{"id":"https://openalex.org/W2073493880","doi":"https://doi.org/10.1137/s1052623495291793","title":"On Effectively Computing the Analytic Center of the Solution Set by Primal-Dual Interior-Point Methods","display_name":"On Effectively Computing the Analytic Center of the Solution Set by Primal-Dual Interior-Point Methods","publication_year":1998,"publication_date":"1998-02-01","ids":{"openalex":"https://openalex.org/W2073493880","doi":"https://doi.org/10.1137/s1052623495291793","mag":"2073493880"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623495291793","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623495291793","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/A5046605569","display_name":"Mar\u00eda D. Gonz\u00e1lez-Lima","orcid":"https://orcid.org/0000-0002-7750-9564"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mar\u00eda D. Gonz\u00e1lez-Lima","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108338956","display_name":"R. A. Tapia","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Richard A. Tapia","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5051944217","display_name":"Florian A. Potra","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Florian A. Potra","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046605569"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.23449186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":"1","first_page":"1","last_page":"25"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9975000023841858,"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":0.9959999918937683,"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":0.8858950138092041},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6765685677528381},{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.6741011738777161},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6374227404594421},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5605127215385437},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.553954005241394},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.553867757320404},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5308899283409119},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.5187199711799622},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4840380549430847},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4628556966781616},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.41670021414756775},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4074050188064575},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3207230567932129},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2363082766532898},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22807878255844116},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11088353395462036}],"concepts":[{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.8858950138092041},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6765685677528381},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.6741011738777161},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6374227404594421},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5605127215385437},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.553954005241394},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.553867757320404},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5308899283409119},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.5187199711799622},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4840380549430847},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4628556966781616},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.41670021414756775},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4074050188064575},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3207230567932129},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2363082766532898},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22807878255844116},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11088353395462036},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s1052623495291793","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623495291793","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"},{"id":"pmh:ADA445646","is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA445646","pdf_url":null,"source":{"id":"https://openalex.org/S4406923043","display_name":"Defense Technical Information Center (DTIC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"DTIC","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.39.2813","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.39.2813","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uiowa.edu/~potra/REPORTS/rep76_95.ps","raw_type":"text"},{"id":"pmh:oai:scholarship.rice.edu:1911/101867","is_oa":false,"landing_page_url":"http://hdl.handle.net/1911/101867","pdf_url":null,"source":{"id":"https://openalex.org/S4306401268","display_name":"Rice Digital Scholarship Archive (Rice University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74775410","host_organization_name":"Rice University","host_organization_lineage":["https://openalex.org/I74775410"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Technical report"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W21055737","https://openalex.org/W84451911","https://openalex.org/W287668858","https://openalex.org/W1573409602","https://openalex.org/W1709621369","https://openalex.org/W1966000604","https://openalex.org/W1972223440","https://openalex.org/W1981315194","https://openalex.org/W1982356825","https://openalex.org/W1986705183","https://openalex.org/W1990665670","https://openalex.org/W1994960553","https://openalex.org/W1995314418","https://openalex.org/W2014885585","https://openalex.org/W2036622774","https://openalex.org/W2042092751","https://openalex.org/W2050897335","https://openalex.org/W2068484625","https://openalex.org/W2083431695","https://openalex.org/W2088888723","https://openalex.org/W2095723131","https://openalex.org/W2111152960","https://openalex.org/W2112914259","https://openalex.org/W2460322110","https://openalex.org/W2808829785","https://openalex.org/W2809572858","https://openalex.org/W4241490660"],"related_works":["https://openalex.org/W2965106131","https://openalex.org/W2114808974","https://openalex.org/W2094757704","https://openalex.org/W25030584","https://openalex.org/W29231041","https://openalex.org/W2610104823","https://openalex.org/W1970997620","https://openalex.org/W2092044038","https://openalex.org/W2144582354","https://openalex.org/W2074889170"],"abstract_inverted_index":{"The":[0],"computation":[1,43],"of":[2,6,32,44,52],"the":[3,7,29,33,41,45,50,64],"analytic":[4,46],"center":[5,47],"solution":[8,24,34,48,66],"set":[9],"can":[10],"be":[11],"important":[12],"in":[13],"linear":[14],"programming":[15],"applications":[16],"where":[17],"it":[18],"is":[19,26,67],"desirable":[20],"to":[21],"obtain":[22],"a":[23],"that":[25],"not":[27],"near":[28],"relative":[30],"boundary":[31],"set.":[35],"In":[36],"this":[37],"work":[38],"we":[39],"discuss":[40],"effective":[42],"by":[49],"use":[51],"primal-dual":[53,57],"interior-point":[54,58],"methods.":[55],"A":[56],"algorithm":[59],"designed":[60],"for":[61],"effectively":[62],"computing":[63],"analytic-center":[65],"proposed,":[68],"and":[69,71],"theory":[70],"numerical":[72],"results":[73],"are":[74],"presented.":[75]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}