{"id":"https://openalex.org/W7154747484","doi":"https://doi.org/10.1016/j.cam.2026.117716","title":"The general solutions to six symmetrical systems of the Sylvester-type quaternion matrix equations","display_name":"The general solutions to six symmetrical systems of the Sylvester-type quaternion matrix equations","publication_year":2026,"publication_date":"2026-04-17","ids":{"openalex":"https://openalex.org/W7154747484","doi":"https://doi.org/10.1016/j.cam.2026.117716"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2026.117716","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117716","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of 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/A5030676546","display_name":"Long-Sheng Liu","orcid":"https://orcid.org/0000-0002-6603-6415"},"institutions":[{"id":"https://openalex.org/I46482218","display_name":"Anqing Normal University","ror":"https://ror.org/0127ytz78","country_code":"CN","type":"education","lineage":["https://openalex.org/I46482218"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long-Sheng Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Anqing Normal University, Anqing, 246011, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Anqing Normal University, Anqing, 246011, PR China","institution_ids":["https://openalex.org/I46482218"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133850442","display_name":"Xiao-Xiao Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I46482218","display_name":"Anqing Normal University","ror":"https://ror.org/0127ytz78","country_code":"CN","type":"education","lineage":["https://openalex.org/I46482218"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Xiao Ma","raw_affiliation_strings":["School of Mathematics and Statistics, Anqing Normal University, Anqing, 246011, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Anqing Normal University, Anqing, 246011, PR China","institution_ids":["https://openalex.org/I46482218"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064144727","display_name":"Xiao-Quan Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I46482218","display_name":"Anqing Normal University","ror":"https://ror.org/0127ytz78","country_code":"CN","type":"education","lineage":["https://openalex.org/I46482218"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Quan Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Anqing Normal University, Anqing, 246011, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Anqing Normal University, Anqing, 246011, PR China","institution_ids":["https://openalex.org/I46482218"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5133881437","display_name":"Hai-Xia Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I146613903","display_name":"Shanghai Lixin University of Accounting and Finance","ror":"https://ror.org/02g81yf77","country_code":"CN","type":"education","lineage":["https://openalex.org/I146613903"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hai-Xia Chang","raw_affiliation_strings":["School of Statistics and Mathematics, Shanghai lixin University of Accounting and Finance, Shanghai, 201209, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Mathematics, Shanghai lixin University of Accounting and Finance, Shanghai, 201209, PR China","institution_ids":["https://openalex.org/I146613903"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5133881437"],"corresponding_institution_ids":["https://openalex.org/I146613903"],"apc_list":{"value":2870,"currency":"USD","value_usd":2870},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.48909468,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"487","issue":null,"first_page":"117716","last_page":"117716"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8400999903678894,"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":0.8400999903678894,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.06040000170469284,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12504","display_name":"Mathematics and Applications","score":0.017899999395012856,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/quaternion","display_name":"Quaternion","score":0.39719998836517334},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.3896999955177307},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.3490000069141388},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3102000057697296},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.275299996137619}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8729000091552734},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4790000021457672},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.39719998836517334},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3896999955177307},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3490000069141388},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.335099995136261},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3102000057697296},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.275299996137619},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2630000114440918},{"id":"https://openalex.org/C86761442","wikidata":"https://www.wikidata.org/wiki/Q6787879","display_name":"Matrix method","level":2,"score":0.2484000027179718}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cam.2026.117716","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117716","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1599279268","https://openalex.org/W1983316366","https://openalex.org/W1990368370","https://openalex.org/W2005114468","https://openalex.org/W2011990554","https://openalex.org/W2012683663","https://openalex.org/W2059670277","https://openalex.org/W2064813696","https://openalex.org/W2077609945","https://openalex.org/W2114765937","https://openalex.org/W2133702739","https://openalex.org/W2169292928","https://openalex.org/W3006975422","https://openalex.org/W3024576917","https://openalex.org/W3133949164","https://openalex.org/W3184923368","https://openalex.org/W3196857033","https://openalex.org/W4319659160","https://openalex.org/W4392897131","https://openalex.org/W4396699589","https://openalex.org/W4399249604","https://openalex.org/W4401015357","https://openalex.org/W4402457198","https://openalex.org/W4403607501","https://openalex.org/W4404822878"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-04-18T00:00:00"}