{"id":"https://openalex.org/W4406204418","doi":"https://doi.org/10.1016/j.amc.2024.129268","title":"An algebraic algorithm for the total least squares problem in commutative quaternionic theory","display_name":"An algebraic algorithm for the total least squares problem in commutative quaternionic theory","publication_year":2025,"publication_date":"2025-01-09","ids":{"openalex":"https://openalex.org/W4406204418","doi":"https://doi.org/10.1016/j.amc.2024.129268"},"language":"en","primary_location":{"id":"doi:10.1016/j.amc.2024.129268","doi":"https://doi.org/10.1016/j.amc.2024.129268","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2024.129268","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","norway-1","poland-100","russia-white-list-1","vabb-shw"],"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":"Applied Mathematics and Computation","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5050221328","display_name":"Tongsong Jiang","orcid":"https://orcid.org/0000-0002-7990-5800","observed_orcids":["https://orcid.org/0000-0002-7990-5800"]},"institutions":[{"id":"https://openalex.org/I131550537","display_name":"North-Eastern Federal University","ror":"https://ror.org/02p6aa271","country_code":"RU","type":"education","lineage":["https://openalex.org/I131550537"]},{"id":"https://openalex.org/I15823474","display_name":"Linyi University","ror":"https://ror.org/01knv0402","country_code":"CN","type":"education","lineage":["https://openalex.org/I15823474"]},{"id":"https://openalex.org/I4405279505","display_name":"Shandong Modern University","ror":"https://ror.org/01k496r06","country_code":"CN","type":"education","lineage":["https://openalex.org/I4405279505"]}],"countries":["CN","RU"],"is_corresponding":true,"raw_author_name":"Tongsong Jiang","raw_affiliation_strings":["Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk 677000, Russia","School of Electronic Information, Shandong Xiandai University, Jinan Shandong 250104, PR China","School of Mathematics and Statistics, Linyi University, Linyi Shandong 276005, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk 677000, Russia","institution_ids":["https://openalex.org/I131550537"]},{"raw_affiliation_string":"School of Electronic Information, Shandong Xiandai University, Jinan Shandong 250104, PR China","institution_ids":["https://openalex.org/I4405279505"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Linyi University, Linyi Shandong 276005, PR China","institution_ids":["https://openalex.org/I15823474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056103860","display_name":"Dong Zhang","orcid":"https://orcid.org/0000-0003-4688-7762","observed_orcids":["https://orcid.org/0000-0003-4688-7762"]},"institutions":[{"id":"https://openalex.org/I131550537","display_name":"North-Eastern Federal University","ror":"https://ror.org/02p6aa271","country_code":"RU","type":"education","lineage":["https://openalex.org/I131550537"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Dong Zhang","raw_affiliation_strings":["Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk 677000, Russia"],"raw_orcid":"https://orcid.org/0000-0003-4688-7762","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk 677000, Russia","institution_ids":["https://openalex.org/I131550537"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037887606","display_name":"Zhenwei Guo","orcid":"https://orcid.org/0000-0002-0165-9363","observed_orcids":["https://orcid.org/0000-0002-0165-9363"]},"institutions":[{"id":"https://openalex.org/I131550537","display_name":"North-Eastern Federal University","ror":"https://ror.org/02p6aa271","country_code":"RU","type":"education","lineage":["https://openalex.org/I131550537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Zhenwei Guo","raw_affiliation_strings":["Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk 677000, Russia"],"raw_orcid":"https://orcid.org/0000-0002-0165-9363","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk 677000, Russia","institution_ids":["https://openalex.org/I131550537"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051813372","display_name":"\u0412. \u0418. \u0412\u0430\u0441\u0438\u043b\u044c\u0435\u0432","orcid":"https://orcid.org/0000-0002-8778-9002","observed_orcids":["https://orcid.org/0000-0002-8778-9002"]},"institutions":[{"id":"https://openalex.org/I131550537","display_name":"North-Eastern Federal University","ror":"https://ror.org/02p6aa271","country_code":"RU","type":"education","lineage":["https://openalex.org/I131550537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"V.I. Vasil'ev","raw_affiliation_strings":["Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk 677000, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk 677000, Russia","institution_ids":["https://openalex.org/I131550537"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050221328","https://openalex.org/A5056103860"],"corresponding_institution_ids":["https://openalex.org/I131550537","https://openalex.org/I15823474","https://openalex.org/I4405279505"],"apc_list":{"value":3470,"currency":"USD","value_usd":3470},"apc_paid":null,"fwci":1.2059,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69722505,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"494","issue":null,"first_page":"129268","last_page":"129268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.42500001192092896,"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"}},"topics":[{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.42500001192092896,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.36250001192092896,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.14149999618530273,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/total-least-squares","display_name":"total least squares","score":0.8740000128746033},{"id":"https://openalex.org/keywords/quaternion-matrices","display_name":"quaternion matrices","score":0.7730000019073486},{"id":"https://openalex.org/keywords/overdetermined-linear-systems","display_name":"overdetermined linear systems","score":0.8259999752044678},{"id":"https://openalex.org/keywords/existence-conditions","display_name":"existence conditions","score":0.6060000061988831},{"id":"https://openalex.org/keywords/algebraic-algorithms","display_name":"algebraic algorithms","score":0.9440000057220459}],"concepts":[{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6745872497558594},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6329344511032104},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6089097857475281},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.503131091594696},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45404234528541565},{"id":"https://openalex.org/C2779782106","wikidata":"https://www.wikidata.org/wiki/Q4724020","display_name":"Algebraic theory","level":3,"score":0.43327271938323975},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.41830235719680786},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27398550510406494},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26326465606689453},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13707008957862854},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.amc.2024.129268","doi":"https://doi.org/10.1016/j.amc.2024.129268","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2024.129268","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","ki-jl-1","norway-1","poland-100","russia-white-list-1","vabb-shw"],"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":"Applied Mathematics and Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:eee:apmaco:v:494:y:2025:i:c:s009630032400729x","doi":null,"is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S009630032400729X","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,"listed_in":[],"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"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1410540166","https://openalex.org/W1965270833","https://openalex.org/W2021160337","https://openalex.org/W2050608473","https://openalex.org/W2056891424","https://openalex.org/W2074552220","https://openalex.org/W2126836758","https://openalex.org/W2132189821","https://openalex.org/W2150205499","https://openalex.org/W2155514679","https://openalex.org/W2899697950","https://openalex.org/W2980990991","https://openalex.org/W3001467531","https://openalex.org/W3154359097","https://openalex.org/W3205916073","https://openalex.org/W4253107119","https://openalex.org/W4280588800","https://openalex.org/W4297830749","https://openalex.org/W4309441448","https://openalex.org/W4315483341","https://openalex.org/W4386130784","https://openalex.org/W4386924180","https://openalex.org/W4396812859"],"related_works":["https://openalex.org/W4396812859","https://openalex.org/W1410540166","https://openalex.org/W3001467531","https://openalex.org/W2093815976","https://openalex.org/W4297830749","https://openalex.org/W4412736557","https://openalex.org/W2049755545","https://openalex.org/W7213979533","https://openalex.org/W4403897759","https://openalex.org/W4406662884"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-01-10T00:00:00"}