{"id":"https://openalex.org/W1981315194","doi":"https://doi.org/10.1137/0802022","title":"On Implementing Mehrotra\u2019s Predictor\u2013Corrector Interior-Point Method for Linear Programming","display_name":"On Implementing Mehrotra\u2019s Predictor\u2013Corrector Interior-Point Method for Linear Programming","publication_year":1992,"publication_date":"1992-08-01","ids":{"openalex":"https://openalex.org/W1981315194","doi":"https://doi.org/10.1137/0802022","mag":"1981315194"},"language":"en","primary_location":{"id":"doi:10.1137/0802022","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0802022","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Journal on Optimization","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/A5023466582","display_name":"Irvin J. Lustig","orcid":"https://orcid.org/0000-0003-4571-1802"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Irvin J. Lustig","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108511205","display_name":"Roy E. Marsten","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Roy E. Marsten","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5007272964","display_name":"David F. Shanno","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David F. Shanno","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023466582"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":27.0074,"has_fulltext":false,"cited_by_count":328,"citation_normalized_percentile":{"value":0.99948294,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"2","issue":"3","first_page":"435","last_page":"449"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9941999912261963,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9921000003814697,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.854060173034668},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7693928480148315},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.7644888162612915},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4811736047267914},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46762046217918396},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.451699435710907},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4366835057735443},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4206937253475189},{"id":"https://openalex.org/keywords/predictor\u2013corrector-method","display_name":"Predictor\u2013corrector method","score":0.41311779618263245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17668813467025757},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06543436646461487}],"concepts":[{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.854060173034668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7693928480148315},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.7644888162612915},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4811736047267914},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46762046217918396},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.451699435710907},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4366835057735443},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4206937253475189},{"id":"https://openalex.org/C157977623","wikidata":"https://www.wikidata.org/wiki/Q2650267","display_name":"Predictor\u2013corrector method","level":2,"score":0.41311779618263245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17668813467025757},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06543436646461487},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0802022","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0802022","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.5899999737739563,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1981053712","https://openalex.org/W1986705183","https://openalex.org/W2030490984","https://openalex.org/W2057523751","https://openalex.org/W2078519610","https://openalex.org/W2115974907"],"related_works":["https://openalex.org/W2124504864","https://openalex.org/W1997779033","https://openalex.org/W1988364556","https://openalex.org/W2965106131","https://openalex.org/W2324999667","https://openalex.org/W2032195938","https://openalex.org/W3115336282","https://openalex.org/W2180665313","https://openalex.org/W2114808974","https://openalex.org/W2144868677"],"abstract_inverted_index":{"Mehrotra":[0],"[Tech.":[1],"Report":[2],"90-03,":[3],"Department":[4],"of":[5,21,35,73,88],"Industrial":[6],"Engineering":[7],"and":[8,46,77,86,105],"Management":[9],"Sciences,":[10],"Northwestern":[11],"University,":[12],"Evanston,":[13],"IL,":[14],"1990]":[15],"recently":[16],"described":[17],"a":[18,32,106],"predictor\u2013corrector":[19],"variant":[20],"the":[22,56,71,74,79,84,89],"primal\u2013dual":[23,75],"interior-point":[24],"algorithm":[25,76],"for":[26,40],"linear":[27],"programming.":[28],"This":[29],"paper":[30],"describes":[31],"full":[33],"implementation":[34],"this":[36,65],"algorithm,":[37],"with":[38,43,48],"extensions":[39],"solving":[41],"problems":[42,47],"free":[44],"variables":[45],"bounds":[49],"on":[50,55],"primal":[51],"variables.":[52],"Computational":[53],"results":[54],"NETLIB":[57],"test":[58],"set":[59],"are":[60],"given":[61],"to":[62,99],"show":[63],"that":[64,78],"new":[66],"method":[67],"almost":[68],"always":[69],"improves":[70],"performance":[72],"improvement":[80],"increases":[81],"dramatically":[82],"as":[83],"size":[85],"complexity":[87],"problem":[90],"increases.":[91],"A":[92],"numerical":[93,107],"instability":[94],"in":[95],"using":[96],"Schur":[97],"complements":[98],"remove":[100],"dense":[101],"columns":[102],"is":[103,109],"identified,":[104],"remedy":[108],"given.":[110]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":35},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}