{"id":"https://openalex.org/W1973909189","doi":"https://doi.org/10.1137/0804013","title":"Line Search Procedures for the Logarithmic Barrier Function","display_name":"Line Search Procedures for the Logarithmic Barrier Function","publication_year":1994,"publication_date":"1994-05-01","ids":{"openalex":"https://openalex.org/W1973909189","doi":"https://doi.org/10.1137/0804013","mag":"1973909189"},"language":"en","primary_location":{"id":"doi:10.1137/0804013","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0804013","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/A5109312645","display_name":"Walter Murray","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Walter Murray","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"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":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.6613,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.96130346,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"4","issue":"2","first_page":"229","last_page":"246"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.996999979019165,"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":0.9941999912261963,"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/line-search","display_name":"Line search","score":0.8517538905143738},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.7455105781555176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6748788356781006},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6408606171607971},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.6147452592849731},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5887884497642517},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5774195194244385},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.42028728127479553},{"id":"https://openalex.org/keywords/barrier-function","display_name":"Barrier function","score":0.4171583354473114},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3362376093864441},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19752109050750732},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12383976578712463},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.0782347321510315},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06333103775978088}],"concepts":[{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.8517538905143738},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7455105781555176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6748788356781006},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6408606171607971},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.6147452592849731},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5887884497642517},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5774195194244385},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.42028728127479553},{"id":"https://openalex.org/C51911345","wikidata":"https://www.wikidata.org/wiki/Q4863604","display_name":"Barrier function","level":2,"score":0.4171583354473114},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3362376093864441},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19752109050750732},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12383976578712463},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.0782347321510315},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06333103775978088},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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":1,"locations":[{"id":"doi:10.1137/0804013","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0804013","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":[{"id":"https://metadata.un.org/sdg/1","score":0.7099999785423279,"display_name":"No poverty"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W34233964","https://openalex.org/W291003596","https://openalex.org/W971749190","https://openalex.org/W1966520331","https://openalex.org/W1969487360","https://openalex.org/W2036622774","https://openalex.org/W2062294426","https://openalex.org/W2078950386","https://openalex.org/W2140142240","https://openalex.org/W2153532571","https://openalex.org/W2157590940","https://openalex.org/W2214462370","https://openalex.org/W2326806701","https://openalex.org/W2611147814","https://openalex.org/W3118870036","https://openalex.org/W4212997115","https://openalex.org/W4249290066","https://openalex.org/W4251256931","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W1546266651","https://openalex.org/W4289793162","https://openalex.org/W2952185452","https://openalex.org/W2046736294","https://openalex.org/W2107915509","https://openalex.org/W2108283631","https://openalex.org/W1519526186","https://openalex.org/W2980815195","https://openalex.org/W2260200182","https://openalex.org/W3157095659"],"abstract_inverted_index":{"Barrier":[0],"methods":[1],"for":[2,51,85],"constrained":[3],"optimization,":[4],"widely":[5],"applied":[6],"in":[7,48],"the":[8,70,86],"1960s":[9],"and":[10,66],"1970s,":[11],"have":[12],"recently":[13],"enjoyed":[14],"a":[15,25],"revival":[16],"of":[17,36,57,69],"popularity.":[18],"A":[19],"line":[20,41,80],"search":[21,42,81],"with":[22],"respect":[23],"to":[24,45],"logarithmic":[26,87],"barrier":[27,71,88],"function":[28,32,72],"or":[29],"related":[30],"potential":[31],"is":[33],"often":[34],"part":[35],"modern":[37],"interior":[38],"methods.":[39],"Standard":[40],"procedures":[43],"tend":[44],"be":[46],"inefficient":[47],"this":[49],"context":[50],"two":[52],"reasons;":[53],"an":[54],"inappropriate":[55],"choice":[56],"initial":[58],"trial":[59],"step":[60],"if":[61],"any":[62],"constraints":[63],"are":[64],"nonlinear,":[65],"poor":[67],"approximation":[68],"by":[73],"loworder":[74],"polynomial":[75],"interpolants.":[76],"This":[77],"paper":[78],"discusses":[79],"strategies":[82],"specifically":[83],"designed":[84],"function.":[89]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-12T21:12:35.861297","created_date":"2025-10-10T00:00:00"}