{"id":"https://openalex.org/W4417120292","doi":"https://doi.org/10.1007/s12190-025-02676-w","title":"An extended matrix splitting iteration method for solving the generalized absolute value equation with its applications","display_name":"An extended matrix splitting iteration method for solving the generalized absolute value equation with its applications","publication_year":2025,"publication_date":"2025-12-08","ids":{"openalex":"https://openalex.org/W4417120292","doi":"https://doi.org/10.1007/s12190-025-02676-w"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-025-02676-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02676-w","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/A5032001037","display_name":"Dongmei Yu","orcid":"https://orcid.org/0009-0008-9730-5914"},"institutions":[{"id":"https://openalex.org/I176808543","display_name":"Liaoning Technical University","ror":"https://ror.org/01n2bd587","country_code":"CN","type":"education","lineage":["https://openalex.org/I176808543"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dongmei Yu","raw_affiliation_strings":["Institute for Optimization and Decision Analytics & College of Science, Liaoning Technical University, Fuxin, 123000, P.R. China","School of Business Administration, Liaoning Technical University, Huludao, 125105, P.R. China"],"affiliations":[{"raw_affiliation_string":"Institute for Optimization and Decision Analytics & College of Science, Liaoning Technical University, Fuxin, 123000, P.R. China","institution_ids":["https://openalex.org/I176808543"]},{"raw_affiliation_string":"School of Business Administration, Liaoning Technical University, Huludao, 125105, P.R. China","institution_ids":["https://openalex.org/I176808543"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069121746","display_name":"Yifei Yuan","orcid":null},"institutions":[{"id":"https://openalex.org/I176808543","display_name":"Liaoning Technical University","ror":"https://ror.org/01n2bd587","country_code":"CN","type":"education","lineage":["https://openalex.org/I176808543"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yifei Yuan","raw_affiliation_strings":["Institute for Optimization and Decision Analytics & College of Science, Liaoning Technical University, Fuxin, 123000, P.R. China","School of Business Administration, Liaoning Technical University, Huludao, 125105, P.R. China"],"affiliations":[{"raw_affiliation_string":"Institute for Optimization and Decision Analytics & College of Science, Liaoning Technical University, Fuxin, 123000, P.R. China","institution_ids":["https://openalex.org/I176808543"]},{"raw_affiliation_string":"School of Business Administration, Liaoning Technical University, Huludao, 125105, P.R. China","institution_ids":["https://openalex.org/I176808543"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076646271","display_name":"Cairong Chen","orcid":"https://orcid.org/0000-0002-2116-363X"},"institutions":[{"id":"https://openalex.org/I111753288","display_name":"Fujian Normal University","ror":"https://ror.org/020azk594","country_code":"CN","type":"education","lineage":["https://openalex.org/I111753288"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cairong Chen","raw_affiliation_strings":["School of Mathematics and Statistics & Key Laboratory of Analytical Mathematics and Applications (Ministry of Education) & Fujian Provincial Key Laboratory of Statistics and Artificial Intelligence, Fujian Normal University, Fuzhou, 350117, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics & Key Laboratory of Analytical Mathematics and Applications (Ministry of Education) & Fujian Provincial Key Laboratory of Statistics and Artificial Intelligence, Fujian Normal University, Fuzhou, 350117, P.R. China","institution_ids":["https://openalex.org/I111753288"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101439947","display_name":"Xuehua Li","orcid":"https://orcid.org/0000-0003-3924-0987"},"institutions":[{"id":"https://openalex.org/I111753288","display_name":"Fujian Normal University","ror":"https://ror.org/020azk594","country_code":"CN","type":"education","lineage":["https://openalex.org/I111753288"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuehua Li","raw_affiliation_strings":["School of Mathematics and Statistics & Key Laboratory of Analytical Mathematics and Applications (Ministry of Education) & Fujian Provincial Key Laboratory of Statistics and Artificial Intelligence, Fujian Normal University, Fuzhou, 350117, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics & Key Laboratory of Analytical Mathematics and Applications (Ministry of Education) & Fujian Provincial Key Laboratory of Statistics and Artificial Intelligence, Fujian Normal University, Fuzhou, 350117, P.R. China","institution_ids":["https://openalex.org/I111753288"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054048290","display_name":"Deren Han","orcid":"https://orcid.org/0000-0002-0427-8224"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Deren Han","raw_affiliation_strings":["LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing, 100191, P.R. China"],"affiliations":[{"raw_affiliation_string":"LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing, 