{"id":"https://openalex.org/W4309347845","doi":"https://doi.org/10.1007/s12190-022-01818-8","title":"Solving nonlinear equations with a direct Broyden method and its acceleration","display_name":"Solving nonlinear equations with a direct Broyden method and its acceleration","publication_year":2022,"publication_date":"2022-11-16","ids":{"openalex":"https://openalex.org/W4309347845","doi":"https://doi.org/10.1007/s12190-022-01818-8"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-022-01818-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-022-01818-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","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/A5052729255","display_name":"Huiping Cao","orcid":"https://orcid.org/0000-0001-7158-5956"},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huiping Cao","raw_affiliation_strings":["School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, 710048, China","School of Science, Xi'an Polytechnic University, Xi'an, 710048, China"],"raw_orcid":"https://orcid.org/0000-0001-7158-5956","affiliations":[{"raw_affiliation_string":"School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, 710048, China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"School of Science, Xi'an Polytechnic University, Xi'an, 710048, China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023857217","display_name":"Xiao\u2010Min An","orcid":"https://orcid.org/0000-0003-2279-545X"},"institutions":[{"id":"https://openalex.org/I4210110558","display_name":"Xi'an Technological University","ror":"https://ror.org/01t8prc81","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaomin An","raw_affiliation_strings":["School of Science, Xi\u2019an Technological University, Xi\u2019an, 710021, China","School of Science, Xi'an Technological University, Xi'an, 710021, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Xi\u2019an Technological University, Xi\u2019an, 710021, China","institution_ids":["https://openalex.org/I4210110558"]},{"raw_affiliation_string":"School of Science, Xi'an Technological University, Xi'an, 710021, China","institution_ids":["https://openalex.org/I4210110558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101949914","display_name":"Jing Han","orcid":"https://orcid.org/0000-0003-3696-7099"},"institutions":[{"id":"https://openalex.org/I119273862","display_name":"Central South University of Forestry and Technology","ror":"https://ror.org/02czw2k81","country_code":"CN","type":"education","lineage":["https://openalex.org/I119273862"]},{"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":"Jing Han","raw_affiliation_strings":["College of Science, Central South University of Forestry and Technology, Changsha, 410004, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, Central South University of Forestry and Technology, Changsha, 410004, China","institution_ids":["https://openalex.org/I119273862","https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052729255"],"corresponding_institution_ids":["https://openalex.org/I27599042"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3202,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54251409,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"69","issue":"2","first_page":"1917","last_page":"1944"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9872999787330627,"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/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.8571483492851257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8145126104354858},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5864992141723633},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5820537805557251},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5713410973548889},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5572754740715027},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.4961493909358978},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4928283989429474},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.48783615231513977},{"id":"https://openalex.org/keywords/quasi-newton-method","display_name":"Quasi-Newton method","score":0.4802016019821167},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4773730933666229},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4600932002067566},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.4352065920829773},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.363614022731781},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.29773229360580444},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17980098724365234},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.1694921851158142},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11740759015083313}],"concepts":[{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.8571483492851257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8145126104354858},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5864992141723633},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5820537805557251},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5713410973548889},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5572754740715027},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.4961493909358978},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4928283989429474},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.48783615231513977},{"id":"https://openalex.org/C114954040","wikidata":"https://www.wikidata.org/wiki/Q1476018","display_name":"Quasi-Newton method","level":4,"score":0.4802016019821167},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4773730933666229},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4600932002067566},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.4352065920829773},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.363614022731781},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.29773229360580444},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17980098724365234},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.1694921851158142},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11740759015083313},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/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/s12190-022-01818-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-022-01818-8","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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 Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5054848452","display_name":null,"funder_award_id":"2020JJ5960","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G6229104772","display_name":null,"funder_award_id":"2022JQ006","funder_id":"https://openalex.org/F4320324173","funder_display_name":"Natural Science Foundation of Shaanxi Province"},{"id":"https://openalex.org/G6531212673","display_name":null,"funder_award_id":"11701577","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8880384592","display_name":null,"funder_award_id":"2019JJ51002","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null},{"id":"https://openalex.org/F4320324173","display_name":"Natural Science Foundation of Shaanxi Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1991271057","https://openalex.org/W2012341322","https://openalex.org/W2015130920","https://openalex.org/W2020311513","https://openalex.org/W2032316963","https://openalex.org/W2035226238","https://openalex.org/W2043430160","https://openalex.org/W2056603712","https://openalex.org/W2080108722","https://openalex.org/W2090963365","https://openalex.org/W2105221302","https://openalex.org/W2112820497","https://openalex.org/W2149454052","https://openalex.org/W2166308223","https://openalex.org/W2313672321","https://openalex.org/W2405649773","https://openalex.org/W2523920835","https://openalex.org/W3001880540","https://openalex.org/W3012798594","https://openalex.org/W3023696268","https://openalex.org/W3102744735","https://openalex.org/W3118576835","https://openalex.org/W3120256427","https://openalex.org/W3122969566","https://openalex.org/W3126535000","https://openalex.org/W3197176902","https://openalex.org/W4200459016","https://openalex.org/W4211090047"],"related_works":["https://openalex.org/W1896162644","https://openalex.org/W3040723915","https://openalex.org/W1901133132","https://openalex.org/W2068966571","https://openalex.org/W2127159799","https://openalex.org/W2144504157","https://openalex.org/W2385824356","https://openalex.org/W2741623878","https://openalex.org/W2083618095","https://openalex.org/W3197573213"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
