{"id":"https://openalex.org/W2028578744","doi":"https://doi.org/10.1007/s11075-006-9015-9","title":"An exponential regula falsi method for solving nonlinear equations","display_name":"An exponential regula falsi method for solving nonlinear equations","publication_year":2006,"publication_date":"2006-03-02","ids":{"openalex":"https://openalex.org/W2028578744","doi":"https://doi.org/10.1007/s11075-006-9015-9","mag":"2028578744"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-006-9015-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-006-9015-9","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5021351830","display_name":"Jinhai Chen","orcid":"https://orcid.org/0000-0002-7826-0414"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]},{"id":"https://openalex.org/I4210118538","display_name":"University of Petroleum","ror":"https://ror.org/02em1tr51","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210118538"]},{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN","HK","ID"],"is_corresponding":true,"raw_author_name":"Jinhai Chen","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong","School of Mathematics and Computational Sciences, University of Petroleum, Dongying, 257061, Shandong Province, People's Republic of China","Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong","School of Mathematics and Computational Sciences, University of Petroleum, Dongying, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"School of Mathematics and Computational Sciences, University of Petroleum, Dongying, 257061, Shandong Province, People's Republic of China","institution_ids":["https://openalex.org/I4210118538","https://openalex.org/I4210162190"]},{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"School of Mathematics and Computational Sciences, University of Petroleum, Dongying, People's Republic of China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100770257","display_name":"Weiguo Li","orcid":"https://orcid.org/0000-0002-4627-4950"},"institutions":[{"id":"https://openalex.org/I4210118538","display_name":"University of Petroleum","ror":"https://ror.org/02em1tr51","country_code":"ID","type":"education","lineage":["https://openalex.org/I4210118538"]},{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN","ID"],"is_corresponding":false,"raw_author_name":"Weiguo Li","raw_affiliation_strings":["School of Mathematics and Computational Sciences, University of Petroleum, Dongying, 257061, Shandong Province, People's Republic of China","School of Mathematics and Computational Sciences, University of Petroleum, Dongying, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Sciences, University of Petroleum, Dongying, 257061, Shandong Province, People's Republic of China","institution_ids":["https://openalex.org/I4210118538","https://openalex.org/I4210162190"]},{"raw_affiliation_string":"School of Mathematics and Computational Sciences, University of Petroleum, Dongying, People's Republic of China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021351830"],"corresponding_institution_ids":["https://openalex.org/I14243506","https://openalex.org/I4210118538","https://openalex.org/I4210162190"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.8607,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.71843051,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"41","issue":"4","first_page":"327","last_page":"338"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","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/T12661","display_name":"Iterative Methods for Nonlinear Equations","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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9861000180244446,"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":0.9717000126838684,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8686880469322205},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6665555238723755},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6492581367492676},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6445780396461487},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.64363032579422},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.6255196332931519},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.5088748931884766},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4993627071380615},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4930817782878876},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4898912310600281},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.48535504937171936},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4757520854473114},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4611521065235138},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.205889493227005},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12544280290603638},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05666723847389221},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.055528879165649414}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8686880469322205},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6665555238723755},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6492581367492676},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6445780396461487},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.64363032579422},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.6255196332931519},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.5088748931884766},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4993627071380615},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4930817782878876},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4898912310600281},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48535504937171936},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4757520854473114},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4611521065235138},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.205889493227005},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12544280290603638},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05666723847389221},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.055528879165649414},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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:10.1007/s11075-006-9015-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-006-9015-9","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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":14,"referenced_works":["https://openalex.org/W112273107","https://openalex.org/W1550563201","https://openalex.org/W2011338855","https://openalex.org/W2018534948","https://openalex.org/W2019499439","https://openalex.org/W2039120927","https://openalex.org/W2048632019","https://openalex.org/W2057360542","https://openalex.org/W2073556275","https://openalex.org/W2090963365","https://openalex.org/W2094640653","https://openalex.org/W2150639994","https://openalex.org/W2478091498","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2350788688","https://openalex.org/W2358591430","https://openalex.org/W2103912232","https://openalex.org/W2031390949","https://openalex.org/W2026900827","https://openalex.org/W3094698614","https://openalex.org/W1964267519","https://openalex.org/W2064372363","https://openalex.org/W3180920337","https://openalex.org/W3140142921"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}