{"id":"https://openalex.org/W1607358149","doi":"https://doi.org/10.1007/978-94-011-5412-3_3","title":"Parallel Direct Methods for Sparse Linear Systems","display_name":"Parallel Direct Methods for Sparse Linear Systems","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1607358149","doi":"https://doi.org/10.1007/978-94-011-5412-3_3","mag":"1607358149"},"language":"en","primary_location":{"id":"doi:10.1007/978-94-011-5412-3_3","doi":"https://doi.org/10.1007/978-94-011-5412-3_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-94-011-5412-3_3","pdf_url":null,"source":{"id":"https://openalex.org/S4210234552","display_name":"ICASE/LaRC interdisciplinary series in science and engineering","issn_l":"1381-1339","issn":["1381-1339"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310320108","host_organization_name":"Springer Nature (Netherlands)","host_organization_lineage":["https://openalex.org/P4310320108","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature (Netherlands)","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASE/LaRC Interdisciplinary Series in Science and Engineering","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W1532479152","display_name":"Parallel Numerical Algorithms"},"type":"book-chapter","is_traditional":true,"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/A5112778840","display_name":"Michael T. Heath","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I4210135837","display_name":"National Center for Supercomputing Applications","ror":"https://ror.org/03r10zj06","country_code":"US","type":"facility","lineage":["https://openalex.org/I157725225","https://openalex.org/I4210135837"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael T. Heath","raw_affiliation_strings":["Department of Computer Science and NCSA, University of Illinois, Urbana, IL, 61801-2300, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and NCSA, University of Illinois, Urbana, IL, 61801-2300, USA","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I4210135837"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112778840"],"corresponding_institution_ids":["https://openalex.org/I157725225","https://openalex.org/I4210135837"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"55","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9897000193595886,"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":0.9897000193595886,"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":0.009399999864399433,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":9.999999747378752e-05,"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/sparse-linear-systems","display_name":"sparse linear systems","score":0.996999979019165},{"id":"https://openalex.org/keywords/symmetric-positive-definite-linear-systems","display_name":"symmetric positive definite linear systems","score":0.9369999766349792},{"id":"https://openalex.org/keywords/sparse-matrix-factorization","display_name":"sparse matrix factorization","score":0.8230000138282776},{"id":"https://openalex.org/keywords/parallel-implementation","display_name":"parallel implementation","score":0.35199999809265137}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6359021067619324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6198893189430237},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5571258664131165},{"id":"https://openalex.org/C2776544107","wikidata":"https://www.wikidata.org/wiki/Q5280367","display_name":"Direct methods","level":2,"score":0.5320993661880493},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4914504289627075},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.45539894700050354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3447744846343994},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2852029800415039},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0852518379688263},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05961132049560547},{"id":"https://openalex.org/C46141821","wikidata":"https://www.wikidata.org/wiki/Q209402","display_name":"Nuclear magnetic resonance","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-94-011-5412-3_3","doi":"https://doi.org/10.1007/978-94-011-5412-3_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-94-011-5412-3_3","pdf_url":null,"source":{"id":"https://openalex.org/S4210234552","display_name":"ICASE/LaRC interdisciplinary series in science and engineering","issn_l":"1381-1339","issn":["1381-1339"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310320108","host_organization_name":"Springer Nature (Netherlands)","host_organization_lineage":["https://openalex.org/P4310320108","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature (Netherlands)","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASE/LaRC Interdisciplinary Series in Science and Engineering","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.50.5985","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.5985","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cse.uiuc.edu/cs454/notes/paper.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1484005031","https://openalex.org/W1485066207","https://openalex.org/W1486535447","https://openalex.org/W1493749856","https://openalex.org/W1510015875","https://openalex.org/W1524586108","https://openalex.org/W1575067475","https://openalex.org/W1644586856","https://openalex.org/W1968235986","https://openalex.org/W1978723563","https://openalex.org/W1980677368","https://openalex.org/W1980946208","https://openalex.org/W1981885118","https://openalex.org/W1984921897","https://openalex.org/W1993274656","https://openalex.org/W1996471375","https://openalex.org/W1998020413","https://openalex.org/W1998183519","https://openalex.org/W2000250112","https://openalex.org/W2007903522","https://openalex.org/W2022842990","https://openalex.org/W2031990962","https://openalex.org/W2034036349","https://openalex.org/W2036509408","https://openalex.org/W2036603155","https://openalex.org/W2042879774","https://openalex.org/W2045325210","https://openalex.org/W2051800546","https://openalex.org/W2052602889","https://openalex.org/W2059098138","https://openalex.org/W2063675347","https://openalex.org/W2065166766","https://openalex.org/W2077309453","https://openalex.org/W2080090223","https://openalex.org/W2082817855","https://openalex.org/W2088501249","https://openalex.org/W2094171110","https://openalex.org/W2096159022","https://openalex.org/W2096559782","https://openalex.org/W2098761003","https://openalex.org/W2101650611","https://openalex.org/W2103833924","https://openalex.org/W2107240508","https://openalex.org/W2114030927","https://openalex.org/W2125759902","https://openalex.org/W2132457392","https://openalex.org/W2137541800","https://openalex.org/W2150402470","https://openalex.org/W2152320213","https://openalex.org/W2152377721","https://openalex.org/W2249508874","https://openalex.org/W2752093666","https://openalex.org/W2798909945","https://openalex.org/W3126588943","https://openalex.org/W4255743333","https://openalex.org/W6682233255"],"related_works":["https://openalex.org/W1993274656","https://openalex.org/W7139089423","https://openalex.org/W4244369300","https://openalex.org/W2140092753","https://openalex.org/W1579785686","https://openalex.org/W2806173155","https://openalex.org/W7095653436","https://openalex.org/W265059457","https://openalex.org/W2093738621","https://openalex.org/W2760403458"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}