{"id":"https://openalex.org/W2003350329","doi":"https://doi.org/10.1016/0024-3795(86)90162-x","title":"A direct method for completing eigenproblem solutions on a parallel computer","display_name":"A direct method for completing eigenproblem solutions on a parallel computer","publication_year":1986,"publication_date":"1986-05-01","ids":{"openalex":"https://openalex.org/W2003350329","doi":"https://doi.org/10.1016/0024-3795(86)90162-x","mag":"2003350329"},"language":"en","primary_location":{"id":"doi:10.1016/0024-3795(86)90162-x","doi":"https://doi.org/10.1016/0024-3795(86)90162-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0024-3795(86)90162-x","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/0024-3795(86)90162-x","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086417855","display_name":"Roy O. Davies","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Roy O. Davies","raw_affiliation_strings":["Department of Mathematics The University Leicester, LE1 7RH, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics The University Leicester, LE1 7RH, U.K","institution_ids":["https://openalex.org/I153648349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111725306","display_name":"J.J. Modi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J.J. Modi","raw_affiliation_strings":["Cambridge University Engineering Department Trumpington Street Cambridge, CB2 1PZ, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cambridge University Engineering Department Trumpington Street Cambridge, CB2 1PZ, U.K","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3230,"currency":"USD","value_usd":3230},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":"77","issue":null,"first_page":"61","last_page":"74"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.0,"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/eigenvalue-problem","display_name":"eigenvalue problem","score":0.9070000052452087},{"id":"https://openalex.org/keywords/eigenvector-computation","display_name":"eigenvector computation","score":0.765999972820282},{"id":"https://openalex.org/keywords/real-symmetric-matrices","display_name":"real symmetric matrices","score":0.8840000033378601},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.953000009059906},{"id":"https://openalex.org/keywords/matrix-diagonalization","display_name":"diagonalization","score":0.5640000104904175},{"id":"https://openalex.org/keywords/distributed-array-processor","display_name":"distributed array processor","score":0.8330000042915344},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"parallel computing","score":0.8600000143051147},{"id":"https://openalex.org/keywords/direct-method","display_name":"direct method","score":0.6190000176429749}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8463575839996338},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.8164225816726685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7570570707321167},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6609445214271545},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.6252177953720093},{"id":"https://openalex.org/C46865736","wikidata":"https://www.wikidata.org/wiki/Q5348914","display_name":"Eigenvalue perturbation","level":3,"score":0.6061670184135437},{"id":"https://openalex.org/C84507854","wikidata":"https://www.wikidata.org/wiki/Q952222","display_name":"Diagonally dominant matrix","level":3,"score":0.524747371673584},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.5231710076332092},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48993510007858276},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4727310240268707},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.45811882615089417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43564289808273315},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3310534358024597},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25092872977256775},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12356171011924744},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04915335774421692},{"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/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0024-3795(86)90162-x","doi":"https://doi.org/10.1016/0024-3795(86)90162-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0024-3795(86)90162-x","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0024-3795(86)90162-x","doi":"https://doi.org/10.1016/0024-3795(86)90162-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0024-3795(86)90162-x","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1481218375","https://openalex.org/W1598819418","https://openalex.org/W1976979589","https://openalex.org/W1981841606","https://openalex.org/W1982450665","https://openalex.org/W2013737143","https://openalex.org/W2049453722","https://openalex.org/W2083627054","https://openalex.org/W2089187870","https://openalex.org/W2117742251","https://openalex.org/W2134688242","https://openalex.org/W3022136271","https://openalex.org/W4376542588"],"related_works":["https://openalex.org/W2088650005","https://openalex.org/W1871077110","https://openalex.org/W2052372002","https://openalex.org/W1602394137","https://openalex.org/W1546624584","https://openalex.org/W102443810","https://openalex.org/W2169585337","https://openalex.org/W2093637157","https://openalex.org/W2621645763","https://openalex.org/W2914212201"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}
