{"id":"https://openalex.org/W4387373788","doi":"https://doi.org/10.1007/s11075-023-01649-z","title":"Modified Newton-PBS method for solving a class of complex symmetric nonlinear systems","display_name":"Modified Newton-PBS method for solving a class of complex symmetric nonlinear systems","publication_year":2023,"publication_date":"2023-10-05","ids":{"openalex":"https://openalex.org/W4387373788","doi":"https://doi.org/10.1007/s11075-023-01649-z"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-023-01649-z","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s11075-023-01649-z","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/A5100320696","display_name":"Yuanyuan Zhang","orcid":"https://orcid.org/0000-0003-4207-561X"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanyuan Zhang","raw_affiliation_strings":["School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People\u2019s Republic of China","School of Mathematics, China University of Mining and Technology, 221116, Jiangsu, Xuzhou, People\u2019s Republic of China","School of Mathematics, China University of Mining and Technology, 221116, Jiangsu, Xuzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, 221116, Jiangsu, Xuzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I25757504"]},{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, 221116, Jiangsu, Xuzhou, People's Republic of China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061711970","display_name":"Qingbiao Wu","orcid":"https://orcid.org/0000-0003-2706-6264"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qingbiao Wu","raw_affiliation_strings":["School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People\u2019s Republic of China","School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0003-2706-6264","affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People's Republic of China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007310625","display_name":"Yao Xiao","orcid":"https://orcid.org/0000-0002-1276-5727"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yao Xiao","raw_affiliation_strings":["School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People\u2019s Republic of China","School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People's Republic of China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023806311","display_name":"Zhe-Wei Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhewei Xie","raw_affiliation_strings":["School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People\u2019s Republic of China","School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"School of Mathematical Science, Zhejiang University, 310027, Zhejiang, Hangzhou, People's Republic of China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061711970"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19742535,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"96","issue":"1","first_page":"333","last_page":"368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9984999895095825,"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":0.9926000237464905,"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/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.7567901611328125},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.7050790786743164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6851577758789062},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6731081604957581},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6372713446617126},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6025241613388062},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5979366898536682},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.589248538017273},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.49834513664245605},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4942016899585724},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4792628288269043},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4429016709327698},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.4400598704814911},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4145752191543579},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31152114272117615},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18722379207611084},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06903591752052307}],"concepts":[{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.7567901611328125},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.7050790786743164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6851577758789062},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6731081604957581},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6372713446617126},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6025241613388062},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5979366898536682},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.589248538017273},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.49834513664245605},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4942016899585724},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4792628288269043},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4429016709327698},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.4400598704814911},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4145752191543579},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31152114272117615},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18722379207611084},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06903591752052307},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/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/s11075-023-01649-z","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s11075-023-01649-z","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":[{"id":"https://openalex.org/G5923961107","display_name":null,"funder_award_id":"12271479","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1506342804","https://openalex.org/W1979792192","https://openalex.org/W2002102128","https://openalex.org/W2007526112","https://openalex.org/W2009168150","https://openalex.org/W2019346195","https://openalex.org/W2025367200","https://openalex.org/W2027533289","https://openalex.org/W2034236710","https://openalex.org/W2037939967","https://openalex.org/W2045109373","https://openalex.org/W2049726926","https://openalex.org/W2055033814","https://openalex.org/W2056383401","https://openalex.org/W2084740841","https://openalex.org/W2088456940","https://openalex.org/W2107501462","https://openalex.org/W2133437030","https://openalex.org/W2141870784","https://openalex.org/W2148733093","https://openalex.org/W2153227007","https://openalex.org/W2159336103","https://openalex.org/W2164050538","https://openalex.org/W2168999396","https://openalex.org/W2171303908","https://openalex.org/W2203448884","https://openalex.org/W2302791661","https://openalex.org/W2550408824","https://openalex.org/W2551573654","https://openalex.org/W2555256450","https://openalex.org/W2599796627","https://openalex.org/W2610466282","https://openalex.org/W2612491337","https://openalex.org/W2613865800","https://openalex.org/W2736605483","https://openalex.org/W2760364296","https://openalex.org/W2790436055","https://openalex.org/W2800453741","https://openalex.org/W2809934364","https://openalex.org/W2904487993","https://openalex.org/W2922194003","https://openalex.org/W2994935154","https://openalex.org/W3011022100","https://openalex.org/W3033100405","https://openalex.org/W3131801373","https://openalex.org/W3143491922","https://openalex.org/W3153697092","https://openalex.org/W3200418690","https://openalex.org/W3205109251","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2350788688","https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W2387535608","https://openalex.org/W1985487460","https://openalex.org/W2083618095","https://openalex.org/W2741623878","https://openalex.org/W2380062341","https://openalex.org/W1901133132","https://openalex.org/W2026900827"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-02-06T02:01:19.302388","created_date":"2025-10-10T00:00:00"}
