{"id":"https://openalex.org/W2946967476","doi":"https://doi.org/10.1007/s10589-019-00111-y","title":"Modified inexact Levenberg\u2013Marquardt methods for solving nonlinear least squares problems","display_name":"Modified inexact Levenberg\u2013Marquardt methods for solving nonlinear least squares problems","publication_year":2019,"publication_date":"2019-05-28","ids":{"openalex":"https://openalex.org/W2946967476","doi":"https://doi.org/10.1007/s10589-019-00111-y","mag":"2946967476"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-019-00111-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-019-00111-y","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/A5113115161","display_name":"Jifeng Bao","orcid":null},"institutions":[{"id":"https://openalex.org/I31847773","display_name":"Zhejiang Ocean University","ror":"https://ror.org/03mys6533","country_code":"CN","type":"education","lineage":["https://openalex.org/I31847773"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jifeng Bao","raw_affiliation_strings":["Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhoushan, 316022, Zhejiang, People\u2019s Republic of China","School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, People\u2019s Republic of China","School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhoushan, 316022, Zhejiang, People\u2019s Republic of China","institution_ids":["https://openalex.org/I31847773"]},{"raw_affiliation_string":"School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, People\u2019s Republic of China","institution_ids":["https://openalex.org/I31847773"]},{"raw_affiliation_string":"School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, People's Republic of China","institution_ids":["https://openalex.org/I31847773"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076706599","display_name":"Carisa Kwok Wai Yu","orcid":"https://orcid.org/0000-0002-0787-5382"},"institutions":[{"id":"https://openalex.org/I47605537","display_name":"The Hang Seng University of Hong Kong","ror":"https://ror.org/04fa64g55","country_code":"CN","type":"education","lineage":["https://openalex.org/I47605537"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["CN","HK"],"is_corresponding":false,"raw_author_name":"Carisa Kwok Wai Yu","raw_affiliation_strings":["Department of Mathematics and Statistics, The Hang Seng University of Hong Kong, Hong Kong, People\u2019s Republic of China","Department of Mathematics and Statistics, The Hang Seng University of Hong Kong, Hong Kong, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The Hang Seng University of Hong Kong, Hong Kong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I47605537","https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, The Hang Seng University of Hong Kong, Hong Kong, People's Republic of China","institution_ids":["https://openalex.org/I47605537","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030735491","display_name":"Jinhua Wang","orcid":"https://orcid.org/0000-0002-8209-9387"},"institutions":[{"id":"https://openalex.org/I55712492","display_name":"Zhejiang University of Technology","ror":"https://ror.org/02djqfd08","country_code":"CN","type":"education","lineage":["https://openalex.org/I55712492"]},{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinhua Wang","raw_affiliation_strings":["Department of Mathematics, Hangzhou Normal University, Hangzhou, 311121, People\u2019s Republic of China","Department of Mathematics, Zhejiang University of Technology, Hangzhou, 310032, People\u2019s Republic of China","Department of Mathematics, Zhejiang University of Technology, Hangzhou, 310032, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hangzhou Normal University, Hangzhou, 311121, People\u2019s Republic of China","institution_ids":["https://openalex.org/I163151501"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang University of Technology, Hangzhou, 310032, People\u2019s Republic of China","institution_ids":["https://openalex.org/I55712492"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang University of Technology, Hangzhou, 310032, People's Republic of China","institution_ids":["https://openalex.org/I55712492"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101868817","display_name":"Yaohua Hu","orcid":"https://orcid.org/0000-0001-6412-5804"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaohua Hu","raw_affiliation_strings":["Shenzhen Key Laboratory of Advanced Machine Learning and Applications, College of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, People\u2019s Republic of China","Shenzhen Key Laboratory of Advanced Machine Learning and Applications, College of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Shenzhen Key Laboratory of Advanced Machine Learning and Applications, College of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, People\u2019s Republic of China","institution_ids":["https://openalex.org/I180726961"]},{"raw_affiliation_string":"Shenzhen Key Laboratory of Advanced Machine Learning and Applications, College of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, People's Republic of China","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050520268","display_name":"Jen\u2010Chih Yao","orcid":"https://orcid.org/0000-0001-9041-3375"},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I4210126829","display_name":"China Medical University Hospital","ror":"https://ror.org/0368s4g32","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210126829"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jen-Chih Yao","raw_affiliation_strings":["Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung, Taiwan"],"affiliations":[{"raw_affiliation_string":"Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung, Taiwan","institution_ids":["https://openalex.org/I4210126829","https://openalex.org/I184693016"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5030735491"],"corresponding_institution_ids":["https://openalex.org/I163151501","https://openalex.org/I55712492"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2977,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.78058878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"74","issue":"2","first_page":"547","last_page":"582"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9977999925613403,"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":0.9977999925613403,"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":0.9901999831199646,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9866999983787537,"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/underdetermined-system","display_name":"Underdetermined