{"id":"https://openalex.org/W1483257570","doi":"https://doi.org/10.1023/a:1022945316191","title":"Extension of Quasi-Newton Methods to Mathematical Programs with Complementarity Constraints","display_name":"Extension of Quasi-Newton Methods to Mathematical Programs with Complementarity Constraints","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W1483257570","doi":"https://doi.org/10.1023/a:1022945316191","mag":"1483257570"},"language":"en","primary_location":{"id":"doi:10.1023/a:1022945316191","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1022945316191","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033001708","display_name":"Houyuan Jiang","orcid":"https://orcid.org/0000-0002-2466-6929"},"institutions":[{"id":"https://openalex.org/I1292875679","display_name":"Commonwealth Scientific and Industrial Research Organisation","ror":"https://ror.org/03qn8fb07","country_code":"AU","type":"funder","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Houyuan Jiang","raw_affiliation_strings":["CSIRO Mathematical and Information Sciences, GPO Box 664, Canberra ACT, 2601, Australia","CSIRO Mathematical and Information Sciences, GPO Box 664, Canberra ACT 2601, Australia. Houyuan.Jiang@csiro.au"],"affiliations":[{"raw_affiliation_string":"CSIRO Mathematical and Information Sciences, GPO Box 664, Canberra ACT, 2601, Australia","institution_ids":["https://openalex.org/I1292875679"]},{"raw_affiliation_string":"CSIRO Mathematical and Information Sciences, GPO Box 664, Canberra ACT 2601, Australia. Houyuan.Jiang@csiro.au","institution_ids":["https://openalex.org/I1292875679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102776002","display_name":"Daniel Ralph","orcid":"https://orcid.org/0000-0002-1079-4081"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Daniel Ralph","raw_affiliation_strings":["The Judge Institute of Management, University of Cambridge, Trumpington St, CB2 1AG, UK","The Judge Institute of Management, University of Cambridge, Trumpington St., CB2 1AG, UK. danny.ralph@jims.cam.ac.uk#TAB#"],"affiliations":[{"raw_affiliation_string":"The Judge Institute of Management, University of Cambridge, Trumpington St, CB2 1AG, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"The Judge Institute of Management, University of Cambridge, Trumpington St., CB2 1AG, UK. danny.ralph@jims.cam.ac.uk#TAB#","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033001708"],"corresponding_institution_ids":["https://openalex.org/I1292875679"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.191,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.95794118,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"1-3","first_page":"123","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7543649077415466},{"id":"https://openalex.org/keywords/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.7149257063865662},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5658355951309204},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.5569342970848083},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5380178689956665},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5342480540275574},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.5267245769500732},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.5240538120269775},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.49951767921447754},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46767860651016235},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4406338036060333},{"id":"https://openalex.org/keywords/compact-convergence","display_name":"Compact convergence","score":0.41562044620513916},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.26015573740005493},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.18955403566360474},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1741315722465515},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11620539426803589},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1098821759223938},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.09991633892059326}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7543649077415466},{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.7149257063865662},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5658355951309204},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.5569342970848083},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5380178689956665},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5342480540275574},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.5267245769500732},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.5240538120269775},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.49951767921447754},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46767860651016235},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4406338036060333},{"id":"https://openalex.org/C5871375","wikidata":"https://www.wikidata.org/wiki/Q1780715","display_name":"Compact convergence","level":4,"score":0.41562044620513916},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.26015573740005493},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.18955403566360474},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1741315722465515},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11620539426803589},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1098821759223938},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.09991633892059326},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1022945316191","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1022945316191","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W49930306","https://openalex.org/W135273259","https://openalex.org/W145191360","https://openalex.org/W217831350","https://openalex.org/W1011298704","https://openalex.org/W1484204181","https://openalex.org/W1486436192","https://openalex.org/W1517656880","https://openalex.org/W1604627832","https://openalex.org/W1966095601","https://openalex.org/W1976886395","https://openalex.org/W1980118447","https://openalex.org/W1990676004","https://openalex.org/W1993647205","https://openalex.org/W1994229564","https://openalex.org/W2004207512","https://openalex.org/W2033573391","https://openalex.org/W2037678919","https://openalex.org/W2041640046","https://openalex.org/W2042838878","https://openalex.org/W2046272803","https://openalex.org/W2053643774","https://openalex.org/W2057875970","https://openalex.org/W2062294426","https://openalex.org/W2065066829","https://openalex.org/W2065428088","https://openalex.org/W2066076004","https://openalex.org/W2077658674","https://openalex.org/W2084236346","https://openalex.org/W2090411045","https://openalex.org/W2108814972","https://openalex.org/W2112820497","https://openalex.org/W2124959855","https://openalex.org/W2128234186","https://openalex.org/W2141640731","https://openalex.org/W2155640943","https://openalex.org/W2163089608","https://openalex.org/W2166758048","https://openalex.org/W2171126500","https://openalex.org/W2296593147","https://openalex.org/W2527098997","https://openalex.org/W2731844756","https://openalex.org/W4231147659","https://openalex.org/W4246495354","https://openalex.org/W4285719527","https://openalex.org/W6629071500"],"related_works":["https://openalex.org/W2041357654","https://openalex.org/W2039312875","https://openalex.org/W2393251729","https://openalex.org/W2387203583","https://openalex.org/W2363367808","https://openalex.org/W2738444605","https://openalex.org/W3122039024","https://openalex.org/W4252781672","https://openalex.org/W2383475544","https://openalex.org/W2029622466"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}