{"id":"https://openalex.org/W2168617555","doi":"https://doi.org/10.1080/00207160701294442","title":"Practical implementation of an interior point nonmonotone line search filter method","display_name":"Practical implementation of an interior point nonmonotone line search filter method","publication_year":2008,"publication_date":"2008-03-26","ids":{"openalex":"https://openalex.org/W2168617555","doi":"https://doi.org/10.1080/00207160701294442","mag":"2168617555"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701294442","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701294442","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00545353","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029326209","display_name":"M. Fernanda P. Costa","orcid":"https://orcid.org/0000-0001-6235-286X"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"M. Fernanda\u00a0P. Costa","raw_affiliation_strings":["Mathematics for Science and Technology Department, University of Minho, 4800-058 Guimar\u00e3es, Portugal","Mathematics for Science and Technology (4800-058;Guimaraes - Portugal)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics for Science and Technology Department, University of Minho, 4800-058 Guimar\u00e3es, Portugal","institution_ids":["https://openalex.org/I99682543"]},{"raw_affiliation_string":"Mathematics for Science and Technology (4800-058;Guimaraes - Portugal)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004033429","display_name":"Edite M. G. P. Fernandes","orcid":"https://orcid.org/0000-0003-0722-9361"},"institutions":[{"id":"https://openalex.org/I4210161786","display_name":"Clinical Academic Center of Braga","ror":"https://ror.org/05tb15k40","country_code":"PT","type":"healthcare","lineage":["https://openalex.org/I4210161786"]},{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Edite M. G. P. Fernandes","raw_affiliation_strings":["Production and Systems Department, University of Minho, 4710-057, Braga, Portugal","Production and Systems (Braga - Portugal)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Production and Systems Department, University of Minho, 4710-057, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]},{"raw_affiliation_string":"Production and Systems (Braga - Portugal)","institution_ids":["https://openalex.org/I4210161786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004033429"],"corresponding_institution_ids":["https://openalex.org/I4210161786","https://openalex.org/I99682543"],"apc_list":null,"apc_paid":null,"fwci":4.9352,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.9548208,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"85","issue":"3-4","first_page":"397","last_page":"409"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9857000112533569,"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":0.8755706548690796},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.8440793752670288},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6585419178009033},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6180436015129089},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6166921854019165},{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.6086987853050232},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.6057209372520447},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.5208687782287598},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.510417640209198},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4173424541950226},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3904009461402893},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.35108181834220886},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3351498246192932},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.09585648775100708}],"concepts":[{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.8755706548690796},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.8440793752670288},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6585419178009033},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6180436015129089},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6166921854019165},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.6086987853050232},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.6057209372520447},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.5208687782287598},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.510417640209198},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4173424541950226},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3904009461402893},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.35108181834220886},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3351498246192932},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.09585648775100708},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/00207160701294442","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701294442","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00545353v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00545353","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Computer Mathematics, 2008, 85 (03-04), pp.397-409. ⟨10.1080/00207160701294442⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:repositorium.sdum.uminho.pt:1822/17155","is_oa":true,"landing_page_url":"https://hdl.handle.net/1822/17155","pdf_url":null,"source":{"id":"https://openalex.org/S4306400354","display_name":"Reposit\u00f3riUM (Universidade do Minho)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99682543","host_organization_name":"University of Minho","host_organization_lineage":["https://openalex.org/I99682543"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:tara.tcd.ie:2262/45952","is_oa":false,"landing_page_url":"http://hdl.handle.net/2262/45952","pdf_url":null,"source":{"id":"https://openalex.org/S4306400387","display_name":"Trinity's Access to Research Output (TARA) (Trinity College Dublin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205274468","host_organization_name":"Trinity College Dublin","host_organization_lineage":["https://openalex.org/I205274468"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00545353v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00545353","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Computer Mathematics, 2008, 85 (03-04), pp.397-409. ⟨10.1080/00207160701294442⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.44999998807907104,"display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1508335918","https://openalex.org/W1748199557","https://openalex.org/W1875551406","https://openalex.org/W1965391256","https://openalex.org/W1976385924","https://openalex.org/W1987789634","https://openalex.org/W1991182684","https://openalex.org/W1994469568","https://openalex.org/W1997965167","https://openalex.org/W2043430160","https://openalex.org/W2048799772","https://openalex.org/W2062692049","https://openalex.org/W2088765246","https://openalex.org/W2118700449","https://openalex.org/W2123871098","https://openalex.org/W2294171487","https://openalex.org/W3029645440","https://openalex.org/W4240022917","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W1986602928","https://openalex.org/W2168617555","https://openalex.org/W1990909561","https://openalex.org/W2089015038","https://openalex.org/W202615542","https://openalex.org/W1983813429","https://openalex.org/W2058475249","https://openalex.org/W1971720918","https://openalex.org/W4388292758","https://openalex.org/W2102482069"],"abstract_inverted_index":{"Here":[0],"we":[1],"present":[2],"a":[3,44,61,66],"primal-dual":[4],"interior":[5],"point":[6],"nonmonotone":[7],"line":[8],"search":[9],"filter":[10,16],"method":[11,51],"for":[12,38],"nonlinear":[13],"programming.":[14],"The":[15],"relies":[17],"on":[18,57],"three":[19],"measures,":[20],"the":[21,23,26,30,39,50],"feasibility,":[22],"centrality":[24],"and":[25,33,42,60],"optimality":[27,31],"presented":[28],"in":[29],"conditions,":[32],"considers":[34],"relaxed":[35],"acceptability":[36],"criteria":[37],"step":[40],"size":[41],"includes":[43],"feasibility":[45],"restoration":[46],"phase.":[47],"Evaluation":[48],"of":[49],"has,":[52],"until":[53],"now,":[54],"been":[55],"made":[56],"small":[58],"problems":[59],"comparison":[62],"is":[63],"provided":[64],"with":[65],"merit":[67],"function":[68],"approach.":[69]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}