system","score":0.8994535803794861},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8251897096633911},{"id":"https://openalex.org/keywords/levenberg\u2013marquardt-algorithm","display_name":"Levenberg\u2013Marquardt algorithm","score":0.7871075868606567},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.6255053281784058},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5350265502929688},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.458332359790802},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.45441895723342896},{"id":"https://openalex.org/keywords/non-linear-least-squares","display_name":"Non-linear least squares","score":0.43549495935440063},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4167509973049164},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37630322575569153},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32974153757095337},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1343323290348053},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.09606876969337463},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07686161994934082},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06784284114837646},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.06286376714706421},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.05480656027793884}],"concepts":[{"id":"https://openalex.org/C179690561","wikidata":"https://www.wikidata.org/wiki/Q4316110","display_name":"Underdetermined system","level":2,"score":0.8994535803794861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8251897096633911},{"id":"https://openalex.org/C87578567","wikidata":"https://www.wikidata.org/wiki/Q1426494","display_name":"Levenberg\u2013Marquardt algorithm","level":3,"score":0.7871075868606567},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.6255053281784058},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5350265502929688},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.458332359790802},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.45441895723342896},{"id":"https://openalex.org/C45923927","wikidata":"https://www.wikidata.org/wiki/Q3319230","display_name":"Non-linear least squares","level":3,"score":0.43549495935440063},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4167509973049164},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37630322575569153},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32974153757095337},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1343323290348053},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.09606876969337463},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07686161994934082},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06784284114837646},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.06286376714706421},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.05480656027793884},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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":2,"locations":[{"id":"doi:10.1007/s10589-019-00111-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-019-00111-y","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"},{"id":"pmh:oai:RePEc:spr:coopap:v:74:y:2019:i:2:d:10.1007_s10589-019-00111-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-019-00111-y","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4399999976158142}],"awards":[{"id":"https://openalex.org/G1243847590","display_name":null,"funder_award_id":"11601343","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1385070215","display_name":null,"funder_award_id":"11601344","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1523379423","display_name":null,"funder_award_id":"11771398","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3931090522","display_name":null,"funder_award_id":"UGC/FDS14/P03/14","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G4326909159","display_name":null,"funder_award_id":"11371325","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4341674223","display_name":null,"funder_award_id":"MOST 105-2115-M-039-002-MY3","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"},{"id":"https://openalex.org/G6194410621","display_name":null,"funder_award_id":"UGC/FDS14/P02/15","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W106246290","https://openalex.org/W391578156","https://openalex.org/W613054787","https://openalex.org/W658559791","https://openalex.org/W1594234351","https://openalex.org/W1966445187","https://openalex.org/W1967015850","https://openalex.org/W1969811075","https://openalex.org/W1971559451","https://openalex.org/W1976890616","https://openalex.org/W1991619142","https://openalex.org/W1998773443","https://openalex.org/W1998780272","https://openalex.org/W2004107252","https://openalex.org/W2010315317","https://openalex.org/W2011777324","https://openalex.org/W2023446959","https://openalex.org/W2044047732","https://openalex.org/W2045538552","https://openalex.org/W2055326668","https://openalex.org/W2056603712","https://openalex.org/W2057418187","https://openalex.org/W2061907550","https://openalex.org/W2064114733","https://openalex.org/W2068484625","https://openalex.org/W2082451773","https://openalex.org/W2082725151","https://openalex.org/W2085563112","https://openalex.org/W2086234764","https://openalex.org/W2087070363","https://openalex.org/W2087233269","https://openalex.org/W2093743237","https://openalex.org/W2094917659","https://openalex.org/W2099003992","https://openalex.org/W2106183012","https://openalex.org/W2107501462","https://openalex.org/W2118785781","https://openalex.org/W2122434654","https://openalex.org/W2127838862","https://openalex.org/W2139004160","https://openalex.org/W2140064412","https://openalex.org/W2160846482","https://openalex.org/W2236623899","https://openalex.org/W2256578114","https://openalex.org/W2314752190","https://openalex.org/W2334285086","https://openalex.org/W2336212496","https://openalex.org/W2343404102","https://openalex.org/W2398068802","https://openalex.org/W2509251148","https://openalex.org/W2595512563","https://openalex.org/W2610857016","https://openalex.org/W2798766386","https://openalex.org/W2952799384","https://openalex.org/W2963856360","https://openalex.org/W2986444355","https://openalex.org/W3029645440","https://openalex.org/W4242766606","https://openalex.org/W4293775970","https://openalex.org/W4302564868"],"related_works":["https://openalex.org/W2200018736","https://openalex.org/W2043560547","https://openalex.org/W2515666504","https://openalex.org/W4296785894","https://openalex.org/W2803578885","https://openalex.org/W2946967476","https://openalex.org/W3047313702","https://openalex.org/W2158149279","https://openalex.org/W4389505764","https://openalex.org/W2164422015"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}