{"id":"https://openalex.org/W7203717843","doi":"https://doi.org/10.1007/s11075-026-02469-7","title":"Efficient algorithms for CUR and generalized CUR decompositions of reduced biquaternion matrices with applications to color image processing","display_name":"Efficient algorithms for CUR and generalized CUR decompositions of reduced biquaternion matrices with applications to color image processing","publication_year":2026,"publication_date":"2026-08-18","ids":{"openalex":"https://openalex.org/W7203717843","doi":"https://doi.org/10.1007/s11075-026-02469-7"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-026-02469-7","doi":"https://doi.org/10.1007/s11075-026-02469-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-026-02469-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-2","norway-1","poland-100","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":"Numerical Algorithms","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/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong Zhang","raw_affiliation_strings":["School of Statistics and Data Science, Qufu Normal University, Qufu, 273165, Shandong, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Statistics and Data Science, Qufu Normal University, Qufu, 273165, Shandong, P.R. China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052902678","display_name":"Jiang Chuan","orcid":null,"observed_orcids":[]},"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":"Chuan Jiang","raw_affiliation_strings":["School of Future Technology, Shanghai University, Shanghai, 200444, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Future Technology, Shanghai University, Shanghai, 200444, P.R. China","institution_ids":["https://openalex.org/I113940042"]}]},{"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/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenwei Guo","raw_affiliation_strings":["School of Mathematics and Systems Science, Liaocheng University, Liaocheng, 252000, Shandong, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Systems Science, Liaocheng University, Liaocheng, 252000, Shandong, P.R. China","institution_ids":["https://openalex.org/I196934937"]}]},{"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, 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":4,"corresponding_author_ids":["https://openalex.org/A5052902678"],"corresponding_institution_ids":["https://openalex.org/I113940042"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8794000148773193,"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":0.8794000148773193,"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":0.021800000220537186,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.01080000028014183,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/cur-decomposition","display_name":"CUR decomposition","score":0.9509999752044678},{"id":"https://openalex.org/keywords/complex-representations","display_name":"complex representations","score":0.7390000224113464},{"id":"https://openalex.org/keywords/moore-penrose-inverse","display_name":"Moore-Penrose inverse","score":0.8579999804496765},{"id":"https://openalex.org/keywords/perturbation-analysis","display_name":"perturbation analysis","score":0.847000002861023},{"id":"https://openalex.org/keywords/color-image-processing","display_name":"color image processing","score":0.6660000085830688},{"id":"https://openalex.org/keywords/quaternion-matrices","display_name":"quaternion matrices","score":0.492000013589859}],"concepts":[{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.8551999926567078},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7730000019073486},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5541999936103821},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4668999910354614},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.46129998564720154},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4456999897956848},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4449999928474426},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3903000056743622},{"id":"https://openalex.org/C134567657","wikidata":"https://www.wikidata.org/wiki/Q193794","display_name":"Identity matrix","level":3,"score":0.3637000024318695},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.34130001068115234},{"id":"https://openalex.org/C142616399","wikidata":"https://www.wikidata.org/wiki/Q5148604","display_name":"Color image","level":4,"score":0.33000001311302185},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.31189998984336853},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.2978000044822693},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.2881999909877777},{"id":"https://openalex.org/C20160815","wikidata":"https://www.wikidata.org/wiki/Q1482452","display_name":"Sylvester matrix","level":5,"score":0.2800999879837036},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.26510000228881836},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.2596000134944916},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.2547000050544739}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-026-02469-7","doi":"https://doi.org/10.1007/s11075-026-02469-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-026-02469-7","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-2","norway-1","poland-100","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":"Numerical Algorithms","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/G5343989937","display_name":null,"funder_award_id":"ZR2025QC21","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G6649136948","display_name":null,"funder_award_id":"ZR2025QC20","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8652290613","display_name":null,"funder_award_id":"075-02-2026-1329","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/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320327494","display_name":"Ministry of Science and Higher Education of the Russian Federation","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1998269045","https://openalex.org/W2003690406","https://openalex.org/W2042465463","https://openalex.org/W2050620685","https://openalex.org/W2058078260","https://openalex.org/W2078465266","https://openalex.org/W2155514679","https://openalex.org/W2899697950","https://openalex.org/W2945177740","https://openalex.org/W2971963065","https://openalex.org/W3001467531","https://openalex.org/W3093365368","https://openalex.org/W3205245241","https://openalex.org/W3205916073","https://openalex.org/W4224290667","https://openalex.org/W4315483341","https://openalex.org/W4392004333","https://openalex.org/W4396699589","https://openalex.org/W4396812859","https://openalex.org/W4401819216","https://openalex.org/W4403607501","https://openalex.org/W4404623879","https://openalex.org/W4405179940","https://openalex.org/W4411868921","https://openalex.org/W4412736557","https://openalex.org/W4414396770","https://openalex.org/W4417450666","https://openalex.org/W7156301151","https://openalex.org/W7168422186"],"related_works":["https://openalex.org/W4408528239","https://openalex.org/W4392004333","https://openalex.org/W7154490127","https://openalex.org/W4401819216","https://openalex.org/W4405179940","https://openalex.org/W7161938363","https://openalex.org/W2980990991","https://openalex.org/W4415397111","https://openalex.org/W3205916073","https://openalex.org/W4386412208"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2026-08-19T00:00:00"}