{"id":"https://openalex.org/W1503393484","doi":"https://doi.org/10.1023/a:1008716329104","title":"Validation of an Augmented Lagrangian Algorithm with a Gauss-Newton Hessian Approximation Using a Set of Hard-Spheres Problems","display_name":"Validation of an Augmented Lagrangian Algorithm with a Gauss-Newton Hessian Approximation Using a Set of Hard-Spheres Problems","publication_year":2000,"publication_date":"2000-09-01","ids":{"openalex":"https://openalex.org/W1503393484","doi":"https://doi.org/10.1023/a:1008716329104","mag":"1503393484"},"language":"en","primary_location":{"id":"doi:10.1023/a:1008716329104","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008716329104","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/A5029757006","display_name":"Nata\u0161a Kreji\u0107","orcid":"https://orcid.org/0000-0003-3348-7233"},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]},{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["CZ","RS"],"is_corresponding":true,"raw_author_name":"Nata\u0161a Kreji\u0107","raw_affiliation_strings":["Institute of Mathematics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000, Novi Sad, Yugoslavia","Institute of Mathematics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Yugoslavia. natasa@unsim.im.ns.ac.yu#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000, Novi Sad, Yugoslavia","institution_ids":["https://openalex.org/I170726198","https://openalex.org/I4210120266"]},{"raw_affiliation_string":"Institute of Mathematics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21000 Novi Sad, Yugoslavia. natasa@unsim.im.ns.ac.yu#TAB#","institution_ids":["https://openalex.org/I170726198"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066019994","display_name":"J. M. Mart\u0131\u0301nez","orcid":"https://orcid.org/0000-0003-3331-368X"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Mario Mart\u00ednez","raw_affiliation_strings":["Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970, Campinas SP, Brazil","Department of Applied Mathematics IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970 Campinas SP, Brazil. martinez@ime.unicamp.br#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970, Campinas SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Department of Applied Mathematics IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970 Campinas SP, Brazil. martinez@ime.unicamp.br#TAB#","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112705297","display_name":"Margarida Pinheiro Mello","orcid":null},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Margarida Mello","raw_affiliation_strings":["Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970, Campinas SP, Brazil","Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970 Campinas SP, Brazil. margarid@ime.unicamp.br#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970, Campinas SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970 Campinas SP, Brazil. margarid@ime.unicamp.br#TAB#","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085437746","display_name":"Elvio A. Pilotta","orcid":null},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Elvio A. Pilotta","raw_affiliation_strings":["Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970, Campinas SP, Brazil","Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970 Campinas SP, Brazil. pilotta@ime.unicamp.br#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970, Campinas SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970 Campinas SP, Brazil. pilotta@ime.unicamp.br#TAB#","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029757006"],"corresponding_institution_ids":["https://openalex.org/I170726198","https://openalex.org/I4210120266"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.2841,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.91312799,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"3","first_page":"247","last_page":"263"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9993000030517578,"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/hessian-matrix","display_name":"Hessian matrix","score":0.8199154138565063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7970705628395081},{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.6708225011825562},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6252888441085815},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6136494874954224},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5678022503852844},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5292773842811584},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.5275784730911255},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.472600519657135},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4422313868999481},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3413073718547821},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10903561115264893},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06242179870605469}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8199154138565063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7970705628395081},{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.6708225011825562},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6252888441085815},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6136494874954224},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5678022503852844},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5292773842811584},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.5275784730911255},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.472600519657135},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4422313868999481},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3413073718547821},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10903561115264893},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06242179870605469},{"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:10.1023/a:1008716329104","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008716329104","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W290656398","https://openalex.org/W1502501036","https://openalex.org/W1575288039","https://openalex.org/W1885585144","https://openalex.org/W1965776043","https://openalex.org/W1994015146","https://openalex.org/W1995990042","https://openalex.org/W2027791819","https://openalex.org/W2042613327","https://openalex.org/W2053299192","https://openalex.org/W2084196626","https://openalex.org/W2092285919","https://openalex.org/W2142738245","https://openalex.org/W2148589597","https://openalex.org/W2999090137","https://openalex.org/W4293259454"],"related_works":["https://openalex.org/W2983297293","https://openalex.org/W2315802443","https://openalex.org/W4388964614","https://openalex.org/W2972343833","https://openalex.org/W2996136316","https://openalex.org/W2970432723","https://openalex.org/W1560140409","https://openalex.org/W2889643804","https://openalex.org/W2463007134","https://openalex.org/W2489086843"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
