{"id":"https://openalex.org/W2995113061","doi":"https://doi.org/10.1007/s10107-019-01454-4","title":"On the behavior of Lagrange multipliers in convex and nonconvex infeasible interior point methods","display_name":"On the behavior of Lagrange multipliers in convex and nonconvex infeasible interior point methods","publication_year":2019,"publication_date":"2019-12-21","ids":{"openalex":"https://openalex.org/W2995113061","doi":"https://doi.org/10.1007/s10107-019-01454-4","mag":"2995113061"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-019-01454-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-019-01454-4","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5045269430","display_name":"Gabriel Haeser","orcid":"https://orcid.org/0000-0002-1195-3347"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]},{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["BR","US"],"is_corresponding":true,"raw_author_name":"Gabriel Haeser","raw_affiliation_strings":["Department of Applied Mathematics, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, SP, Brazil","Department of Management Science and Engineering, Stanford University, Stanford, CA, 94305, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, SP, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Department of Management Science and Engineering, Stanford University, Stanford, CA, 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081468859","display_name":"Oliver Hinder","orcid":"https://orcid.org/0000-0002-5077-0359"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oliver Hinder","raw_affiliation_strings":["Department of Management Science and Engineering, Stanford University, Stanford, CA, 94305, USA"],"raw_orcid":"https://orcid.org/0000-0002-5077-0359","affiliations":[{"raw_affiliation_string":"Department of Management Science and Engineering, Stanford University, Stanford, CA, 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041526408","display_name":"Yinyu Ye","orcid":"https://orcid.org/0009-0001-3239-2622"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yinyu Ye","raw_affiliation_strings":["Department of Management Science and Engineering, Stanford University, Stanford, CA, 94305, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management Science and Engineering, Stanford University, Stanford, CA, 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045269430"],"corresponding_institution_ids":["https://openalex.org/I17974374","https://openalex.org/I97018004"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.6223,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.83371665,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"186","issue":"1-2","first_page":"257","last_page":"288"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9937000274658203,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.949400007724762,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.8719712495803833},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8293352127075195},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.7907512187957764},{"id":"https://openalex.org/keywords/limit-point","display_name":"Limit point","score":0.7041535377502441},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6112145185470581},{"id":"https://openalex.org/keywords/constraint-algorithm","display_name":"Constraint algorithm","score":0.5985081195831299},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.553722083568573},{"id":"https://openalex.org/keywords/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.5482720136642456},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.529301643371582},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5058683753013611},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4967876076698303},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.43476641178131104},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14859294891357422}],"concepts":[{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.8719712495803833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8293352127075195},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.7907512187957764},{"id":"https://openalex.org/C63548660","wikidata":"https://www.wikidata.org/wiki/Q858223","display_name":"Limit point","level":2,"score":0.7041535377502441},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6112145185470581},{"id":"https://openalex.org/C15980293","wikidata":"https://www.wikidata.org/wiki/Q5164368","display_name":"Constraint algorithm","level":3,"score":0.5985081195831299},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.553722083568573},{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.5482720136642456},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.529301643371582},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5058683753013611},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4967876076698303},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.43476641178131104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14859294891357422},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-019-01454-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-019-01454-4","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4891547815","display_name":null,"funder_award_id":"2013/05475-7","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G5525191642","display_name":null,"funder_award_id":"2016/02092-8","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W21055737","https://openalex.org/W67212155","https://openalex.org/W1573409602","https://openalex.org/W1596877211","https://openalex.org/W1597615673","https://openalex.org/W1674199609","https://openalex.org/W1918816242","https://openalex.org/W1956889497","https://openalex.org/W1966000604","https://openalex.org/W1969294136","https://openalex.org/W1970946112","https://openalex.org/W1976385924","https://openalex.org/W1991359458","https://openalex.org/W2009941369","https://openalex.org/W2022004439","https://openalex.org/W2041563548","https://openalex.org/W2041684917","https://openalex.org/W2044291387","https://openalex.org/W2049219350","https://openalex.org/W2050897335","https://openalex.org/W2051384161","https://openalex.org/W2069612911","https://openalex.org/W2081019385","https://openalex.org/W2083431695","https://openalex.org/W2086867325","https://openalex.org/W2093903024","https://openalex.org/W2094161173","https://openalex.org/W2094214271","https://openalex.org/W2094757704","https://openalex.org/W2112838397","https://openalex.org/W2121953083","https://openalex.org/W2123871098","https://openalex.org/W2125410188","https://openalex.org/W2130633138","https://openalex.org/W2144582354","https://openalex.org/W2227855362","https://openalex.org/W2327853323","https://openalex.org/W2477824598","https://openalex.org/W2781490486","https://openalex.org/W2784166211","https://openalex.org/W2796766994","https://openalex.org/W3029645440","https://openalex.org/W3105558219","https://openalex.org/W4249513058"],"related_works":["https://openalex.org/W4313491493","https://openalex.org/W2024837890","https://openalex.org/W4381489587","https://openalex.org/W4299713359","https://openalex.org/W4244338775","https://openalex.org/W4379919368","https://openalex.org/W2806604749","https://openalex.org/W3173427300","https://openalex.org/W2995113061","https://openalex.org/W2739227630"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-12-26T00:00:00"}