100191, P.R. China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5032001037"],"corresponding_institution_ids":["https://openalex.org/I176808543"],"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":0.38408951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"1","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":0.515999972820282,"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":0.515999972820282,"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":0.3424000144004822,"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":0.09290000051259995,"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/power-iteration","display_name":"Power iteration","score":0.7627999782562256},{"id":"https://openalex.org/keywords/fixed-point-iteration","display_name":"Fixed-point iteration","score":0.6449999809265137},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5767999887466431},{"id":"https://openalex.org/keywords/arnoldi-iteration","display_name":"Arnoldi iteration","score":0.5038999915122986},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4918000102043152},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4909000098705292},{"id":"https://openalex.org/keywords/matrix-splitting","display_name":"Matrix splitting","score":0.4778999984264374},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.45320001244544983}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8174999952316284},{"id":"https://openalex.org/C162443888","wikidata":"https://www.wikidata.org/wiki/Q1426504","display_name":"Power iteration","level":3,"score":0.7627999782562256},{"id":"https://openalex.org/C157449380","wikidata":"https://www.wikidata.org/wiki/Q1030759","display_name":"Fixed-point iteration","level":3,"score":0.6449999809265137},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5767999887466431},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5357999801635742},{"id":"https://openalex.org/C43143463","wikidata":"https://www.wikidata.org/wiki/Q696822","display_name":"Arnoldi iteration","level":4,"score":0.5038999915122986},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4918000102043152},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4909000098705292},{"id":"https://openalex.org/C133589720","wikidata":"https://www.wikidata.org/wiki/Q6787891","display_name":"Matrix splitting","level":5,"score":0.4778999984264374},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.45320001244544983},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43790000677108765},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.43459999561309814},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4221000075340271},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.3359000086784363},{"id":"https://openalex.org/C127042158","wikidata":"https://www.wikidata.org/wiki/Q1561270","display_name":"Successive over-relaxation","level":4,"score":0.33180001378059387},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3138999938964844},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.3125999867916107},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.2847000062465668},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2768999934196472},{"id":"https://openalex.org/C54219892","wikidata":"https://www.wikidata.org/wiki/Q4080929","display_name":"Matrix-free methods","level":4,"score":0.2653999924659729}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-025-02676-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-025-02676-w","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1506342804","https://openalex.org/W1968411180","https://openalex.org/W1973411603","https://openalex.org/W1982337446","https://openalex.org/W2002603575","https://openalex.org/W2023548950","https://openalex.org/W2046904496","https://openalex.org/W2053227127","https://openalex.org/W2128087213","https://openalex.org/W2135600319","https://openalex.org/W2175406747","https://openalex.org/W2466028173","https://openalex.org/W2587260536","https://openalex.org/W2605535203","https://openalex.org/W2615215470","https://openalex.org/W2753893824","https://openalex.org/W2754202333","https://openalex.org/W2901705294","https://openalex.org/W2902250637","https://openalex.org/W2945383297","https://openalex.org/W2966430741","https://openalex.org/W2971480411","https://openalex.org/W2972592906","https://openalex.org/W2997321886","https://openalex.org/W3023390379","https://openalex.org/W3028684264","https://openalex.org/W3083006170","https://openalex.org/W3096485153","https://openalex.org/W3106930186","https://openalex.org/W3109228213","https://openalex.org/W3119015524","https://openalex.org/W3130737534","https://openalex.org/W3141304611","https://openalex.org/W3171831540","https://openalex.org/W3184244940","https://openalex.org/W4224945163","https://openalex.org/W4295018347","https://openalex.org/W4296007729","https://openalex.org/W4307404342","https://openalex.org/W4312204813","https://openalex.org/W4313531411","https://openalex.org/W4322767495","https://openalex.org/W4385434617","https://openalex.org/W4386465513","https://openalex.org/W4387651125","https://openalex.org/W4394913478","https://openalex.org/W4396794717","https://openalex.org/W4401450521","https://openalex.org/W4403615368","https://openalex.org/W4403728254","https://openalex.org/W4404668336","https://openalex.org/W4406142278","https://openalex.org/W4409661129","https://openalex.org/W4409666248","https://openalex.org/W4411116197","https://openalex.org/W4412055737","https://openalex.org/W4413131242","https://openalex.org/W4413201489"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-12-08T00:00:00"}