{"id":"https://openalex.org/W1975847068","doi":"https://doi.org/10.1137/s1064827598345679","title":"A Note On Parallel Matrix Inversion","display_name":"A Note On Parallel Matrix Inversion","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1975847068","doi":"https://doi.org/10.1137/s1064827598345679","mag":"1975847068"},"language":"en","primary_location":{"id":"doi:10.1137/s1064827598345679","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598345679","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific 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/A5109595877","display_name":"Enrique S. Quintana","orcid":null},"institutions":[{"id":"https://openalex.org/I10902133","display_name":"Universitat Jaume I","ror":"https://ror.org/02ws1xc11","country_code":"ES","type":"education","lineage":["https://openalex.org/I10902133"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Enrique S. Quintana","raw_affiliation_strings":["Jaume I University"],"affiliations":[{"raw_affiliation_string":"Jaume I University","institution_ids":["https://openalex.org/I10902133"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012155614","display_name":"Gregorio Quintana","orcid":null},"institutions":[{"id":"https://openalex.org/I10902133","display_name":"Universitat Jaume I","ror":"https://ror.org/02ws1xc11","country_code":"ES","type":"education","lineage":["https://openalex.org/I10902133"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Gregorio Quintana","raw_affiliation_strings":["Jaume I University"],"affiliations":[{"raw_affiliation_string":"Jaume I University","institution_ids":["https://openalex.org/I10902133"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109590825","display_name":"Xiaobai Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I10902133","display_name":"Universitat Jaume I","ror":"https://ror.org/02ws1xc11","country_code":"ES","type":"education","lineage":["https://openalex.org/I10902133"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Xiaobai Sun","raw_affiliation_strings":["Jaume I University"],"affiliations":[{"raw_affiliation_string":"Jaume I University","institution_ids":["https://openalex.org/I10902133"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049885693","display_name":"Robert van de Geijn","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robert van de Geijn","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109595877"],"corresponding_institution_ids":["https://openalex.org/I10902133"],"apc_list":null,"apc_paid":null,"fwci":2.2266,"has_fulltext":false,"cited_by_count":86,"citation_normalized_percentile":{"value":0.86814391,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"22","issue":"5","first_page":"1762","last_page":"1771"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9986000061035156,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9979000091552734,"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":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.7796609401702881},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6068975925445557},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.5539200305938721},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5065931081771851},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49393564462661743},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47327303886413574},{"id":"https://openalex.org/keywords/distributed-memory","display_name":"Distributed memory","score":0.415641725063324},{"id":"https://openalex.org/keywords/shared-memory","display_name":"Shared memory","score":0.2606959342956543}],"concepts":[{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.7796609401702881},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6068975925445557},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.5539200305938721},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5065931081771851},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49393564462661743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47327303886413574},{"id":"https://openalex.org/C91481028","wikidata":"https://www.wikidata.org/wiki/Q1054686","display_name":"Distributed memory","level":3,"score":0.415641725063324},{"id":"https://openalex.org/C133875982","wikidata":"https://www.wikidata.org/wiki/Q764810","display_name":"Shared memory","level":2,"score":0.2606959342956543},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s1064827598345679","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1064827598345679","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.4000000059604645,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1963667833","https://openalex.org/W1984150550","https://openalex.org/W1995258411","https://openalex.org/W2035879966","https://openalex.org/W2056999868","https://openalex.org/W2093608182","https://openalex.org/W3022909171","https://openalex.org/W4230598837"],"related_works":["https://openalex.org/W2027852278","https://openalex.org/W1570944919","https://openalex.org/W2070983336","https://openalex.org/W2150824771","https://openalex.org/W1837558792","https://openalex.org/W322664006","https://openalex.org/W1991465874","https://openalex.org/W2363502211","https://openalex.org/W2335046331","https://openalex.org/W2162420867"],"abstract_inverted_index":{"We":[0],"present":[1],"one-sweep":[2],"parallel":[3,54],"algorithms":[4,16],"for":[5,51],"the":[6,25],"inversion":[7,34],"of":[8,32,49],"general":[9],"and":[10,20,29,42],"symmetric":[11],"positive":[12],"definite":[13],"matrices.":[14],"The":[15],"feature":[17],"simple":[18],"programming":[19],"performance":[21,48],"optimization":[22],"while":[23],"maintaining":[24],"same":[26],"arithmetic":[27],"cost":[28],"numerical":[30],"properties":[31],"conventional":[33],"algorithms.":[35],"Our":[36],"experiments":[37],"on":[38],"a":[39,43],"Cray":[40],"T3E-600":[41],"Beowulf":[44],"cluster":[45],"demonstrate":[46],"high":[47],"implementations":[50],"distributed":[52],"memory":[53],"computers.":[55]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}