{"id":"https://openalex.org/W4386924180","doi":"https://doi.org/10.1140/epjp/s13360-023-04419-x","title":"An efficient method for the total least squares problem in reduced biquaternionic electromagnetics","display_name":"An efficient method for the total least squares problem in reduced biquaternionic electromagnetics","publication_year":2023,"publication_date":"2023-09-21","ids":{"openalex":"https://openalex.org/W4386924180","doi":"https://doi.org/10.1140/epjp/s13360-023-04419-x"},"language":"en","primary_location":{"id":"doi:10.1140/epjp/s13360-023-04419-x","doi":"https://doi.org/10.1140/epjp/s13360-023-04419-x","is_oa":false,"landing_page_url":"https://doi.org/10.1140/epjp/s13360-023-04419-x","pdf_url":null,"source":{"id":"https://openalex.org/S2500088085","display_name":"The European Physical Journal Plus","issn_l":"2190-5444","issn":["2190-5444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"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":"The European Physical Journal Plus","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/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":false,"raw_author_name":"Dong Zhang","raw_affiliation_strings":["Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, Russia, 677000"],"raw_orcid":"https://orcid.org/0000-0003-4688-7762","affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, Russia, 677000","institution_ids":["https://openalex.org/I131550537"]}]},{"author_position":"middle","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/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"],"is_corresponding":true,"raw_author_name":"Tongsong Jiang","raw_affiliation_strings":["School of Electronic Information, Shandong Xiandai University, Jinan, 250104, Shandong, People\u2019s Republic of China","School of Mathematics and Statistics, Linyi University, Linyi, 276005, Shandong, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic Information, Shandong Xiandai University, Jinan, 250104, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4405279505"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Linyi University, Linyi, 276005, Shandong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I15823474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100367295","display_name":"Gang Wang","orcid":"https://orcid.org/0000-0001-6008-630X","observed_orcids":["https://orcid.org/0000-0001-6008-630X"]},"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":"Gang Wang","raw_affiliation_strings":["Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, Russia, 677000"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, Russia, 677000","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\u2019ev","raw_affiliation_strings":["Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, Russia, 677000"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, Russia, 677000","institution_ids":["https://openalex.org/I131550537"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050221328"],"corresponding_institution_ids":["https://openalex.org/I15823474","https://openalex.org/I4405279505"],"apc_list":{"value":3590,"currency":"USD","value_usd":3590},"apc_paid":null,"fwci":1.7147,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.81113236,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"138","issue":"9","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.8130000233650208,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.8130000233650208,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.07339999824762344,"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":0.07000000029802322,"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":0.9639999866485596},{"id":"https://openalex.org/keywords/biquaternions","display_name":"biquaternions","score":0.8090000152587891},{"id":"https://openalex.org/keywords/complex-representations","display_name":"complex representations","score":0.6769999861717224},{"id":"https://openalex.org/keywords/existence-conditions","display_name":"existence conditions","score":0.5809999704360962},{"id":"https://openalex.org/keywords/iterative-methods","display_name":"iterative methods","score":0.5550000071525574},{"id":"https://openalex.org/keywords/electromagnetic-theory","display_name":"electromagnetic theory","score":0.9570000171661377}],"concepts":[{"id":"https://openalex.org/C2909720056","wikidata":"https://www.wikidata.org/wiki/Q11406","display_name":"Electromagnetics","level":2,"score":0.8128411769866943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5465892553329468},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5331781506538391},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5213269591331482},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4987821578979492},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.49701645970344543},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4783070385456085},{"id":"https://openalex.org/C206844423","wikidata":"https://www.wikidata.org/wiki/Q5157313","display_name":"Computational electromagnetics","level":3,"score":0.4715818464756012},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.47109681367874146},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.4630366265773773},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34805089235305786},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3296789228916168},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3219609260559082},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10389789938926697},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08518704771995544},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0835166871547699},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0675504207611084},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1140/epjp/s13360-023-04419-x","doi":"https://doi.org/10.1140/epjp/s13360-023-04419-x","is_oa":false,"landing_page_url":"https://doi.org/10.1140/epjp/s13360-023-04419-x","pdf_url":null,"source":{"id":"https://openalex.org/S2500088085","display_name":"The European Physical Journal Plus","issn_l":"2190-5444","issn":["2190-5444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"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":"The European Physical Journal Plus","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2872508834","display_name":null,"funder_award_id":"23\u201071\u201030013","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"},{"id":"https://openalex.org/G5078756720","display_name":null,"funder_award_id":"No. 202108370086","funder_id":"https://openalex.org/F4320335564","funder_display_name":"Chinese Government Scholarship"},{"id":"https://openalex.org/G5174593724","display_name":null,"funder_award_id":"No. 202008370340","funder_id":"https://openalex.org/F4320335564","funder_display_name":"Chinese Government Scholarship"},{"id":"https://openalex.org/G5600847771","display_name":null,"funder_award_id":"075-02-2023-947","funder_id":"https://openalex.org/F4320327494","funder_display_name":"Ministry of Science and Higher Education of the Russian Federation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"},{"id":"https://openalex.org/F4320327494","display_name":"Ministry of Science and Higher Education of the Russian Federation","ror":null},{"id":"https://openalex.org/F4320335564","display_name":"Chinese Government Scholarship","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1410540166","https://openalex.org/W1992908309","https://openalex.org/W1995376194","https://openalex.org/W2008229822","https://openalex.org/W2021160337","https://openalex.org/W2022705049","https://openalex.org/W2028948400","https://openalex.org/W2042179032","https://openalex.org/W2049755545","https://openalex.org/W2056891424","https://openalex.org/W2088028136","https://openalex.org/W2088580494","https://openalex.org/W2093815976","https://openalex.org/W2111585400","https://openalex.org/W2114028927","https://openalex.org/W2150205499","https://openalex.org/W2155514679","https://openalex.org/W2156775302","https://openalex.org/W2489710351","https://openalex.org/W2500266379","https://openalex.org/W2754053369","https://openalex.org/W2794006634","https://openalex.org/W2899697950","https://openalex.org/W2980990991","https://openalex.org/W3001467531","https://openalex.org/W3167272064","https://openalex.org/W3205916073","https://openalex.org/W4206428854","https://openalex.org/W4280588800","https://openalex.org/W4297830749","https://openalex.org/W4309441448"],"related_works":["https://openalex.org/W4403897759","https://openalex.org/W7172299870","https://openalex.org/W6891956364","https://openalex.org/W4380631182","https://openalex.org/W3205916073","https://openalex.org/W4417195672","https://openalex.org/W4295268798","https://openalex.org/W1410540166","https://openalex.org/W4396812859","https://openalex.org/W4388684613"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2023-09-22T00:00:00"}