edition":"2"},{"key":"e_1_3_2_27_1","doi-asserted-by":"publisher","DOI":"10.1137\/050626776"},{"key":"e_1_3_2_28_1","volume-title":"Linear Programming: An Introduction to Finite Improvement Algorithms","author":"Solow D.","year":"1984","unstructured":"Solow , D. 1984 . Linear Programming: An Introduction to Finite Improvement Algorithms , Amsterdam : Elsevier ."},{"key":"e_1_3_2_29_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01580078"},{"key":"e_1_3_2_30_1","unstructured":"R.J. Vanderbei AMPL models Available at http:\/\/www.sor.princeton.edu\/rvdb\/ampl\/nlmodels"},{"key":"e_1_3_2_31_1","unstructured":"R.A. Waltz and T.D. Plantenga Knitro 5.0 User's Manual Technical report Ziena Optimization Inc. Evanston IL USA February 2006"},{"key":"e_1_3_2_32_1","doi-asserted-by":"publisher","DOI":"10.1145\/279232.279236"}],"container-title":["Optimization Methods and Software"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10556780903225880","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T16:51:28Z","timestamp":1770915088000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10556780903225880"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,9,24]]},"references-count":31,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,2]]}},"alternative-id":["10.1080\/10556780903225880"],"URL":"https:\/\/doi.org\/10.1080\/10556780903225880","relation":{},"ISSN":["1055-6788","1029-4937"],"issn-type":[{"value":"1055-6788","type":"print"},{"value":"1029-4937","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,9,24]]}}}