{"id":"https://openalex.org/W2296532382","doi":"https://doi.org/10.1080/00207160.2015.1059934","title":"The inversion-free iterative methods for a system of nonlinear matrix equations","display_name":"The inversion-free iterative methods for a system of nonlinear matrix equations","publication_year":2015,"publication_date":"2015-06-22","ids":{"openalex":"https://openalex.org/W2296532382","doi":"https://doi.org/10.1080/00207160.2015.1059934","mag":"2296532382"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1059934","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1059934","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5009248172","display_name":"Na Huang","orcid":"https://orcid.org/0009-0007-2870-8042"},"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":"Na Huang","raw_affiliation_strings":["School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China","institution_ids":["https://openalex.org/I111753288"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055834436","display_name":"Changfeng Ma","orcid":"https://orcid.org/0000-0002-5936-789X"},"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":true,"raw_author_name":"Changfeng Ma","raw_affiliation_strings":["School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China","institution_ids":["https://openalex.org/I111753288"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102012506","display_name":"Jia Tang","orcid":"https://orcid.org/0000-0002-2000-934X"},"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":"Jia Tang","raw_affiliation_strings":["School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China","institution_ids":["https://openalex.org/I111753288"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055834436"],"corresponding_institution_ids":["https://openalex.org/I111753288"],"apc_list":null,"apc_paid":null,"fwci":0.3505,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.67319098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"93","issue":"9","first_page":"1470","last_page":"1483"},"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":0.9988999962806702,"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":0.9983999729156494,"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/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.8065387010574341},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7961217761039734},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6775844097137451},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.6682063341140747},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6238991022109985},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6108235120773315},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6003453135490417},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47698789834976196},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41403743624687195},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37083178758621216},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28323298692703247},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05008372664451599}],"concepts":[{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.8065387010574341},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7961217761039734},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6775844097137451},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6682063341140747},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6238991022109985},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6108235120773315},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6003453135490417},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47698789834976196},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41403743624687195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37083178758621216},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28323298692703247},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05008372664451599},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"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:10.1080/00207160.2015.1059934","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1059934","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1504052111","https://openalex.org/W1600349401","https://openalex.org/W1722245359","https://openalex.org/W1965452869","https://openalex.org/W1966305639","https://openalex.org/W1966640271","https://openalex.org/W1975886185","https://openalex.org/W1979403862","https://openalex.org/W1983470242","https://openalex.org/W1989326773","https://openalex.org/W1991746142","https://openalex.org/W1994492711","https://openalex.org/W2002156977","https://openalex.org/W2002568725","https://openalex.org/W2007322084","https://openalex.org/W2017401723","https://openalex.org/W2029822378","https://openalex.org/W2031375404","https://openalex.org/W2049575707","https://openalex.org/W2071824735","https://openalex.org/W2092962117","https://openalex.org/W2093568309","https://openalex.org/W2101140191","https://openalex.org/W2104644112","https://openalex.org/W2106117063","https://openalex.org/W2133024128","https://openalex.org/W2133866750","https://openalex.org/W2138547815","https://openalex.org/W2139029562","https://openalex.org/W2142465576","https://openalex.org/W2145933873","https://openalex.org/W2313439308","https://openalex.org/W2463195734","https://openalex.org/W4388319978"],"related_works":["https://openalex.org/W2941929644","https://openalex.org/W2768308139","https://openalex.org/W2356639438","https://openalex.org/W2433822753","https://openalex.org/W2375682646","https://openalex.org/W2191009027","https://openalex.org/W2378394424","https://openalex.org/W2392852470","https://openalex.org/W2384849367","https://openalex.org/W1491597638"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,45],"consider":[4],"the":[5,37,42,48,52,69,72],"positive-definite":[6,39],"solution":[7,40],"to":[8,67],"a":[9],"system":[10],"of":[11,41,71],"nonlinear":[12],"matrix":[13],"equations,":[14],"X1+A\u2217X2\u2212\u03b11A=I":[15],"and":[16,24,58],"X2+B\u2217X1\u2212\u03b12B=I,":[17],"where":[18],"\u03b11,\u03b12":[19],"are":[20,26,55,65],"two":[21,31],"positive":[22],"constants":[23],"A,B\u2208Cr\u00d7r":[25],"given":[27,66],"matrices.":[28],"We":[29],"proposed":[30],"inversion-free":[32],"iterative":[33,53],"algorithms":[34],"for":[35],"obtaining":[36],"maximal":[38],"system.":[43],"And":[44],"prove":[46],"that":[47],"sequences":[49],"generated":[50],"by":[51],"schemes":[54],"monotonically":[56],"increasing":[57],"bounded":[59],"above.":[60],"Finally,":[61],"some":[62],"numerical":[63],"examples":[64],"show":[68],"behaviour":[70],"considered":[73],"algorithms.":[74]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
