{"id":"https://openalex.org/W2069671092","doi":"https://doi.org/10.1137/s0036144502414942","title":"Interior Methods for Nonlinear Optimization","display_name":"Interior Methods for Nonlinear Optimization","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2069671092","doi":"https://doi.org/10.1137/s0036144502414942","mag":"2069671092"},"language":"en","primary_location":{"id":"doi:10.1137/s0036144502414942","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036144502414942","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","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/A5033807851","display_name":"Anders Forsgren","orcid":"https://orcid.org/0000-0002-6252-7815"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Anders Forsgren","raw_affiliation_strings":["KTH\u00a0\u2013 Royal Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KTH\u00a0\u2013 Royal Institute of Technology","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003732991","display_name":"Philip E. Gill","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip E. Gill","raw_affiliation_strings":["University of California at San Diego"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California at San Diego","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103458692","display_name":"Margaret H. Wright","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Margaret H. Wright","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":15.5838,"has_fulltext":false,"cited_by_count":702,"citation_normalized_percentile":{"value":0.99480519,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"44","issue":"4","first_page":"525","last_page":"597"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":1.0,"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":1.0,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9915000200271606,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.9346059560775757},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.6082057356834412},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6053719520568848},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5792960524559021},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5316323041915894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44648104906082153},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4446900486946106},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.43685194849967957},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42995473742485046},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.381669819355011},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3088962435722351}],"concepts":[{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.9346059560775757},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.6082057356834412},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6053719520568848},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5792960524559021},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5316323041915894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44648104906082153},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4446900486946106},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.43685194849967957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42995473742485046},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.381669819355011},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3088962435722351},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0036144502414942","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036144502414942","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.101.2150","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.101.2150","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.kth.se/~andersf/doc/sirev41494.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.323.9484","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.323.9484","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ccom.ucsd.edu/~peg/papers/survey.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7599999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":113,"referenced_works":["https://openalex.org/W61948969","https://openalex.org/W90777555","https://openalex.org/W147998453","https://openalex.org/W182881619","https://openalex.org/W291003596","https://openalex.org/W1482453036","https://openalex.org/W1490084264","https://openalex.org/W1495350211","https://openalex.org/W1497494571","https://openalex.org/W1508335918","https://openalex.org/W1518039036","https://openalex.org/W1522222833","https://openalex.org/W1571051474","https://openalex.org/W1573409602","https://openalex.org/W1574856455","https://openalex.org/W1588059640","https://openalex.org/W1601541039","https://openalex.org/W1632601927","https://openalex.org/W1788350818","https://openalex.org/W1875551406","https://openalex.org/W1877361590","https://openalex.org/W1963547452","https://openalex.org/W1964015691","https://openalex.org/W1965391256","https://openalex.org/W1966000604","https://openalex.org/W1967810262","https://openalex.org/W1970946112","https://openalex.org/W1971536112","https://openalex.org/W1973702207","https://openalex.org/W1973909189","https://openalex.org/W1974153211","https://openalex.org/W1974634731","https://openalex.org/W1977361487","https://openalex.org/W1978275959","https://openalex.org/W1978554456","https://openalex.org/W1982269962","https://openalex.org/W1982356825","https://openalex.org/W1984633545","https://openalex.org/W1987953347","https://openalex.org/W1991182684","https://openalex.org/W1991682620","https://openalex.