{"id":"https://openalex.org/W2016298159","doi":"https://doi.org/10.1007/s10898-006-9117-x","title":"1.5-Q-superlinear convergence of an exterior-point method for constrained optimization","display_name":"1.5-Q-superlinear convergence of an exterior-point method for constrained optimization","publication_year":2006,"publication_date":"2006-12-05","ids":{"openalex":"https://openalex.org/W2016298159","doi":"https://doi.org/10.1007/s10898-006-9117-x","mag":"2016298159"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-006-9117-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9117-x","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global 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/A5052386639","display_name":"Igor Griva","orcid":"https://orcid.org/0000-0002-2291-233X"},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Igor Griva","raw_affiliation_strings":["Department of Mathematical Sciences and School of Computational Sciences, George Mason University, Fairfax, VA, 22030, USA","Department of Mathematical Sciences and School of Computational Sciences, George Mason University, Fairfax, USA 22030#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences and School of Computational Sciences, George Mason University, Fairfax, VA, 22030, USA","institution_ids":["https://openalex.org/I162714631"]},{"raw_affiliation_string":"Department of Mathematical Sciences and School of Computational Sciences, George Mason University, Fairfax, USA 22030#TAB#","institution_ids":["https://openalex.org/I162714631"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005158188","display_name":"Roman A. Polyak","orcid":"https://orcid.org/0009-0002-2030-5605"},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roman A. Polyak","raw_affiliation_strings":["Department of SEOR and Mathematical Sciences, George Mason University, Fairfax, VA, 22030, USA","Department of SEOR and Mathematical Sciences, George Mason University, Fairfax, USA 22030"],"affiliations":[{"raw_affiliation_string":"Department of SEOR and Mathematical Sciences, George Mason University, Fairfax, VA, 22030, USA","institution_ids":["https://openalex.org/I162714631"]},{"raw_affiliation_string":"Department of SEOR and Mathematical Sciences, George Mason University, Fairfax, USA 22030","institution_ids":["https://openalex.org/I162714631"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052386639"],"corresponding_institution_ids":["https://openalex.org/I162714631"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.09949749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"40","issue":"4","first_page":"679","last_page":"695"},"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":0.9973000288009644,"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/mathematics","display_name":"Mathematics","score":0.9386746883392334},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5986616611480713},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5780841708183289},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5535740852355957},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5172651410102844},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5063832998275757},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5009715557098389},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.466044545173645},{"id":"https://openalex.org/keywords/constrained-optimization-problem","display_name":"Constrained optimization problem","score":0.44462740421295166},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44025304913520813},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11279857158660889}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9386746883392334},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5986616611480713},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5780841708183289},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5535740852355957},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5172651410102844},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5063832998275757},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5009715557098389},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.466044545173645},{"id":"https://openalex.org/C2989514635","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization problem","level":3,"score":0.44462740421295166},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44025304913520813},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11279857158660889},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10898-006-9117-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9117-x","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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":13,"referenced_works":["https://openalex.org/W320808933","https://openalex.org/W1482453036","https://openalex.org/W1568288633","https://openalex.org/W2006005289","https://openalex.org/W2038435941","https://openalex.org/W2042360648","https://openalex.org/W2050310885","https://openalex.org/W2057624533","https://openalex.org/W2075998338","https://openalex.org/W2089015038","https://openalex.org/W2119857700","https://openalex.org/W2327853323","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2355999325","https://openalex.org/W4312614571","https://openalex.org/W2170850735","https://openalex.org/W2531178156","https://openalex.org/W2023650558","https://openalex.org/W2096295868","https://openalex.org/W23263483","https://openalex.org/W2354981309","https://openalex.org/W2013038594","https://openalex.org/W1527383447"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}