{"id":"https://openalex.org/W2087015041","doi":"https://doi.org/10.1007/s10589-006-9007-7","title":"Stopping criteria for inner iterations in inexact potential reduction methods: a computational study","display_name":"Stopping criteria for inner iterations in inexact potential reduction methods: a computational study","publication_year":2007,"publication_date":"2007-02-21","ids":{"openalex":"https://openalex.org/W2087015041","doi":"https://doi.org/10.1007/s10589-006-9007-7","mag":"2087015041"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-006-9007-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-006-9007-7","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/A5025519046","display_name":"Sonia Cafieri","orcid":"https://orcid.org/0000-0002-4578-8394"},"institutions":[{"id":"https://openalex.org/I197809005","display_name":"University of Campania \"Luigi Vanvitelli\"","ror":"https://ror.org/02kqnpp86","country_code":"IT","type":"education","lineage":["https://openalex.org/I197809005"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"S. Cafieri","raw_affiliation_strings":["Department of Mathematics, Second University of Naples, via Vivaldi 43, I-81100, Caserta, Italy","Department of Mathematics, Second University of Naples, Caserta, Italy I-81100#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Second University of Naples, via Vivaldi 43, I-81100, Caserta, Italy","institution_ids":["https://openalex.org/I197809005"]},{"raw_affiliation_string":"Department of Mathematics, Second University of Naples, Caserta, Italy I-81100#TAB#","institution_ids":["https://openalex.org/I197809005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021854231","display_name":"Marco D\u2019Apuzzo","orcid":null},"institutions":[{"id":"https://openalex.org/I197809005","display_name":"University of Campania \"Luigi Vanvitelli\"","ror":"https://ror.org/02kqnpp86","country_code":"IT","type":"education","lineage":["https://openalex.org/I197809005"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. D\u2019Apuzzo","raw_affiliation_strings":["Department of Mathematics, Second University of Naples, via Vivaldi 43, I-81100, Caserta, Italy","Department of Mathematics, Second University of Naples, Caserta, Italy I-81100#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Second University of Naples, via Vivaldi 43, I-81100, Caserta, Italy","institution_ids":["https://openalex.org/I197809005"]},{"raw_affiliation_string":"Department of Mathematics, Second University of Naples, Caserta, Italy I-81100#TAB#","institution_ids":["https://openalex.org/I197809005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060944643","display_name":"Valentina De Simone","orcid":"https://orcid.org/0000-0002-3357-5252"},"institutions":[{"id":"https://openalex.org/I197809005","display_name":"University of Campania \"Luigi Vanvitelli\"","ror":"https://ror.org/02kqnpp86","country_code":"IT","type":"education","lineage":["https://openalex.org/I197809005"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"V. De Simone","raw_affiliation_strings":["Department of Mathematics, Second University of Naples, via Vivaldi 43, I-81100, Caserta, Italy","Department of Mathematics, Second University of Naples, Caserta, Italy I-81100#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Second University of Naples, via Vivaldi 43, I-81100, Caserta, Italy","institution_ids":["https://openalex.org/I197809005"]},{"raw_affiliation_string":"Department of Mathematics, Second University of Naples, Caserta, Italy I-81100#TAB#","institution_ids":["https://openalex.org/I197809005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044144663","display_name":"Daniela di Serafino","orcid":"https://orcid.org/0000-0001-8215-0771"},"institutions":[{"id":"https://openalex.org/I197809005","display_name":"University of Campania \"Luigi Vanvitelli\"","ror":"https://ror.org/02kqnpp86","country_code":"IT","type":"education","lineage":["https://openalex.org/I197809005"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"D. di Serafino","raw_affiliation_strings":["Department of Mathematics, Second University of Naples, via Vivaldi 43, I-81100, Caserta, Italy","Department of Mathematics, Second University of Naples, Caserta, Italy I-81100#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Second University of Naples, via Vivaldi 43, I-81100, Caserta, Italy","institution_ids":["https://openalex.org/I197809005"]},{"raw_affiliation_string":"Department of Mathematics, Second University of Naples, Caserta, Italy I-81100#TAB#","institution_ids":["https://openalex.org/I197809005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5025519046"],"corresponding_institution_ids":["https://openalex.org/I197809005"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5262,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.82427071,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"36","issue":"2-3","first_page":"165","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983999729156494,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9908000230789185,"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/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.934027910232544},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.7806299924850464},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.7246414422988892},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7000566124916077},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5479831099510193},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.48179739713668823},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4254709482192993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3409644365310669}],"concepts":[{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.934027910232544},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7806299924850464},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7246414422988892},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7000566124916077},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5479831099510193},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.48179739713668823},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4254709482192993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3409644365310669},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10589-006-9007-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-006-9007-7","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":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W34169854","https://openalex.org/W68185113","https://openalex.org/W203308545","https://openalex.org/W639861265","https://openalex.org/W1492690922","https://openalex.org/W1493498136","https://openalex.org/W1502684333","https://openalex.org/W1518039036","https://openalex.org/W1587861032","https://openalex.org/W1758063681","https://openalex.org/W1768849904","https://openalex.org/W1801355583","https://openalex.org/W1988796619","https://openalex.org/W1994720245","https://openalex.org/W2003550247","https://openalex.org/W2031691614","https://openalex.org/W2042622066","https://openalex.org/W2044815392","https://openalex.org/W2059226463","https://openalex.org/W2063675347","https://openalex.org/W2065909716","https://openalex.org/W2069671092","https://openalex.org/W2070419067","https://openalex.org/W2082909387","https://openalex.org/W2093180021","https://openalex.org/W2107501462","https://openalex.org/W2115211938","https://openalex.org/W2115329284","https://openalex.org/W2118431207","https://openalex.org/W2141870784","https://openalex.org/W2149454052","https://openalex.org/W2162057287","https://openalex.org/W2165375569","https://openalex.org/W2167401759","https://openalex.org/W2179625630","https://openalex.org/W2204863336","https://openalex.org/W2508453802","https://openalex.org/W4285719527","https://openalex.org/W6634937874"],"related_works":["https://openalex.org/W2266995929","https://openalex.org/W2011094784","https://openalex.org/W4285187070","https://openalex.org/W1523483560","https://openalex.org/W3161161632","https://openalex.org/W2087015041","https://openalex.org/W2357402179","https://openalex.org/W2380500135","https://openalex.org/W2134885593","https://openalex.org/W1921837409"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