org/W1992386684","https://openalex.org/W1994469568","https://openalex.org/W1996025842","https://openalex.org/W1997965167","https://openalex.org/W2002273082","https://openalex.org/W2009029393","https://openalex.org/W2009666506","https://openalex.org/W2010237532","https://openalex.org/W2014101933","https://openalex.org/W2015530812","https://openalex.org/W2017666390","https://openalex.org/W2019744552","https://openalex.org/W2022234616","https://openalex.org/W2024913002","https://openalex.org/W2032756980","https://openalex.org/W2035740281","https://openalex.org/W2036622774","https://openalex.org/W2039526985","https://openalex.org/W2041684917","https://openalex.org/W2042360648","https://openalex.org/W2042370800","https://openalex.org/W2046222402","https://openalex.org/W2047515818","https://openalex.org/W2048799772","https://openalex.org/W2051960168","https://openalex.org/W2058194880","https://openalex.org/W2058475249","https://openalex.org/W2066119044","https://openalex.org/W2066710237","https://openalex.org/W2066746998","https://openalex.org/W2068484625","https://openalex.org/W2071425572","https://openalex.org/W2075194837","https://openalex.org/W2075998338","https://openalex.org/W2077516534","https://openalex.org/W2077658674","https://openalex.org/W2079135578","https://openalex.org/W2080937142","https://openalex.org/W2083431695","https://openalex.org/W2087542711","https://openalex.org/W2089772386","https://openalex.org/W2090523290","https://openalex.org/W2090963365","https://openalex.org/W2091917610","https://openalex.org/W2092677228","https://openalex.org/W2094435468","https://openalex.org/W2095007759","https://openalex.org/W2103582339","https://openalex.org/W2106353864","https://openalex.org/W2111948593","https://openalex.org/W2132248149","https://openalex.org/W2134847890","https://openalex.org/W2140997052","https://openalex.org/W2143628714","https://openalex.org/W2149416133","https://openalex.org/W2157590940","https://openalex.org/W2231645612","https://openalex.org/W2294171487","https://openalex.org/W2327853323","https://openalex.org/W2611147814","https://openalex.org/W2787523326","https://openalex.org/W2798766386","https://openalex.org/W2912522929","https://openalex.org/W3118870036","https://openalex.org/W4212973943","https://openalex.org/W4212997115","https://openalex.org/W4233558979","https://openalex.org/W4249667877","https://openalex.org/W4254106911","https://openalex.org/W4285719527","https://openalex.org/W4293775970","https://openalex.org/W4302155765"],"related_works":["https://openalex.org/W4206704743","https://openalex.org/W1495847109","https://openalex.org/W436931041","https://openalex.org/W2019128690","https://openalex.org/W2390817143","https://openalex.org/W2106813160","https://openalex.org/W2355743697","https://openalex.org/W16121019","https://openalex.org/W2894731288","https://openalex.org/W37880458"],"abstract_inverted_index":{"Interior":[0],"methods":[1,63,92,144,179],"are":[2],"an":[3],"omnipresent,":[4],"conspicuous":[5],"feature":[6],"of":[7,23,49,53,71,105,118,161],"the":[8,21,31,50,54,88,103,157],"constrained":[9,36,162,182],"optimization":[10],"landscape":[11],"today,":[12],"but":[13,58],"it":[14],"was":[15,44,132],"not":[16,45],"always":[17],"so.":[18],"Primarily":[19],"in":[20,69,102,116,127],"form":[22],"barrier":[24,62,91,139],"methods,":[25],"interior-point":[26],"techniques":[27],"were":[28,93],"popular":[29],"during":[30],"1960s":[32],"for":[33,41,124,180],"solving":[34],"nonlinearly":[35,181],"problems.":[37],"However,":[38],"their":[39,67,152],"use":[40],"linear":[42,125],"programming":[43,85],"even":[46],"contemplated":[47],"because":[48],"total":[51],"dominance":[52],"simplex":[55],"method.":[56],"Vague":[57],"continuing":[59],"anxiety":[60],"about":[61,177],"eventually":[64],"led":[65],"to":[66],"abandonment":[68],"favor":[70],"newly":[72],"emerging,":[73],"apparently":[74],"more":[75],"efficient":[76],"alternatives":[77],"such":[78],"as":[79,98],"augmented":[80],"Lagrangian":[81],"and":[82,137,159,174],"sequential":[83],"quadratic":[84],"methods.":[86,140],"By":[87],"early":[89],"1980s,":[90],"almost":[94],"without":[95],"exception":[96],"regarded":[97],"a":[99,119,129,167],"closed":[100],"chapter":[101],"history":[104],"optimization.":[106,163,183],"This":[107,164],"picture":[108],"changed":[109],"dramatically":[110],"with":[111],"Karmarkar's":[112],"widely":[113],"publicized":[114],"announcement":[115],"1984":[117],"fast":[120],"polynomial-time":[121],"interior":[122,143,178],"method":[123,136],"programming;":[126],"1985,":[128],"formal":[130],"connection":[131],"established":[133],"between":[134],"his":[135],"classical":[138,172],"Since":[141],"then,":[142],"have":[145],"advanced":[146],"so":[147,149],"far,":[148],"fast,":[150],"that":[151],"influence":[153],"has":[154],"transformed":[155],"both":[156],"theory":[158],"practice":[160],"article":[165],"provides":[166],"condensed,":[168],"selective":[169],"look":[170],"at":[171],"material":[173],"recent":[175],"research":[176]},"counts_by_year":[{"year":2026,"cited_by_count":22},{"year":2025,"cited_by_count":27},{"year":2024,"cited_by_count":34},{"year":2023,"cited_by_count":34},{"year":2022,"cited_by_count":28},{"year":2021,"cited_by_count":44},{"year":2020,"cited_by_count":30},{"year":2019,"cited_by_count":31},{"year":2018,"cited_by_count":40},{"year":2017,"cited_by_count":38},{"year":2016,"cited_by_count":33},{"year":2015,"cited_by_count":25},{"year":2014,"cited_by_count":43},{"year":2013,"cited_by_count":32},{"year":2012,"cited_by_count":43}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}