{"id":"https://openalex.org/W4391447630","doi":"https://doi.org/10.1007/s11227-024-05903-6","title":"Singular value decomposition for complex matrices using two-sided Jacobi method","display_name":"Singular value decomposition for complex matrices using two-sided Jacobi method","publication_year":2024,"publication_date":"2024-02-01","ids":{"openalex":"https://openalex.org/W4391447630","doi":"https://doi.org/10.1007/s11227-024-05903-6"},"language":"en","primary_location":{"id":"doi:10.1007/s11227-024-05903-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11227-024-05903-6","pdf_url":null,"source":{"id":"https://openalex.org/S32326811","display_name":"The Journal of Supercomputing","issn_l":"0920-8542","issn":["0920-8542","1573-0484"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Journal of Supercomputing","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/A5093842023","display_name":"Miho Chiyonobu","orcid":"https://orcid.org/0009-0000-8043-5079"},"institutions":[{"id":"https://openalex.org/I98885092","display_name":"Nara Women's University","ror":"https://ror.org/05kzadn81","country_code":"JP","type":"education","lineage":["https://openalex.org/I98885092"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Miho Chiyonobu","raw_affiliation_strings":["Graduate School of Humanities and Sciences, Nara Women\u2019s University, Kitauoya-Nishi-machi, Nara, Nara, 6308506, Japan","Graduate School of Humanities and Sciences, Nara Women's University, Kitauoya-Nishi-machi, Nara, Nara, 6308506, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Humanities and Sciences, Nara Women\u2019s University, Kitauoya-Nishi-machi, Nara, Nara, 6308506, Japan","institution_ids":["https://openalex.org/I98885092"]},{"raw_affiliation_string":"Graduate School of Humanities and Sciences, Nara Women's University, Kitauoya-Nishi-machi, Nara, Nara, 6308506, Japan","institution_ids":["https://openalex.org/I98885092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106236834","display_name":"Takahiro Miyamae","orcid":null},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takahiro Miyamae","raw_affiliation_strings":["Faculty of Engineering, University of Fukui, Bunkyo 3-9-1, Fukui, Fukui, 9100017, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, University of Fukui, Bunkyo 3-9-1, Fukui, Fukui, 9100017, Japan","institution_ids":["https://openalex.org/I111966504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065240454","display_name":"Masami Takata","orcid":null},"institutions":[{"id":"https://openalex.org/I98885092","display_name":"Nara Women's University","ror":"https://ror.org/05kzadn81","country_code":"JP","type":"education","lineage":["https://openalex.org/I98885092"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masami Takata","raw_affiliation_strings":["Research Group of Information and Communication Technology for Life, Nara Women\u2019s University, Kitauoya-Nishi-machi, Nara, Nara, 6308506, Japan","Research Group of Information and Communication Technology for Life, Nara Women's University, Kitauoya-Nishi-machi, Nara, Nara, 6308506, Japan"],"affiliations":[{"raw_affiliation_string":"Research Group of Information and Communication Technology for Life, Nara Women\u2019s University, Kitauoya-Nishi-machi, Nara, Nara, 6308506, Japan","institution_ids":["https://openalex.org/I98885092"]},{"raw_affiliation_string":"Research Group of Information and Communication Technology for Life, Nara Women's University, Kitauoya-Nishi-machi, Nara, Nara, 6308506, Japan","institution_ids":["https://openalex.org/I98885092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093842024","display_name":"Jun Harayama","orcid":null},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jun Harayama","raw_affiliation_strings":["Faculty of Engineering, University of Fukui, Bunkyo 3-9-1, Fukui, Fukui, 9100017, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, University of Fukui, Bunkyo 3-9-1, Fukui, Fukui, 9100017, Japan","institution_ids":["https://openalex.org/I111966504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112274106","display_name":"Kinji Kimura","orcid":null},"institutions":[{"id":"https://openalex.org/I111966504","display_name":"University of Fukui","ror":"https://ror.org/00msqp585","country_code":"JP","type":"education","lineage":["https://openalex.org/I111966504"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kinji Kimura","raw_affiliation_strings":["Faculty of Engineering, University of Fukui, Bunkyo 3-9-1, Fukui, Fukui, 9100017, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, University of Fukui, Bunkyo 3-9-1, Fukui, Fukui, 9100017, Japan","institution_ids":["https://openalex.org/I111966504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101699870","display_name":"Yoshimasa Nakamura","orcid":"https://orcid.org/0000-0001-7607-7782"},"institutions":[{"id":"https://openalex.org/I4210105506","display_name":"Osaka Seikei University","ror":"https://ror.org/00yydx071","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210105506"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshimasa Nakamura","raw_affiliation_strings":["Faculty of Data Science, Osaka Seikei University, Higashi-Yodogawaku Aikawa 3-10-62, Osaka, Osaka, 5330007, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Data Science, Osaka Seikei University, Higashi-Yodogawaku Aikawa 3-10-62, Osaka, Osaka, 5330007, Japan","institution_ids":["https://openalex.org/I4210105506"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5065240454","https://openalex.org/A5093842023"],"corresponding_institution_ids":["https://openalex.org/I98885092"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8667,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.85679166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":97},"biblio":{"volume":"80","issue":"8","first_page":"11719","last_page":"11740"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9948999881744385,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/computer-science","display_name":"Computer science","score":0.8368251919746399},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.8185323476791382},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.6052837371826172},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.588668167591095},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.5514024496078491},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.48852646350860596},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3761261999607086},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3544354736804962},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3392549157142639},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33814990520477295},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32141822576522827},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14631560444831848},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.12326684594154358},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09290078282356262}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8368251919746399},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.8185323476791382},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.6052837371826172},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.588668167591095},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.5514024496078491},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.48852646350860596},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3761261999607086},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3544354736804962},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3392549157142639},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33814990520477295},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32141822576522827},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14631560444831848},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.12326684594154358},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09290078282356262},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11227-024-05903-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11227-024-05903-6","pdf_url":null,"source":{"id":"https://openalex.org/S32326811","display_name":"The Journal of Supercomputing","issn_l":"0920-8542","issn":["0920-8542","1573-0484"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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 Journal of Supercomputing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2046725790","https://openalex.org/W2094587554","https://openalex.org/W2143164363","https://openalex.org/W2562463829","https://openalex.org/W2612764261","https://openalex.org/W2769242340"],"related_works":["https://openalex.org/W4319586039","https://openalex.org/W4382583540","https://openalex.org/W1607100495","https://openalex.org/W2147072251","https://openalex.org/W1990844505","https://openalex.org/W2148568324","https://openalex.org/W4386721910","https://openalex.org/W4378770618","https://openalex.org/W2164147222","https://openalex.org/W2038393145"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
