{"id":"https://openalex.org/W1982356825","doi":"https://doi.org/10.1137/0803019","title":"On the Superlinear Convergence of Interior-Point Algorithms for a General Class of Problems","display_name":"On the Superlinear Convergence of Interior-Point Algorithms for a General Class of Problems","publication_year":1993,"publication_date":"1993-05-01","ids":{"openalex":"https://openalex.org/W1982356825","doi":"https://doi.org/10.1137/0803019","mag":"1982356825"},"language":"en","primary_location":{"id":"doi:10.1137/0803019","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0803019","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/A5100343713","display_name":"Yin Zhang","orcid":"https://orcid.org/0000-0002-3225-3382"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yin Zhang","raw_affiliation_strings":[],"raw_orcid":null,"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 Tapia","raw_affiliation_strings":[],"raw_orcid":null,"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 Potra","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.5243,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.97995666,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":"2","first_page":"413","last_page":"422"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9973000288009644,"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":0.9934999942779541,"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":0.8198813796043396},{"id":"https://openalex.org/keywords/orthant","display_name":"Orthant","score":0.8112349510192871},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.6830037832260132},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6108307838439941},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5825965404510498},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5395760536193848},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5376334190368652},{"id":"https://openalex.org/keywords/normal-convergence","display_name":"Normal convergence","score":0.52695232629776},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5100930333137512},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5030388236045837},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.458503782749176},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.45821115374565125},{"id":"https://openalex.org/keywords/compact-convergence","display_name":"Compact convergence","score":0.4136943519115448},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40897756814956665},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34609225392341614},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.2466733455657959},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14966699481010437},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13491275906562805},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08779650926589966}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8198813796043396},{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.8112349510192871},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.6830037832260132},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6108307838439941},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5825965404510498},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5395760536193848},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5376334190368652},{"id":"https://openalex.org/C14928880","wikidata":"https://www.wikidata.org/wiki/Q1512559","display_name":"Normal convergence","level":4,"score":0.52695232629776},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5100930333137512},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5030388236045837},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.458503782749176},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.45821115374565125},{"id":"https://openalex.org/C5871375","wikidata":"https://www.wikidata.org/wiki/Q1780715","display_name":"Compact convergence","level":4,"score":0.4136943519115448},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40897756814956665},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34609225392341614},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2466733455657959},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14966699481010437},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13491275906562805},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08779650926589966},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/0803019","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0803019","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:ADA455378","is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA455378","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:repository.rice.edu:1911/101674","is_oa":false,"landing_page_url":"https://hdl.handle.net/1911/101674">https://hdl.handle.net/1911/101674</a>.","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":null,"raw_type":"Technical report"},{"id":"pmh:oai:scholarship.rice.edu:1911/101674","is_oa":false,"landing_page_url":"http://hdl.handle.net/1911/101674","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W161404398","https://openalex.org/W650944015","https://openalex.org/W1573409602","https://openalex.org/W1986705183","https://openalex.org/W2014885585","https://openalex.org/W2030490984","https://openalex.org/W2030674458","https://openalex.org/W2038872086","https://openalex.org/W2044061073","https://openalex.org/W2065909716","https://openalex.org/W2074316151","https://openalex.org/W2104431380","https://openalex.org/W2108105954","https://openalex.org/W2127470768","https://openalex.org/W2168825111","https://openalex.org/W2317402599","https://openalex.org/W2922104599","https://openalex.org/W4301216918"],"related_works":["https://openalex.org/W2180233726","https://openalex.org/W1976817600","https://openalex.org/W4301012366","https://openalex.org/W2951349428","https://openalex.org/W4362576094","https://openalex.org/W52475494","https://openalex.org/W2065713338","https://openalex.org/W2285605129","https://openalex.org/W2058880726","https://openalex.org/W2034171981"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,6,79,82,85,90,106,112,120],"authors":[4],"extend":[5],"Q-superlinear":[7,68],"convergence":[8,69,117],"theory":[9],"recently":[10],"developed":[11],"by":[12],"Zhang,":[13],"Tapia,":[14],"and":[15,32,88,111],"Dennis":[16],"for":[17,29,33,63],"a":[18,47,55,96],"class":[19],"of":[20,41,54,60,76,84,101,109,115,122],"interior-point":[21,27],"linear":[22,34],"programming":[23,31],"algorithms":[24,28,45,65,102],"to":[25,52,66,81],"similar":[26],"quadratic":[30],"complementarily":[35],"problems.":[36],"This":[37],"unified":[38],"approach":[39,93],"consists":[40],"viewing":[42],"all":[43],"these":[44,64],"as":[46],"damped":[48],"Newton":[49],"method":[50],"applied":[51],"perturbations":[53],"general":[56],"problem.":[57],"A":[58],"set":[59],"sufficient":[61],"conditions":[62],"achieve":[67],"is":[70],"established.":[71],"The":[72,99],"key":[73],"ingredients":[74],"consist":[75],"asymptotically":[77],"taking":[78],"step":[80],"boundary":[83],"positive":[86],"orthant":[87],"letting":[89],"centering":[91],"parameter":[92],"zero":[94],"at":[95],"specific":[97],"rate.":[98],"construction":[100],"that":[103],"have":[104],"both":[105],"global":[107],"property":[108,114],"polynomiality":[110],"local":[113],"superlinear":[116],"will":[118],"be":[119],"subject":[121],"further":[123],"research.":[124]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}