{"id":"https://openalex.org/W2034018955","doi":"https://doi.org/10.1137/0806018","title":"Convergence of an Infeasible Interior-Point Algorithm from Arbitrary Positive Starting Points","display_name":"Convergence of an Infeasible Interior-Point Algorithm from Arbitrary Positive Starting Points","publication_year":1996,"publication_date":"1996-05-01","ids":{"openalex":"https://openalex.org/W2034018955","doi":"https://doi.org/10.1137/0806018","mag":"2034018955"},"language":"en","primary_location":{"id":"doi:10.1137/0806018","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0806018","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/A5026811780","display_name":"Stephen C. Billups","orcid":"https://orcid.org/0000-0003-3627-0793"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Stephen C. Billups","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5088455558","display_name":"Michael C. Ferris","orcid":"https://orcid.org/0000-0002-7652-6776"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael C. Ferris","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026811780"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9397,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.73756514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"6","issue":"2","first_page":"316","last_page":"325"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9984999895095825,"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":0.9966999888420105,"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/interior-point-method","display_name":"Interior point method","score":0.7953753471374512},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7255394458770752},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.672901451587677},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.636269211769104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5410240292549133},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4723338186740875},{"id":"https://openalex.org/keywords/symbolic-convergence-theory","display_name":"Symbolic convergence theory","score":0.46326521039009094},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4346321225166321},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32864493131637573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21098309755325317},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07965484261512756}],"concepts":[{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.7953753471374512},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7255394458770752},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.672901451587677},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.636269211769104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5410240292549133},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4723338186740875},{"id":"https://openalex.org/C64980692","wikidata":"https://www.wikidata.org/wiki/Q16191959","display_name":"Symbolic convergence theory","level":3,"score":0.46326521039009094},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4346321225166321},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32864493131637573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21098309755325317},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07965484261512756},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0806018","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0806018","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1977916887","https://openalex.org/W1981315194","https://openalex.org/W1985229624","https://openalex.org/W1996267767","https://openalex.org/W2016187009","https://openalex.org/W2030490984","https://openalex.org/W2036675242","https://openalex.org/W2041976684","https://openalex.org/W2043868859","https://openalex.org/W2086867325","https://openalex.org/W2087914022","https://openalex.org/W2154951198","https://openalex.org/W2571013927","https://openalex.org/W2948315098"],"related_works":["https://openalex.org/W211549749","https://openalex.org/W2610104823","https://openalex.org/W2490206437","https://openalex.org/W914480353","https://openalex.org/W138441773","https://openalex.org/W2171604177","https://openalex.org/W2088213153","https://openalex.org/W2921318248","https://openalex.org/W2033794497","https://openalex.org/W4299875354"],"abstract_inverted_index":{"An":[0],"important":[1,23],"advantage":[2,106],"of":[3,28,107],"infeasible":[4,62],"interior-point":[5,9,63],"methods":[6,10],"over":[7],"feasible":[8],"is":[11,21,81],"their":[12],"ability":[13,36],"to":[14,32,37,83,118,120,136],"be":[15,134],"warm-started":[16],"from":[17,100],"approximate":[18],"solutions.":[19],"It":[20,80],"therefore":[22],"for":[24,60,65,139,142],"the":[25,35,39,66,77,85,89,96,101,105,109,130],"convergence":[26,58,138],"theory":[27],"these":[29],"algorithms":[30],"not":[31],"depend":[33],"on":[34,76],"alter":[38],"starting":[40,78,90,124],"point.":[41,79],"In":[42,111],"a":[43,55,74],"recent":[44],"paper":[45,113],"[SIAM":[46],"J.":[47],"Optim.,":[48],"4":[49],"(1994),":[50],"pp.":[51],"208\u2013227],":[52],"Zhang":[53],"proves":[54],"global":[56],"linear":[57,68,144],"rate":[59],"an":[61,140],"method":[64],"horizontal":[67],"complementarily":[69,145],"problem,":[70],"which":[71],"unfortunately":[72],"places":[73],"restriction":[75,86],"easy":[82],"meet":[84],"by":[87],"altering":[88],"point,":[91],"but":[92],"this":[93,112],"may":[94],"take":[95],"point":[97],"farther":[98],"away":[99],"solution,":[102],"thus":[103],"removing":[104],"warm-starting":[108],"algorithm.":[110],"we":[114],"extend":[115],"Zhang\u2019s":[116],"results":[117,132],"apply":[119],"arbitrary":[121],"strictly":[122],"positive":[123],"points.":[125],"We":[126],"also":[127],"show":[128],"how":[129],"extended":[131],"can":[133],"used":[135],"prove":[137],"algorithm":[141],"box-constrained":[143],"problems.":[146]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}