{"id":"https://openalex.org/W2019831470","doi":"https://doi.org/10.1016/0167-8191(89)90080-x","title":"Positive definiteness aspects of vectorizable preconditioners","display_name":"Positive definiteness aspects of vectorizable preconditioners","publication_year":1989,"publication_date":"1989-03-01","ids":{"openalex":"https://openalex.org/W2019831470","doi":"https://doi.org/10.1016/0167-8191(89)90080-x","mag":"2019831470"},"language":"en","primary_location":{"id":"doi:10.1016/0167-8191(89)90080-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8191(89)90080-x","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Parallel Computing","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/A5036842144","display_name":"Victor Eijkhout","orcid":"https://orcid.org/0000-0002-8094-5738"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"V Eijkhout","raw_affiliation_strings":["Department of Mathematics, University of Nijmegen, Toernooiveld 5, 6525 ED Nijmegen, the Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nijmegen, Toernooiveld 5, 6525 ED Nijmegen, the Netherlands","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027636165","display_name":"Panayot S. Vassilevski","orcid":"https://orcid.org/0000-0002-5294-7242"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"P Vassilevski","raw_affiliation_strings":["Department of Mathematics, University of Nijmegen, Toernooiveld 5, 6525 ED Nijmegen, the Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nijmegen, Toernooiveld 5, 6525 ED Nijmegen, the Netherlands","institution_ids":["https://openalex.org/I145872427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036842144"],"corresponding_institution_ids":["https://openalex.org/I145872427"],"apc_list":{"value":2680,"currency":"USD","value_usd":2680},"apc_paid":null,"fwci":2.8573,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.90984545,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"1","first_page":"93","last_page":"100"},"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":0.9993000030517578,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/positive-definiteness","display_name":"Positive definiteness","score":0.8027744293212891},{"id":"https://openalex.org/keywords/definiteness","display_name":"Definiteness","score":0.723693311214447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4706147313117981},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3976942002773285},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.22693118453025818},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.12864726781845093},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0856224000453949},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.08201587200164795}],"concepts":[{"id":"https://openalex.org/C2778265155","wikidata":"https://www.wikidata.org/wiki/Q7233276","display_name":"Positive definiteness","level":4,"score":0.8027744293212891},{"id":"https://openalex.org/C2779056149","wikidata":"https://www.wikidata.org/wiki/Q1182686","display_name":"Definiteness","level":2,"score":0.723693311214447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4706147313117981},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3976942002773285},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.22693118453025818},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.12864726781845093},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0856224000453949},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.08201587200164795},{"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0167-8191(89)90080-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0167-8191(89)90080-x","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Parallel Computing","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":9,"referenced_works":["https://openalex.org/W1992208469","https://openalex.org/W2027764906","https://openalex.org/W2037390210","https://openalex.org/W2038535655","https://openalex.org/W2051588145","https://openalex.org/W2063088579","https://openalex.org/W2069407056","https://openalex.org/W2092293277","https://openalex.org/W2319203890"],"related_works":["https://openalex.org/W4210436583","https://openalex.org/W2774735586","https://openalex.org/W2383147277","https://openalex.org/W2380066421","https://openalex.org/W1595588025","https://openalex.org/W2380095870","https://openalex.org/W3181246138","https://openalex.org/W2362272984","https://openalex.org/W2393846871","https://openalex.org/W2386023537"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}