{"id":"https://openalex.org/W4403042270","doi":"https://doi.org/10.1137/23m1593000","title":"A Search-Free \\({O(1/{k}^{3/2})}\\) Homotopy Inexact Proximal-Newton Extragradient Algorithm for Monotone Variational Inequalities","display_name":"A Search-Free \\({O(1/{k}^{3/2})}\\) Homotopy Inexact Proximal-Newton Extragradient Algorithm for Monotone Variational Inequalities","publication_year":2024,"publication_date":"2024-10-01","ids":{"openalex":"https://openalex.org/W4403042270","doi":"https://doi.org/10.1137/23m1593000"},"language":"en","primary_location":{"id":"doi:10.1137/23m1593000","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1593000","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/A5004886820","display_name":"M. Marques Alves","orcid":"https://orcid.org/0000-0001-5734-6959"},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"M. Marques Alves","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade Federal de Santa Catarina, Florian\u00f3polis, Brazil, 88040-900"],"raw_orcid":"https://orcid.org/0000-0001-5734-6959","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Federal de Santa Catarina, Florian\u00f3polis, Brazil, 88040-900","institution_ids":["https://openalex.org/I4104125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039282707","display_name":"Jo\u00e3o M. Pereira","orcid":"https://orcid.org/0000-0003-3773-7623"},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"J. M. Pereira","raw_affiliation_strings":["IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-3773-7623","affiliations":[{"raw_affiliation_string":"IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I141883831"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053683082","display_name":"B. F. Svaiter","orcid":"https://orcid.org/0000-0003-3656-9883"},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"B. F. Svaiter","raw_affiliation_strings":["IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I141883831"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19149136,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"4","first_page":"3235","last_page":"3258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9995999932289124,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9940000176429749,"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/mathematics","display_name":"Mathematics","score":0.881810188293457},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.8723174333572388},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.8075949549674988},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.686012327671051},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5383116006851196},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5008761882781982},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4343263506889343},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.407111257314682},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35595983266830444},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2474391758441925},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10753840208053589},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07880949974060059}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.881810188293457},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.8723174333572388},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.8075949549674988},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.686012327671051},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5383116006851196},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5008761882781982},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4343263506889343},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.407111257314682},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35595983266830444},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2474391758441925},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10753840208053589},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07880949974060059},{"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":1,"locations":[{"id":"doi:10.1137/23m1593000","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1593000","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6800000071525574}],"awards":[{"id":"https://openalex.org/G1386968359","display_name":null,"funder_award_id":"308036/2021-2","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G502176423","display_name":null,"funder_award_id":"311300/2020-0","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G8330101305","display_name":null,"funder_award_id":"430868/2018-9","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W163258351","https://openalex.org/W1632601927","https://openalex.org/W1966953121","https://openalex.org/W1977109023","https://openalex.org/W2009941369","https://openalex.org/W2018850201","https://openalex.org/W2043093325","https://openalex.org/W2055467852","https://openalex.org/W2068484625","https://openalex.org/W2097897435","https://openalex.org/W2134656178","https://openalex.org/W2138216979","https://openalex.org/W2808862920","https://openalex.org/W2901838001","https://openalex.org/W2962824898","https://openalex.org/W2964030359","https://openalex.org/W3041815334","https://openalex.org/W3135366348","https://openalex.org/W4249513058","https://openalex.org/W4301791716"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2909053289","https://openalex.org/W829267240","https://openalex.org/W1154119719","https://openalex.org/W3131922696","https://openalex.org/W2963936214","https://openalex.org/W4301895170","https://openalex.org/W2104243281","https://openalex.org/W2085771669","https://openalex.org/W2383497899"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}