{"id":"https://openalex.org/W4310114179","doi":"https://doi.org/10.1007/s40314-022-02119-3","title":"Fixed-point accelerated iterative method to solve nonlinear matrix equation $$X - \\sum \\limits _{i = 1}^m {A_i^*{X^{ - 1}}{A_i} = Q^*}$$","display_name":"Fixed-point accelerated iterative method to solve nonlinear matrix equation $$X - \\sum \\limits _{i = 1}^m {A_i^*{X^{ - 1}}{A_i} = Q^*}$$","publication_year":2022,"publication_date":"2022-11-28","ids":{"openalex":"https://openalex.org/W4310114179","doi":"https://doi.org/10.1007/s40314-022-02119-3"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-022-02119-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-02119-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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 and Applied Mathematics","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/A5100359025","display_name":"Tong Li","orcid":"https://orcid.org/0000-0002-4343-703X"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tong Li","raw_affiliation_strings":["College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People's Republic of China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039842246","display_name":"Jingjing Peng","orcid":"https://orcid.org/0000-0001-9815-163X"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jingjing Peng","raw_affiliation_strings":["College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0001-9815-163X","affiliations":[{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People's Republic of China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114254539","display_name":"Zhenyun Peng","orcid":null},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenyun Peng","raw_affiliation_strings":["College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People's Republic of China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030043092","display_name":"Zengao Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zengao Tang","raw_affiliation_strings":["College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People's Republic of China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029252485","display_name":"Yong-Shen Zhang","orcid":"https://orcid.org/0009-0001-2960-9544"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongshen Zhang","raw_affiliation_strings":["College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People\u2019s Republic of China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"College of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, 541004, People's Republic of China","institution_ids":["https://openalex.org/I5343935"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039842246"],"corresponding_institution_ids":["https://openalex.org/I5343935"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.2653,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56899333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"41","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9948999881744385,"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":0.9944000244140625,"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/mathematics","display_name":"Mathematics","score":0.6479405164718628},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5875567197799683},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5866039991378784},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5487266182899475},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.539781928062439},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5339568853378296},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4998922348022461},{"id":"https://openalex.org/keywords/fixed-point-iteration","display_name":"Fixed-point iteration","score":0.48004448413848877},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.45155298709869385},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4431005120277405},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36435604095458984},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3422320485115051},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3263928294181824},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18688082695007324},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10441538691520691},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09072372317314148}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6479405164718628},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5875567197799683},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5866039991378784},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5487266182899475},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.539781928062439},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5339568853378296},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4998922348022461},{"id":"https://openalex.org/C157449380","wikidata":"https://www.wikidata.org/wiki/Q1030759","display_name":"Fixed-point iteration","level":3,"score":0.48004448413848877},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.45155298709869385},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4431005120277405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36435604095458984},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3422320485115051},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3263928294181824},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18688082695007324},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10441538691520691},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09072372317314148},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-022-02119-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-02119-3","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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 and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5799999833106995}],"awards":[{"id":"https://openalex.org/G8139316251","display_name":"\u591a\u91cd\u7ea6\u675f\u6761\u4ef6\u4e0b\u77e9\u9635\u6700\u4f18\u5316\u95ee\u9898\u7684\u6709\u6548\u7b97\u6cd5\u7814\u7a76","funder_award_id":"11961012","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":17,"referenced_works":["https://openalex.org/W127618328","https://openalex.org/W1479986324","https://openalex.org/W1504052111","https://openalex.org/W1533295384","https://openalex.org/W1582102095","https://openalex.org/W1974386380","https://openalex.org/W1976988880","https://openalex.org/W1987598005","https://openalex.org/W2057807012","https://openalex.org/W2063959296","https://openalex.org/W2145364632","https://openalex.org/W2160664904","https://openalex.org/W2515858796","https://openalex.org/W2766342763","https://openalex.org/W2809901140","https://openalex.org/W3012539387","https://openalex.org/W4214938229"],"related_works":["https://openalex.org/W2147776645","https://openalex.org/W2122094047","https://openalex.org/W399006150","https://openalex.org/W2049306475","https://openalex.org/W4292324088","https://openalex.org/W2027835668","https://openalex.org/W2997140122","https://openalex.org/W4362700221","https://openalex.org/W2403877097","https://openalex.org/W3032898267"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}