{"id":"https://openalex.org/W2172696528","doi":"https://doi.org/10.1007/978-0-387-09766-4_131","title":"Eigenvalue and Singular-Value Problems","display_name":"Eigenvalue and Singular-Value Problems","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2172696528","doi":"https://doi.org/10.1007/978-0-387-09766-4_131","mag":"2172696528"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-09766-4_131","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-09766-4_131","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Parallel Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5110571897","display_name":"Ken-ichi Itakura","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ken\u2019ichi Itakura","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084216493","display_name":"Rita Loogen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rita Loogen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108104267","display_name":"Bernard Philippe","orcid":null},"institutions":[{"id":"https://openalex.org/I4210133778","display_name":"Inria Rennes - Bretagne Atlantique Research Centre","ror":"https://ror.org/04040yw90","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210133778"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bernard Philippe","raw_affiliation_strings":["INRIA Rennes Bretagne Atlantique, Campus de Beaulieu, 35000, Rennes, France"],"affiliations":[{"raw_affiliation_string":"INRIA Rennes Bretagne Atlantique, Campus de Beaulieu, 35000, Rennes, France","institution_ids":["https://openalex.org/I4210133778","https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046544884","display_name":"Ahmed Sameh","orcid":"https://orcid.org/0000-0003-0158-6835"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210133778","display_name":"Inria Rennes - Bretagne Atlantique Research Centre","ror":"https://ror.org/04040yw90","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210133778"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ahmed Sameh","raw_affiliation_strings":["INRIA Rennes Bretagne Atlantique, Campus de Beaulieu, 35000, Rennes, France"],"affiliations":[{"raw_affiliation_string":"INRIA Rennes Bretagne Atlantique, Campus de Beaulieu, 35000, Rennes, France","institution_ids":["https://openalex.org/I4210133778","https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008319090","display_name":"David I. August","orcid":"https://orcid.org/0000-0003-3327-1803"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David I. August","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074239567","display_name":"Arun Raman","orcid":"https://orcid.org/0000-0002-5510-2405"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arun Raman","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111461831","display_name":"Jens Volkert","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jens Volkert","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065654401","display_name":"Miguel \u00c1ngel Mart\u00edn S\u00e1nchez","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miguel Sanchez","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5108490842","display_name":"Ravi Nair","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ravi Nair","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":9,"corresponding_author_ids":["https://openalex.org/A5110571897"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3612,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.63765354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"608","last_page":"615"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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":0.9994999766349792,"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":0.998199999332428,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9854999780654907,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6072304248809814},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5482237935066223},{"id":"https://openalex.org/keywords/singular-value","display_name":"Singular value","score":0.45840221643447876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4384179413318634},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20148822665214539},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10584867000579834}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6072304248809814},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5482237935066223},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.45840221643447876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4384179413318634},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20148822665214539},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10584867000579834},{"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:10.1007/978-0-387-09766-4_131","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-09766-4_131","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Parallel Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W148852858","https://openalex.org/W1522512418","https://openalex.org/W1552224009","https://openalex.org/W1576347883","https://openalex.org/W1654591889","https://openalex.org/W1760551737","https://openalex.org/W1966541833","https://openalex.org/W1981745143","https://openalex.org/W1987374018","https://openalex.org/W1999600349","https://openalex.org/W2007244665","https://openalex.org/W2017192372","https://openalex.org/W2021178437","https://openalex.org/W2025639042","https://openalex.org/W2029741595","https://openalex.org/W2036585521","https://openalex.org/W2052501068","https://openalex.org/W2052917854","https://openalex.org/W2058221770","https://openalex.org/W2059586807","https://openalex.org/W2073084447","https://openalex.org/W2073605792","https://openalex.org/W2080038255","https://openalex.org/W2081133847","https://openalex.org/W2098739181","https://openalex.org/W2100087963","https://openalex.org/W2149381887","https://openalex.org/W2798909945","https://openalex.org/W2890534020"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
