{"id":"https://openalex.org/W2887666076","doi":"https://doi.org/10.1145/3225058.3225090","title":"A Multilevel Subtree Method for Single and Batched Sparse Cholesky Factorization","display_name":"A Multilevel Subtree Method for Single and Batched Sparse Cholesky Factorization","publication_year":2018,"publication_date":"2018-08-08","ids":{"openalex":"https://openalex.org/W2887666076","doi":"https://doi.org/10.1145/3225058.3225090","mag":"2887666076"},"language":"en","primary_location":{"id":"doi:10.1145/3225058.3225090","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3225058.3225090","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3225058.3225090","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 47th International Conference on Parallel Processing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3225058.3225090","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101484702","display_name":"Meng Tang","orcid":"https://orcid.org/0000-0002-8138-2850"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Meng Tang","raw_affiliation_strings":["CISE, University of Florida, USA"],"affiliations":[{"raw_affiliation_string":"CISE, University of Florida, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033191108","display_name":"Mohamed Gadou","orcid":"https://orcid.org/0000-0003-2221-9874"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohamed Gadou","raw_affiliation_strings":["CISE, University of Florida, USA"],"affiliations":[{"raw_affiliation_string":"CISE, University of Florida, USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079881040","display_name":"Steven C. Rennich","orcid":"https://orcid.org/0000-0001-7036-1184"},"institutions":[{"id":"https://openalex.org/I4210127875","display_name":"Nvidia (United States)","ror":"https://ror.org/03jdj4y14","country_code":"US","type":"company","lineage":["https://openalex.org/I4210127875"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven C. Rennich","raw_affiliation_strings":["NVIDIA, Santa Clara, CA, USA"],"affiliations":[{"raw_affiliation_string":"NVIDIA, Santa Clara, CA, USA","institution_ids":["https://openalex.org/I4210127875"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069178025","display_name":"Timothy A. Davis","orcid":"https://orcid.org/0000-0001-7614-6899"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Timothy A. Davis","raw_affiliation_strings":["CSE, Texas A&amp;M University, USA"],"affiliations":[{"raw_affiliation_string":"CSE, Texas A&amp;M University, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":null,"display_name":"Sanjay Ranka","orcid":null},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sanjay Ranka","raw_affiliation_strings":["CISE, University of Florida, USA"],"affiliations":[{"raw_affiliation_string":"CISE, University of Florida, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101484702"],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":null,"apc_paid":null,"fwci":0.2137,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56202986,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9959999918937683,"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":0.9959999918937683,"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":0.98580002784729,"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9775999784469604,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.9750968813896179},{"id":"https://openalex.org/keywords/incomplete-cholesky-factorization","display_name":"Incomplete Cholesky factorization","score":0.872310221195221},{"id":"https://openalex.org/keywords/minimum-degree-algorithm","display_name":"Minimum degree algorithm","score":0.8381742238998413},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.7396039366722107},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.7236874103546143},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6928681135177612},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.5826837420463562},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.552976131439209},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.5429155826568604},{"id":"https://openalex.org/keywords/incomplete-lu-factorization","display_name":"Incomplete LU factorization","score":0.49808740615844727},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4476352632045746},{"id":"https://openalex.org/keywords/lu-decomposition","display_name":"LU decomposition","score":0.41579994559288025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3091776967048645},{"id":"https://openalex.org/keywords/computational-chemistry","display_name":"Computational chemistry","score":0.08053326606750488},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.055441200733184814}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.9750968813896179},{"id":"https://openalex.org/C44363057","wikidata":"https://www.wikidata.org/wiki/Q6015160","display_name":"Incomplete Cholesky factorization","level":4,"score":0.872310221195221},{"id":"https://openalex.org/C46085209","wikidata":"https://www.wikidata.org/wiki/Q17098969","display_name":"Minimum degree algorithm","level":5,"score":0.8381742238998413},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7396039366722107},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.7236874103546143},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6928681135177612},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.5826837420463562},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.552976131439209},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.5429155826568604},{"id":"https://openalex.org/C134978465","wikidata":"https://www.wikidata.org/wiki/Q1654069","display_name":"Incomplete LU factorization","level":4,"score":0.49808740615844727},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4476352632045746},{"id":"https://openalex.org/C123213974","wikidata":"https://www.wikidata.org/wiki/Q833089","display_name":"LU decomposition","level":4,"score":0.41579994559288025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3091776967048645},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.08053326606750488},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.055441200733184814},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3225058.3225090","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3225058.3225090","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3225058.3225090","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 47th International Conference on Parallel Processing","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3225058.3225090","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3225058.3225090","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3225058.3225090","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 47th International Conference on Parallel Processing","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G40624777","display_name":null,"funder_award_id":"CNS 1514116","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6841428239","display_name":"CSR: Medium: Collaborative Research: SparseKaffe: high-performance, auto-tuned, energy-aware algorithms for sparse direct methods on modern heterogeneous architectures","funder_award_id":"1514116","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2887666076.pdf","grobid_xml":"https://content.openalex.org/works/W2887666076.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1028753842","https://openalex.org/W1520511539","https://openalex.org/W1737435842","https://openalex.org/W1997033059","https://openalex.org/W2022842990","https://openalex.org/W2035080386","https://openalex.org/W2089024363","https://openalex.org/W2138215414","https://openalex.org/W2183156981","https://openalex.org/W2302389146","https://openalex.org/W2397636522","https://openalex.org/W2410272182","https://openalex.org/W2444544770","https://openalex.org/W2605732856","https://openalex.org/W2622973085","https://openalex.org/W2801326557"],"related_works":["https://openalex.org/W2381435995","https://openalex.org/W2078637543","https://openalex.org/W1987177655","https://openalex.org/W3022256543","https://openalex.org/W898189783","https://openalex.org/W1977632218","https://openalex.org/W4224251700","https://openalex.org/W4246966070","https://openalex.org/W2127144731","https://openalex.org/W1997033059"],"abstract_inverted_index":{"Scientific":[0],"computing":[1],"relies":[2],"heavily":[3],"on":[4,35,46],"matrix":[5],"factorization.":[6],"Cholesky":[7],"factorization":[8,42,67],"is":[9,23,48],"typically":[10],"used":[11],"to":[12,59,73],"solve":[13],"the":[14,50,54,57,60,63],"linear":[15],"equation":[16],"system":[17],"Ax":[18],"=":[19],"b":[20],"where":[21],"A":[22,28,38],"symmetric":[24],"and":[25],"positive":[26],"definite.":[27],"large":[29],"number":[30],"of":[31,43,52,66,68],"applications":[32],"require":[33],"operating":[34],"sparse":[36,44],"matrices.":[37],"major":[39],"overhead":[40],"with":[41],"matrices":[45,71],"GPUs":[47],"addressing":[49],"cost":[51],"transferring":[53],"data":[55],"from":[56],"CPU":[58],"GPU.":[61],"Additionally,":[62],"computational":[64],"efficiency":[65],"small":[69],"dense":[70],"has":[72],"be":[74],"addressed.":[75]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
