{"id":"https://openalex.org/W2020578791","doi":"https://doi.org/10.1016/0743-7315(91)90114-o","title":"Jacobi-type algorithms for LDU and cholesky factorization","display_name":"Jacobi-type algorithms for LDU and cholesky factorization","publication_year":1991,"publication_date":"1991-09-01","ids":{"openalex":"https://openalex.org/W2020578791","doi":"https://doi.org/10.1016/0743-7315(91)90114-o","mag":"2020578791"},"language":"en","primary_location":{"id":"doi:10.1016/0743-7315(91)90114-o","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0743-7315(91)90114-o","pdf_url":null,"source":{"id":"https://openalex.org/S157146593","display_name":"Journal of Parallel and Distributed Computing","issn_l":"0743-7315","issn":["0743-7315","1096-0848"],"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":"Journal of Parallel and Distributed 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/A5051849103","display_name":"Marc Moonen","orcid":"https://orcid.org/0000-0003-4461-0073"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Marc Moonen","raw_affiliation_strings":["ESAT Katholieke Universiteit Leuven, K. Mercierlaan 94, 3001 Heverlee, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ESAT Katholieke Universiteit Leuven, K. Mercierlaan 94, 3001 Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036923077","display_name":"Paul Van Dooren","orcid":"https://orcid.org/0000-0002-0115-9932"},"institutions":[{"id":"https://openalex.org/I4210159858","display_name":"Philips (Belgium)","ror":"https://ror.org/05bsjqt55","country_code":"BE","type":"company","lineage":["https://openalex.org/I4210122849","https://openalex.org/I4210159858"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Paul Van Dooren","raw_affiliation_strings":["Philips Research Laboratory, Av. A. Einstein 4, 1348 Louvain-la-Neuve, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Philips Research Laboratory, Av. A. Einstein 4, 1348 Louvain-la-Neuve, Belgium","institution_ids":["https://openalex.org/I4210159858"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022355148","display_name":"Joos Vandewalle","orcid":"https://orcid.org/0000-0001-7716-2460"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Joos Vandewalle","raw_affiliation_strings":["ESAT Katholieke Universiteit Leuven, K. Mercierlaan 94, 3001 Heverlee, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ESAT Katholieke Universiteit Leuven, K. Mercierlaan 94, 3001 Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3160,"currency":"USD","value_usd":3160},"apc_paid":null,"fwci":1.0264,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74205797,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"1","first_page":"111","last_page":"117"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","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"}},{"id":"https://openalex.org/T13126","display_name":"Scientific Research and Discoveries","score":0.9761000275611877,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.8676120042800903},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8378894329071045},{"id":"https://openalex.org/keywords/incomplete-cholesky-factorization","display_name":"Incomplete Cholesky factorization","score":0.7389872074127197},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5633465051651001},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5359500050544739},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.47883108258247375},{"id":"https://openalex.org/keywords/minimum-degree-algorithm","display_name":"Minimum degree algorithm","score":0.43110278248786926},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.41706326603889465},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3217816948890686},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.125815749168396}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.8676120042800903},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8378894329071045},{"id":"https://openalex.org/C44363057","wikidata":"https://www.wikidata.org/wiki/Q6015160","display_name":"Incomplete Cholesky factorization","level":4,"score":0.7389872074127197},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5633465051651001},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5359500050544739},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.47883108258247375},{"id":"https://openalex.org/C46085209","wikidata":"https://www.wikidata.org/wiki/Q17098969","display_name":"Minimum degree algorithm","level":5,"score":0.43110278248786926},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.41706326603889465},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3217816948890686},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.125815749168396},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/0743-7315(91)90114-o","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0743-7315(91)90114-o","pdf_url":null,"source":{"id":"https://openalex.org/S157146593","display_name":"Journal of Parallel and Distributed Computing","issn_l":"0743-7315","issn":["0743-7315","1096-0848"],"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":"Journal of Parallel and Distributed Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.56.1972","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.56.1972","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.esat.kuleuven.ac.be/pub/SISTA/moonen/reports/ldu.ps.Z","raw_type":"text"},{"id":"pmh:oai:dial.uclouvain.be:boreal:50950","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/50950","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Parallel and Distributed Computing, Vol. 13, no. 1, p. 111-117 (1991)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dial.uclouvain.be:boreal:80771","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078.1/80771","pdf_url":null,"source":{"id":"https://openalex.org/S4306400166","display_name":"Digital Access to Libraries","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2800384882","host_organization_name":"Harris County Public Library","host_organization_lineage":["https://openalex.org/I2800384882"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Parallel and Distributed Computing, Vol. 13, p. 111-117 (1991)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1599533721","https://openalex.org/W1967575124","https://openalex.org/W2089863429","https://openalex.org/W2133694738","https://openalex.org/W2798909945"],"related_works":["https://openalex.org/W2039814159","https://openalex.org/W898189783","https://openalex.org/W2049943687","https://openalex.org/W2381435995","https://openalex.org/W2104481679","https://openalex.org/W2113085198","https://openalex.org/W2041033288","https://openalex.org/W3022256543","https://openalex.org/W3046276560","https://openalex.org/W2028693659"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}