{"id":"https://openalex.org/W2097117663","doi":"https://doi.org/10.1145/1163641.1163645","title":"An out-of-core sparse symmetric-indefinite factorization method","display_name":"An out-of-core sparse symmetric-indefinite factorization method","publication_year":2006,"publication_date":"2006-09-01","ids":{"openalex":"https://openalex.org/W2097117663","doi":"https://doi.org/10.1145/1163641.1163645","mag":"2097117663"},"language":"en","primary_location":{"id":"doi:10.1145/1163641.1163645","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1163641.1163645","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","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/A5057028397","display_name":"Omer Meshar","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Omer Meshar","raw_affiliation_strings":["Tel-Aviv University, Tel-Aviv, Israel","Tel Aviv University, Tel Aviv, Israel,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel,","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059743043","display_name":"Dror Irony","orcid":"https://orcid.org/0000-0003-4342-464X"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Dror Irony","raw_affiliation_strings":["Tel-Aviv University, Tel-Aviv, Israel","Tel Aviv University, Tel Aviv, Israel,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel,","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056808449","display_name":"Sivan Toledo","orcid":"https://orcid.org/0000-0002-9524-7115"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Sivan Toledo","raw_affiliation_strings":["Tel-Aviv University, Tel-Aviv, Israel","Tel Aviv University, Tel Aviv, Israel,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel,","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":2.8037,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.9132808,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"3","first_page":"445","last_page":"471"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9993000030517578,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.8773127198219299},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6497501134872437},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6160386204719543},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5720036029815674},{"id":"https://openalex.org/keywords/core","display_name":"Core (optical fiber)","score":0.546388566493988},{"id":"https://openalex.org/keywords/incomplete-cholesky-factorization","display_name":"Incomplete Cholesky factorization","score":0.5370174646377563},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5348097085952759},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.5315803289413452},{"id":"https://openalex.org/keywords/multi-core-processor","display_name":"Multi-core processor","score":0.489670068025589},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.47444355487823486},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45090359449386597},{"id":"https://openalex.org/keywords/factor","display_name":"Factor (programming language)","score":0.4489235579967499},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05687561631202698}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.8773127198219299},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6497501134872437},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6160386204719543},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5720036029815674},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.546388566493988},{"id":"https://openalex.org/C44363057","wikidata":"https://www.wikidata.org/wiki/Q6015160","display_name":"Incomplete Cholesky factorization","level":4,"score":0.5370174646377563},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5348097085952759},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.5315803289413452},{"id":"https://openalex.org/C78766204","wikidata":"https://www.wikidata.org/wiki/Q555032","display_name":"Multi-core processor","level":2,"score":0.489670068025589},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.47444355487823486},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45090359449386597},{"id":"https://openalex.org/C2781039887","wikidata":"https://www.wikidata.org/wiki/Q1391724","display_name":"Factor (programming language)","level":2,"score":0.4489235579967499},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05687561631202698},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1163641.1163645","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1163641.1163645","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.103.3060","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.103.3060","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.tau.ac.il/~stoledo/Pubs/ooc-indef.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.380.9618","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.380.9618","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.tau.ac.il/~stoledo/Bib/Pubs/oocsp-symindef-toms.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.6499999761581421,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W89281171","https://openalex.org/W91483751","https://openalex.org/W199075744","https://openalex.org/W1495236422","https://openalex.org/W1512243556","https://openalex.org/W1569531183","https://openalex.org/W1581078542","https://openalex.org/W1973702207","https://openalex.org/W2006204498","https://openalex.org/W2013116221","https://openalex.org/W2020804487","https://openalex.org/W2031392034","https://openalex.org/W2031990962","https://openalex.org/W2046332585","https://openalex.org/W2049226297","https://openalex.org/W2052602889","https://openalex.org/W2063675347","https://openalex.org/W2067782796","https://openalex.org/W2070232376","https://openalex.org/W2070299075","https://openalex.org/W2070571481","https://openalex.org/W2073151819","https://openalex.org/W2077309453","https://openalex.org/W2080975681","https://openalex.org/W2087974793","https://openalex.org/W2089898547","https://openalex.org/W2125759902","https://openalex.org/W2342316458","https://openalex.org/W3022909171","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1509943448","https://openalex.org/W2526784484","https://openalex.org/W1987177655","https://openalex.org/W2050448951","https://openalex.org/W4318710973","https://openalex.org/W2127144731","https://openalex.org/W253708524","https://openalex.org/W2025695688","https://openalex.org/W232494833","https://openalex.org/W2074431240"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,18,52,71],"new":[3,15,59],"out-of-core":[4,73],"sparse":[5,24,67,74],"symmetric-indefinite":[6,68],"factorization":[7],"algorithm.":[8],"The":[9],"most":[10],"significant":[11],"innovation":[12],"of":[13,57],"the":[14,23,37,47,58],"algorithm":[16,38],"is":[17,49],"dynamic":[19],"partitioning":[20,27],"method":[21,28],"for":[22],"factor.":[25],"This":[26],"results":[29],"in":[30],"very":[31],"low":[32],"I/O":[33],"traffic":[34],"and":[35,70],"allows":[36],"to":[39],"run":[40],"at":[41],"high":[42],"computational":[43],"rates,":[44],"even":[45],"though":[46],"factor":[48],"stored":[50],"on":[51],"slow":[53],"disk.":[54],"Our":[55],"implementation":[56],"code":[60],"compares":[61],"well":[62],"with":[63],"both":[64],"high-performance":[65,72],"in-core":[66],"codes":[69],"Cholesky":[75],"code.":[76]},"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
