{"id":"https://openalex.org/W265059457","doi":"https://doi.org/10.1007/978-1-4613-3400-2_4","title":"Scalable Parallel Algorithms for Sparse Linear Systems","display_name":"Scalable Parallel Algorithms for Sparse Linear Systems","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W265059457","doi":"https://doi.org/10.1007/978-1-4613-3400-2_4","mag":"265059457"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4613-3400-2_4","doi":"https://doi.org/10.1007/978-1-4613-3400-2_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4613-3400-2_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210205483","display_name":"Applied optimization","issn_l":"1384-6485","issn":["1384-6485"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Optimization","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W1985380487","display_name":"Parallel Computing in Optimization"},"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/A5032560400","display_name":"Anshul Gupta","orcid":"https://orcid.org/0000-0003-3985-775X","observed_orcids":["https://orcid.org/0000-0003-3985-775X"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anshul Gupta","raw_affiliation_strings":["Department of Computer Science, University of Minnesota, Minneapolis, MN, 55455, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Minnesota, Minneapolis, MN, 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082384108","display_name":"George Karypis","orcid":"https://orcid.org/0000-0003-2753-1437","observed_orcids":["https://orcid.org/0000-0003-2753-1437"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"George Karypis","raw_affiliation_strings":["Department of Computer Science, University of Minnesota, Minneapolis, MN, 55455, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Minnesota, Minneapolis, MN, 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040319974","display_name":"Vipin Kumar","orcid":"https://orcid.org/0000-0003-4736-7582","observed_orcids":["https://orcid.org/0000-0003-4736-7582"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vipin Kumar","raw_affiliation_strings":["Department of Computer Science, University of Minnesota, Minneapolis, MN, 55455, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Minnesota, Minneapolis, MN, 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":4.1956,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.92514535,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"73","last_page":"98"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9653000235557556,"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":0.9653000235557556,"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":0.03139999881386757,"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":0.00039999998989515007,"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":0.9929999709129333},{"id":"https://openalex.org/keywords/sparse-cholesky-factorization","display_name":"sparse Cholesky factorization","score":0.871999979019165},{"id":"https://openalex.org/keywords/multifrontal-method","display_name":"multifrontal method","score":0.8610000014305115},{"id":"https://openalex.org/keywords/parallel-direct-solvers","display_name":"parallel direct solvers","score":0.7760000228881836},{"id":"https://openalex.org/keywords/distributed-memory-parallel-computing","display_name":"distributed memory parallel computing","score":0.7179999947547913},{"id":"https://openalex.org/keywords/scalability","display_name":"scalability","score":0.9480000138282776},{"id":"https://openalex.org/keywords/sparse-matrix-factorization","display_name":"sparse matrix factorization","score":0.8790000081062317}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.8797067403793335},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7763912677764893},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.7315599918365479},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.6837742328643799},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6458032131195068},{"id":"https://openalex.org/C44363057","wikidata":"https://www.wikidata.org/wiki/Q6015160","display_name":"Incomplete Cholesky factorization","level":4,"score":0.6326011419296265},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5695655345916748},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5348395705223083},{"id":"https://openalex.org/C134978465","wikidata":"https://www.wikidata.org/wiki/Q1654069","display_name":"Incomplete LU factorization","level":4,"score":0.48702865839004517},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4868837893009186},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.47216174006462097},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4197898805141449},{"id":"https://openalex.org/C46085209","wikidata":"https://www.wikidata.org/wiki/Q17098969","display_name":"Minimum degree algorithm","level":5,"score":0.41541337966918945},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36597299575805664},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36105650663375854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16140219569206238},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4613-3400-2_4","doi":"https://doi.org/10.1007/978-1-4613-3400-2_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4613-3400-2_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210205483","display_name":"Applied optimization","issn_l":"1384-6485","issn":["1384-6485"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Optimization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W45805317","https://openalex.org/W96060697","https://openalex.org/W171063220","https://openalex.org/W338375802","https://openalex.org/W1483143399","https://openalex.org/W1484005031","https://openalex.org/W1496378682","https://openalex.org/W1509342228","https://openalex.org/W1524586108","https://openalex.org/W1533473155","https://openalex.org/W1549905277","https://openalex.org/W1584568876","https://openalex.org/W1592234017","https://openalex.org/W1644586856","https://openalex.org/W1812589429","https://openalex.org/W1827230063","https://openalex.org/W1926846071","https://openalex.org/W1968235986","https://openalex.org/W1979765472","https://openalex.org/W1981885118","https://openalex.org/W1981893977","https://openalex.org/W1982983417","https://openalex.org/W1992935334","https://openalex.org/W1993274656","https://openalex.org/W1996471375","https://openalex.org/W1998020413","https://openalex.org/W1998183519","https://openalex.org/W2004951603","https://openalex.org/W2018850201","https://openalex.org/W2027566319","https://openalex.org/W2031990962","https://openalex.org/W2043839703","https://openalex.org/W2045325210","https://openalex.org/W2051170452","https://openalex.org/W2051800546","https://openalex.org/W2054673685","https://openalex.org/W2063675347","https://openalex.org/W2070232376","https://openalex.org/W2080038255","https://openalex.org/W2086648616","https://openalex.org/W2090228092","https://openalex.org/W2093992309","https://openalex.org/W2096559782","https://openalex.org/W2098761003","https://openalex.org/W2100843445","https://openalex.org/W2101650611","https://openalex.org/W2103833924","https://openalex.org/W2114030927","https://openalex.org/W2115653324","https://openalex.org/W2118953734","https://openalex.org/W2124200646","https://openalex.org/W2125531986","https://openalex.org/W2127144731","https://openalex.org/W2128987859","https://openalex.org/W2150402470","https://openalex.org/W2151952073","https://openalex.org/W2152377721","https://openalex.org/W2170546376","https://openalex.org/W2340149117","https://openalex.org/W2913132751","https://openalex.org/W3149246379","https://openalex.org/W3151159949","https://openalex.org/W4230170263","https://openalex.org/W4241568759","https://openalex.org/W4285719527","https://openalex.org/W6678726941","https://openalex.org/W6682233255","https://openalex.org/W6990123309"],"related_works":["https://openalex.org/W7097889896","https://openalex.org/W3202820144","https://openalex.org/W7099330572","https://openalex.org/W7097133289","https://openalex.org/W2127144731","https://openalex.org/W32838146","https://openalex.org/W4244369300","https://openalex.org/W1993274656","https://openalex.org/W2140092753","https://openalex.org/W1607358149"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}