{"id":"https://openalex.org/W4207092823","doi":"https://doi.org/10.1145/3582493","title":"Combining Sparse Approximate Factorizations with Mixed-precision Iterative Refinement","display_name":"Combining Sparse Approximate Factorizations with Mixed-precision Iterative Refinement","publication_year":2023,"publication_date":"2023-02-06","ids":{"openalex":"https://openalex.org/W4207092823","doi":"https://doi.org/10.1145/3582493"},"language":"en","primary_location":{"id":"doi:10.1145/3582493","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3582493","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3582493","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":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3582493","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107116766","display_name":"Patrick Amestoy","orcid":"https://orcid.org/0000-0002-8559-9600"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Patrick Amestoy","raw_affiliation_strings":["Mumps Technologies, ENS Lyon, Lyon, France","ENS de Lyon - \u00c9cole normale sup\u00e9rieure de Lyon (15 parvis Ren\u00e9 Descartes - BP 7000 - 69342 Lyon Cedex 07 - France)","IRIT-APO - Algorithmes Parall\u00e8les et Optimisation (Institut de recherche en informatique de Toulouse - IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)","Mumps Technologies [Lyon] (15 parvis Ren\u00e9 Descartes BP 7000 69342 Lyon Cedex 07 - France)","Toulouse INP - Institut National Polytechnique (Toulouse) (France)"],"raw_orcid":"https://orcid.org/0000-0002-8559-9600","affiliations":[{"raw_affiliation_string":"Mumps Technologies, ENS Lyon, Lyon, France","institution_ids":["https://openalex.org/I113428412"]},{"raw_affiliation_string":"ENS de Lyon - \u00c9cole normale sup\u00e9rieure de Lyon (15 parvis Ren\u00e9 Descartes - BP 7000 - 69342 Lyon Cedex 07 - France)","institution_ids":["https://openalex.org/I113428412"]},{"raw_affiliation_string":"IRIT-APO - Algorithmes Parall\u00e8les et Optimisation (Institut de recherche en informatique de Toulouse - IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Mumps Technologies [Lyon] (15 parvis Ren\u00e9 Descartes BP 7000 69342 Lyon Cedex 07 - France)","institution_ids":[]},{"raw_affiliation_string":"Toulouse INP - Institut National Polytechnique (Toulouse) (France)","institution_ids":["https://openalex.org/I205747304"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082594621","display_name":"Alfredo Buttari","orcid":"https://orcid.org/0000-0003-3207-7021"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alfredo Buttari","raw_affiliation_strings":["CNRS, IRIT, Toulouse, France","CNRS - Centre National de la Recherche Scientifique (France)","IRIT-APO - Algorithmes Parall\u00e8les et Optimisation (Institut de recherche en informatique de Toulouse - IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)"],"raw_orcid":"https://orcid.org/0000-0003-3207-7021","affiliations":[{"raw_affiliation_string":"CNRS, IRIT, Toulouse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IRIT-APO - Algorithmes Parall\u00e8les et Optimisation (Institut de recherche en informatique de Toulouse - IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069339254","display_name":"Nicholas J. Higham","orcid":"https://orcid.org/0000-0001-5956-4976"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Nicholas J. Higham","raw_affiliation_strings":["Department of Mathematics, The University of Manchester, Manchester, UK","University of Manchester [Manchester] (Oxford Rd, Manchester M13 9PL - United Kingdom)"],"raw_orcid":"https://orcid.org/0000-0001-5956-4976","affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Manchester, Manchester, UK","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"University of Manchester [Manchester] (Oxford Rd, Manchester M13 9PL - United Kingdom)","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107116543","display_name":"Jean-Yves L\u2019Excellent","orcid":"https://orcid.org/0000-0001-5804-993X"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Yves L\u2019Excellent","raw_affiliation_strings":["Mumps Technologies, ENS Lyon, Lyon, France","Mumps Technologies [Lyon] (15 parvis Ren\u00e9 Descartes BP 7000 69342 Lyon Cedex 07 - France)"],"raw_orcid":"https://orcid.org/0000-0001-5804-993X","affiliations":[{"raw_affiliation_string":"Mumps Technologies, ENS Lyon, Lyon, France","institution_ids":["https://openalex.org/I113428412"]},{"raw_affiliation_string":"Mumps