{"id":"https://openalex.org/W3161172870","doi":"https://doi.org/10.1145/3448734.3450453","title":"An Efficient Iterative Algorithm for a Quaternion Matrix Equation with I-conjugate of Unknown Matrix","display_name":"An Efficient Iterative Algorithm for a Quaternion Matrix Equation with I-conjugate of Unknown Matrix","publication_year":2021,"publication_date":"2021-01-28","ids":{"openalex":"https://openalex.org/W3161172870","doi":"https://doi.org/10.1145/3448734.3450453","mag":"3161172870"},"language":"en","primary_location":{"id":"doi:10.1145/3448734.3450453","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3448734.3450453","pdf_url":null,"source":{"id":"https://openalex.org/S4306531993","display_name":"The 2nd International Conference on Computing and Data Science","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2nd International Conference on Computing and Data Science","raw_type":"proceedings-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/A5100368974","display_name":"Ning Li","orcid":"https://orcid.org/0000-0001-8013-5041"},"institutions":[{"id":"https://openalex.org/I59483232","display_name":"Shandong University of Finance and Economics","ror":"https://ror.org/02e2nnq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I59483232"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ning Li","raw_affiliation_strings":["Shandong University of Finance and Economics"],"affiliations":[{"raw_affiliation_string":"Shandong University of Finance and Economics","institution_ids":["https://openalex.org/I59483232"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100368974"],"corresponding_institution_ids":["https://openalex.org/I59483232"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.03939745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9983000159263611,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9800999760627747,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6655871868133545},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6584724187850952},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6110984683036804},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.602343738079071},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5684770941734314},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.5510721802711487},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.4440543055534363},{"id":"https://openalex.org/keywords/convergent-matrix","display_name":"Convergent matrix","score":0.44216153025627136},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4106503427028656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3612738847732544},{"id":"https://openalex.org/keywords/state-transition-matrix","display_name":"State-transition matrix","score":0.3437824547290802},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07846373319625854},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.05328869819641113},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05270460247993469}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6655871868133545},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6584724187850952},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6110984683036804},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.602343738079071},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5684770941734314},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.5510721802711487},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.4440543055534363},{"id":"https://openalex.org/C9848182","wikidata":"https://www.wikidata.org/wiki/Q5166397","display_name":"Convergent matrix","level":5,"score":0.44216153025627136},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4106503427028656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3612738847732544},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.3437824547290802},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07846373319625854},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.05328869819641113},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05270460247993469},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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:10.1145/3448734.3450453","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3448734.3450453","pdf_url":null,"source":{"id":"https://openalex.org/S4306531993","display_name":"The 2nd International Conference on Computing and Data Science","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2nd International Conference on Computing and Data Science","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1971345885","https://openalex.org/W2754294647","https://openalex.org/W2768229702","https://openalex.org/W2791777020","https://openalex.org/W2891224794","https://openalex.org/W2908116141","https://openalex.org/W2948251984","https://openalex.org/W2959151601","https://openalex.org/W2973751704","https://openalex.org/W2979835310","https://openalex.org/W2989648572","https://openalex.org/W2999941713","https://openalex.org/W3009138821"],"related_works":["https://openalex.org/W2388793872","https://openalex.org/W2035477117","https://openalex.org/W1984232695","https://openalex.org/W27112594","https://openalex.org/W2119809539","https://openalex.org/W33203773","https://openalex.org/W2059636966","https://openalex.org/W2101364644","https://openalex.org/W2060899753","https://openalex.org/W2166083100"],"abstract_inverted_index":{"We":[0],"in":[1,40],"this":[2],"paper":[3],"discuss":[4],"the":[5,26,29,38,45,53],"numerical":[6,50],"method":[7],"for":[8],"a":[9],"quaternion":[10],"matrix":[11],"equation":[12,30,46],"with":[13],"i-conjugate":[14],"of":[15,28],"unknown":[16],"matrix.":[17],"An":[18],"iterative":[19],"algorithm":[20,39,55],"is":[21,47,56],"proposed":[22,54],"which":[23],"can":[24,34],"determine":[25],"solvability":[27],"automatically.":[31],"A":[32,49],"solution":[33],"be":[35],"obtained":[36],"through":[37],"finite":[41],"iteration":[42],"steps,":[43],"when":[44],"solvable.":[48],"example":[51],"illustrates":[52],"quite":[57],"effective.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}