{"id":"https://openalex.org/W2074191451","doi":"https://doi.org/10.1007/s11590-013-0678-6","title":"A modified nonmonotone BFGS algorithm for solving smooth nonlinear equations","display_name":"A modified nonmonotone BFGS algorithm for solving smooth nonlinear equations","publication_year":2013,"publication_date":"2013-07-25","ids":{"openalex":"https://openalex.org/W2074191451","doi":"https://doi.org/10.1007/s11590-013-0678-6","mag":"2074191451"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-013-0678-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-013-0678-6","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/A5027095108","display_name":"Zhong Wan","orcid":"https://orcid.org/0000-0003-3652-2460"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhong Wan","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, 410083, People\u2019s Republic of China","central south university"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, 410083, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"central south university","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100401989","display_name":"Yu Chen","orcid":"https://orcid.org/0000-0002-0004-9571"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, 410083, People\u2019s Republic of China","central south university"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, 410083, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"central south university","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101542273","display_name":"Shuai Huang","orcid":"https://orcid.org/0000-0002-7551-8387"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Huang","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, 410083, People\u2019s Republic of China","central south university"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, 410083, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"central south university","institution_ids":[]}]},{"author_position":"last","author":{"id":null,"display_name":"Dongdong Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongdong Feng","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, 410083, People\u2019s Republic of China","central south university"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, 410083, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"central south university","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027095108"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.7628,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.92941886,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"8","issue":"6","first_page":"1845","last_page":"1860"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"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":0.9990000128746033,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9941999912261963,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.9397909641265869},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.7271535396575928},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5578925609588623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46971574425697327},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4689564108848572},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4223301410675049},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40250563621520996},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39879485964775085},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20071032643318176},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08644154667854309}],"concepts":[{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.9397909641265869},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.7271535396575928},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5578925609588623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46971574425697327},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4689564108848572},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4223301410675049},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40250563621520996},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39879485964775085},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20071032643318176},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08644154667854309},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"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:10.1007/s11590-013-0678-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-013-0678-6","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W186874397","https://openalex.org/W1964934933","https://openalex.org/W1966323145","https://openalex.org/W1968932160","https://openalex.org/W1991271057","https://openalex.org/W1991591558","https://openalex.org/W1993453088","https://openalex.org/W2005635176","https://openalex.org/W2010088179","https://openalex.org/W2022787386","https://openalex.org/W2032316963","https://openalex.org/W2053116529","https://openalex.org/W2056065445","https://openalex.org/W2064217481","https://openalex.org/W2067207573","https://openalex.org/W2118700449","https://openalex.org/W2123778266","https://openalex.org/W2136317623","https://openalex.org/W2143476164","https://openalex.org/W2167137033","https://openalex.org/W4206097460"],"related_works":["https://openalex.org/W2016852760","https://openalex.org/W1972403393","https://openalex.org/W3078710903","https://openalex.org/W2787890441","https://openalex.org/W2050511877","https://openalex.org/W3114286735","https://openalex.org/W2960088919","https://openalex.org/W3128946703","https://openalex.org/W2375120501","https://openalex.org/W4311361601"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}