Technologies [Lyon] (15 parvis Ren\u00e9 Descartes BP 7000 69342 Lyon Cedex 07 - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065253192","display_name":"Th\u00e9o Mary","orcid":"https://orcid.org/0000-0001-9949-4634"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Theo Mary","raw_affiliation_strings":["Sorbonne Universit\u00e9, CNRS, LIP6, Paris, France","PEQUAN - Performance et Qualit\u00e9 des Algorithmes Num\u00e9riques (France)","School of Mathematics - Department of Mathematics [Manchester] (Oxford road, Manchester, M13 9PL, UK - United Kingdom)"],"raw_orcid":"https://orcid.org/0000-0001-9949-4634","affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9, CNRS, LIP6, Paris, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210159731"]},{"raw_affiliation_string":"PEQUAN - Performance et Qualit\u00e9 des Algorithmes Num\u00e9riques (France)","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics - Department of Mathematics [Manchester] (Oxford road, Manchester, M13 9PL, UK - United Kingdom)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022604100","display_name":"Bastien Vieubl\u00e9","orcid":"https://orcid.org/0000-0001-8429-7400"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR","GB"],"is_corresponding":false,"raw_author_name":"Bastien Vieubl\u00e9","raw_affiliation_strings":["INPT, IRIT, Toulouse, France","IRIT-APO - Algorithmes Parall\u00e8les et Optimisation (Institut de recherche en informatique de Toulouse - IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)","Toulouse INP - Institut National Polytechnique (Toulouse) (France)","University of Manchester [Manchester] (Oxford Rd, Manchester M13 9PL - United Kingdom)"],"raw_orcid":"https://orcid.org/0000-0001-8429-7400","affiliations":[{"raw_affiliation_string":"INPT, IRIT, Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I205747304","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"IRIT-APO - Algorithmes Parall\u00e8les et Optimisation (Institut de recherche en informatique de Toulouse - IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 - France)","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Toulouse INP - Institut National Polytechnique (Toulouse) (France)","institution_ids":["https://openalex.org/I205747304"]},{"raw_affiliation_string":"University of Manchester [Manchester] (Oxford Rd, Manchester M13 9PL - United Kingdom)","institution_ids":["https://openalex.org/I28407311"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":12,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2845,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.72659547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"49","issue":"1","first_page":"1","last_page":"29"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9865000247955322,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/iterative-refinement","display_name":"Iterative refinement","score":0.5633800625801086},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5472849607467651},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4271029233932495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33524584770202637}],"concepts":[{"id":"https://openalex.org/C2779982483","wikidata":"https://www.wikidata.org/wiki/Q6094420","display_name":"Iterative refinement","level":2,"score":0.5633800625801086},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5472849607467651},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4271029233932495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33524584770202637}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3582493","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3582493","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3582493","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:HAL:hal-03536031v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03536031","pdf_url":"https://hal.science/hal-03536031/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0098-3500","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:osti.gov:2424929","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2424929","pdf_url":"https://www.osti.gov/servlets/purl/2424929","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.1145/3582493","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3582493","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3582493","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1193633358","display_name":null,"funder_award_id":"17\u2010SC\u201020\u2010SC","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G1322834978","display_name":"Inference, COmputation