{"id":"https://openalex.org/W2016391259","doi":"https://doi.org/10.1155/2014/352327","title":"Generalized Reflexive and Generalized Antireflexive Solutions to a System of Matrix Equations","display_name":"Generalized Reflexive and Generalized Antireflexive Solutions to a System of Matrix Equations","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2016391259","doi":"https://doi.org/10.1155/2014/352327","mag":"2016391259"},"language":"lv","primary_location":{"id":"doi:10.1155/2014/352327","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/352327","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/352327.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/352327.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102164361","display_name":"Yong Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yong Lin","raw_affiliation_strings":["Department of Mathematics, Shanghai University, Shanghai 200444, China","School of Mathematics and Statistics, Suzhou University, Suzhou 234000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai University, Shanghai 200444, China","institution_ids":["https://openalex.org/I113940042"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Suzhou University, Suzhou 234000, China","institution_ids":[]}]},{"author_position":"last","author":{"id":null,"display_name":"Qing-Wen Wang","orcid":"https://orcid.org/0000-0002-0494-4928"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qing-Wen Wang","raw_affiliation_strings":["Department of Mathematics, Shanghai University, Shanghai 200444, China"],"raw_orcid":"https://orcid.org/0000-0002-0494-4928","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai University, Shanghai 200444, China","institution_ids":["https://openalex.org/I113940042"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102164361"],"corresponding_institution_ids":["https://openalex.org/I113940042"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.08337034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"9"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.98580002784729,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9822999835014343,"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/algorithm","display_name":"Algorithm","score":0.49889469146728516},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3072335720062256}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49889469146728516},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3072335720062256}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/352327","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/352327","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/352327.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305544","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305544","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:352327","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/352327.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:a3976424a1a44b5ab0eeb4ea845b3b74","is_oa":true,"landing_page_url":"https://doaj.org/article/a3976424a1a44b5ab0eeb4ea845b3b74","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/352327","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/352327","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/352327.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1230546098","display_name":null,"funder_award_id":"11ZR1412500","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G1532092070","display_name":null,"funder_award_id":"11171205","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G168698837","display_name":null,"funder_award_id":"13ZZ080","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G2478946946","display_name":null,"funder_award_id":"11ZR1412500","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3676448630","display_name":null,"funder_award_id":"ky2008b253","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4522427688","display_name":null,"funder_award_id":"11171205","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5036337039","display_name":null,"funder_award_id":"11ZR1412500","funder_id":"https://openalex.org/F4320321881","funder_display_name":"Shanghai Municipal Education Commission"},{"id":"https://openalex.org/G8264433650","display_name":null,"funder_award_id":"13ZZ080","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G950225404","display_name":null,"funder_award_id":"KJ2013A248","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320309612","display_name":"Natural Science Foundation of Shanghai","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321881","display_name":"Shanghai Municipal Education Commission","ror":"https://ror.org/05tewj457"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2016391259.pdf","grobid_xml":"https://content.openalex.org/works/W2016391259.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W54669653","https://openalex.org/W132759409","https://openalex.org/W437003251","https://openalex.org/W1664553927","https://openalex.org/W1971734187","https://openalex.org/W1977672079","https://openalex.org/W1979278406","https://openalex.org/W1981547212","https://openalex.org/W1992355342","https://openalex.org/W2001090660","https://openalex.org/W2005691328","https://openalex.org/W2012738485","https://openalex.org/W2013614475","https://openalex.org/W2014548081","https://openalex.org/W2014735964","https://openalex.org/W2017891382","https://openalex.org/W2030452782","https://openalex.org/W2033353732","https://openalex.org/W2033966841","https://openalex.org/W2039408173","https://openalex.org/W2041705422","https://openalex.org/W2043218140","https://openalex.org/W2046512631","https://openalex.org/W2047017077","https://openalex.org/W2050500034","https://openalex.org/W2060899753","https://openalex.org/W2062691903","https://openalex.org/W2066021453","https://openalex.org/W2068124938","https://openalex.org/W2074678431","https://openalex.org/W2077269325","https://openalex.org/W2077367373","https://openalex.org/W2082820235","https://openalex.org/W2083103537","https://openalex.org/W2094758737","https://openalex.org/W2095771800","https://openalex.org/W2106036870","https://openalex.org/W2113888168","https://openalex.org/W2127642592","https://openalex.org/W2128142781","https://openalex.org/W2186686947","https://openalex.org/W2388871042","https://openalex.org/W3145077270"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"Two":[0],"efficient":[1],"iterative":[2,64,83],"algorithms":[3,70,84],"are":[4,85],"presented":[5],"to":[6,48,72],"solve":[7],"a":[8],"system":[9,50],"of":[10],"matrix":[11],"equations":[12],"A1X1B1":[13],"+":[14,19],"A2X2B2":[15],"=E":[16],",":[17],"C1X1D1":[18],"C2X2D2":[20],"=F":[21],"over":[22],"generalized":[23,26,35,44],"reflexive":[24,36,45],"and":[25,39],"antireflexive":[27],"matrices.":[28],"By":[29],"the":[30,32,40,49,63,68,82],"algorithms,":[31],"least":[33],"norm":[34],"(antireflexive)":[37,46],"solutions":[38,47,65],"unique":[41],"optimal":[42],"approximation":[43],"can":[51],"be":[52],"obtained,":[53],"too.":[54],"For":[55],"any":[56],"initial":[57],"value,":[58],"it":[59],"is":[60],"proved":[61],"that":[62,81],"obtained":[66],"by":[67],"proposed":[69],"converge":[71],"their":[73],"true":[74],"values.":[75],"The":[76],"given":[77],"numerical":[78],"examples":[79],"demonstrate":[80],"efficient.":[86]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
