{"id":"https://openalex.org/W2088422447","doi":"https://doi.org/10.1007/s10589-007-9095-z","title":"Dynamic updates of the barrier parameter in primal-dual methods for nonlinear programming","display_name":"Dynamic updates of the barrier parameter in primal-dual methods for nonlinear programming","publication_year":2007,"publication_date":"2007-10-22","ids":{"openalex":"https://openalex.org/W2088422447","doi":"https://doi.org/10.1007/s10589-007-9095-z","mag":"2088422447"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-007-9095-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9095-z","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","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/A5074795044","display_name":"Paul Armand","orcid":"https://orcid.org/0000-0002-8821-5799"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Paul Armand","raw_affiliation_strings":["Universit\u00e9 de Limoges, Laboratoire XLIM-UMR CNRS 6172, Limoges, France","Universit\u00e9 de Limoges, Laboratoire XLIM, UMR-CNRS 6172, Limoges, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Limoges, Laboratoire XLIM-UMR CNRS 6172, Limoges, France","institution_ids":["https://openalex.org/I65806277","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 de Limoges, Laboratoire XLIM, UMR-CNRS 6172, Limoges, France#TAB#","institution_ids":["https://openalex.org/I65806277","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023685553","display_name":"Jo\u00ebl Benoist","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jo\u00ebl Benoist","raw_affiliation_strings":["Universit\u00e9 de Limoges, Laboratoire XLIM-UMR CNRS 6172, Limoges, France","Universit\u00e9 de Limoges, Laboratoire XLIM, UMR-CNRS 6172, Limoges, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Limoges, Laboratoire XLIM-UMR CNRS 6172, Limoges, France","institution_ids":["https://openalex.org/I65806277","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 de Limoges, Laboratoire XLIM, UMR-CNRS 6172, Limoges, France#TAB#","institution_ids":["https://openalex.org/I65806277","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027758717","display_name":"Dominique Orban","orcid":"https://orcid.org/0000-0002-8017-7687"},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dominique Orban","raw_affiliation_strings":["Ecole Polytechnique de Montr\u00e9al, Montr\u00e9al, Canada","Ecole Polytechnique de Montreal , Montreal , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique de Montr\u00e9al, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"Ecole Polytechnique de Montreal , Montreal , Canada","institution_ids":["https://openalex.org/I45683168"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074795044"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I65806277"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.0523,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.91038506,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"41","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":0.9973999857902527,"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":0.9973000288009644,"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/line-search","display_name":"Line search","score":0.7098445892333984},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.6882849335670471},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.591246485710144},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5829610824584961},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.566511332988739},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5510825514793396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5483837127685547},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.49492210149765015},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.49196764826774597},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.49121803045272827},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.4856085181236267},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4693528115749359},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4616924524307251},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.44052237272262573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4399489462375641},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4304749071598053},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.42415690422058105},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3702198565006256},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.25146782398223877},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.08689501881599426},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.08245187997817993}],"concepts":[{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.7098445892333984},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.6882849335670471},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.591246485710144},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5829610824584961},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.566511332988739},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5510825514793396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5483837127685547},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.49492210149765015},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.49196764826774597},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.49121803045272827},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.4856085181236267},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4693528115749359},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4616924524307251},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.44052237272262573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4399489462375641},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4304749071598053},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.42415690422058105},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3702198565006256},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.25146782398223877},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08689501881599426},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.08245187997817993},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","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},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":2,"locations":[{"id":"doi:10.1007/s10589-007-9095-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9095-z","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:publications.polymtl.ca:21188","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/21188/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1497494571","https://openalex.org/W1508335918","https://openalex.org/W1579057532","https://openalex.org/W1588059640","https://openalex.org/W1669104078","https://openalex.org/W1956889497","https://openalex.org/W1974153211","https://openalex.org/W1976831027","https://openalex.org/W1982269962","https://openalex.org/W1989239234","https://openalex.org/W1991182684","https://openalex.org/W2014746566","https://openalex.org/W2083431695","https://openalex.org/W2085137170","https://openalex.org/W2086867325","https://openalex.org/W2123871098","https://openalex.org/W2124630750","https://openalex.org/W2131847826","https://openalex.org/W2143476164","https://openalex.org/W2149454052","https://openalex.org/W2326806701","https://openalex.org/W2487584502","https://openalex.org/W4206097460"],"related_works":["https://openalex.org/W2350788688","https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W2387535608","https://openalex.org/W1985487460","https://openalex.org/W2380062341","https://openalex.org/W2026900827","https://openalex.org/W2358591430","https://openalex.org/W2031390949","https://openalex.org/W2799975713"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