and Numerics for Insights into Cities (ICONIC)","funder_award_id":"EP/P020720/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1796307089","display_name":null,"funder_award_id":"17- SC-20-SC","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G1935751110","display_name":null,"funder_award_id":"EP/P020720/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3886122786","display_name":null,"funder_award_id":"17-SC20-SC","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4207092823.pdf","grobid_xml":"https://content.openalex.org/works/W4207092823.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W23203733","https://openalex.org/W1540842995","https://openalex.org/W1559275088","https://openalex.org/W1975332401","https://openalex.org/W1975818677","https://openalex.org/W1977146902","https://openalex.org/W1988201922","https://openalex.org/W2014423375","https://openalex.org/W2018136118","https://openalex.org/W2020804487","https://openalex.org/W2022484711","https://openalex.org/W2035080386","https://openalex.org/W2038205735","https://openalex.org/W2053489736","https://openalex.org/W2063675347","https://openalex.org/W2069849438","https://openalex.org/W2070299075","https://openalex.org/W2077590638","https://openalex.org/W2078126355","https://openalex.org/W2111593426","https://openalex.org/W2119623923","https://openalex.org/W2129256515","https://openalex.org/W2137541800","https://openalex.org/W2160774872","https://openalex.org/W2226936188","https://openalex.org/W2315019111","https://openalex.org/W2317841906","https://openalex.org/W2517659069","https://openalex.org/W2599973081","https://openalex.org/W2605947118","https://openalex.org/W2607498875","https://openalex.org/W2731353277","https://openalex.org/W2752879223","https://openalex.org/W2786704328","https://openalex.org/W2808102735","https://openalex.org/W2895305554","https://openalex.org/W2903589674","https://openalex.org/W2955609205","https://openalex.org/W2986784331","https://openalex.org/W3000958723","https://openalex.org/W3023393331","https://openalex.org/W3108141724","https://openalex.org/W3150959508","https://openalex.org/W3203140351","https://openalex.org/W4246470261","https://openalex.org/W4281657881","https://openalex.org/W4289772929"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"The":[0],"standard":[1],"LU":[2,69],"factorization-based":[3],"solution":[4],"process":[5],"for":[6,40,58,73],"linear":[7],"systems":[8,42],"can":[9,131,169],"be":[10],"enhanced":[11],"in":[12],"speed":[13],"or":[14,87],"accuracy":[15],"by":[16,79],"employing":[17],"mixed-precision":[18,34,161],"iterative":[19,35,62,115,162],"refinement.":[20],"Most":[21],"recent":[22],"work":[23],"has":[24],"focused":[25],"on":[26,44,110,146],"dense":[27],"systems.":[28],"We":[29,91,139],"investigate":[30],"the":[31,74,100,126,141,144,176],"potential":[32],"of":[33,68,98,106,114,143,154,174],"refinement":[36,63,116,163],"to":[37,171],"enhance":[38],"methods":[39,76],"sparse":[41,46,81,120,148,167],"based":[43,109],"approximate":[45,119,166],"factorizations.":[47,121],"In":[48],"doing":[49],"so,":[50],"we":[51],"first":[52],"develop":[53],"a":[54,65,94,111,152],"new":[55],"error":[56],"analysis":[57,97],"LU-":[59],"and":[60,103,118,136,156,178],"GMRES-based":[61],"under":[64],"general":[66],"model":[67],"factorization":[70,135,168],"that":[71,160],"accounts":[72],"approximation":[75],"typically":[77],"used":[78],"modern":[80],"solvers,":[82],"such":[83],"as":[84],"low-rank":[85,134],"approximations":[86],"relaxed":[88],"pivoting":[89],"strategies.":[90],"then":[92],"provide":[93],"detailed":[95],"performance":[96,123,142],"both":[99,175],"execution":[101],"time":[102,177],"memory":[104,179],"consumption":[105],"different":[107],"algorithms,":[108],"selected":[112],"set":[113],"variants":[117],"Our":[122],"study":[124],"uses":[125],"multifrontal":[127],"solver":[128],"MUMPS,":[129],"which":[130],"exploit":[132],"block":[133],"static":[137],"pivoting.":[138],"evaluate":[140],"algorithms":[145],"large,":[147],"problems":[149],"coming":[150],"from":[151],"variety":[153],"real-life":[155],"industrial":[157],"applications":[158],"showing":[159],"combined":[164],"with":[165],"lead":[170],"considerable":[172],"reductions":[173],"consumption.":[180]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}