{"id":"https://openalex.org/W3204947518","doi":"https://doi.org/10.1137/21m1466244","title":"Randomized Nystr\u00f6m Preconditioning","display_name":"Randomized Nystr\u00f6m Preconditioning","publication_year":2023,"publication_date":"2023-05-30","ids":{"openalex":"https://openalex.org/W3204947518","doi":"https://doi.org/10.1137/21m1466244","mag":"3204947518"},"language":"en","primary_location":{"id":"doi:10.1137/21m1466244","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1466244","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","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/A5087993415","display_name":"Zachary Frangella","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zachary Frangella","raw_affiliation_strings":["Department of Management Science and Engineering, Stanford University, Stanford, CA 94305 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management Science and Engineering, Stanford University, Stanford, CA 94305 USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000879912","display_name":"Joel A. Tropp","orcid":"https://orcid.org/0000-0003-1024-1791"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joel A. Tropp","raw_affiliation_strings":["Department of Computing and Mathematical Sciences, California Institute of Technology, Pasadena, CA 91125-5000 USA"],"raw_orcid":"https://orcid.org/0000-0003-1024-1791","affiliations":[{"raw_affiliation_string":"Department of Computing and Mathematical Sciences, California Institute of Technology, Pasadena, CA 91125-5000 USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084564811","display_name":"Madeleine Udell","orcid":"https://orcid.org/0000-0002-3985-915X"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Madeleine Udell","raw_affiliation_strings":["Department of Management Science and Engineering, Stanford University, Stanford, CA 94305 USA"],"raw_orcid":"https://orcid.org/0000-0002-3985-915X","affiliations":[{"raw_affiliation_string":"Department of Management Science and Engineering, Stanford University, Stanford, CA 94305 USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087993415"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":4.2719,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.95130119,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"44","issue":"2","first_page":"718","last_page":"752"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9994999766349792,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8185201287269592},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40818876028060913},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.36429286003112793},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3417011499404907}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8185201287269592},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40818876028060913},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.36429286003112793},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3417011499404907}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1466244","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1466244","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8299999833106995,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G2559382148","display_name":null,"funder_award_id":"1952777","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7441698929","display_name":null,"funder_award_id":"N00014-18-1-2363","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G836416240","display_name":null,"funder_award_id":"IIS-1943131","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"},{"id":"https://openalex.org/F4320306151","display_name":"Alfred P. Sloan Foundation","ror":"https://ror.org/052csg198"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W317456669","https://openalex.org/W1506342804","https://openalex.org/W1546851689","https://openalex.org/W1576347883","https://openalex.org/W1698155719","https://openalex.org/W1788183014","https://openalex.org/W2006340150","https://openalex.org/W2007500622","https://openalex.org/W2008776938","https://openalex.org/W2040425799","https://openalex.org/W2040466831","https://openalex.org/W2040745222","https://openalex.org/W2045390367","https://openalex.org/W2087778158","https://openalex.org/W2097897435","https://openalex.org/W2107599050","https://openalex.org/W2112545207","https://openalex.org/W2117756735","https://openalex.org/W2127459401","https://openalex.org/W2132862423","https://openalex.org/W2144902422","https://openalex.org/W2153635508","https://openalex.org/W2185932763","https://openalex.org/W2532798880","https://openalex.org/W2568875900","https://openalex.org/W2569261326","https://openalex.org/W2616038372","https://openalex.org/W2616345629","https://openalex.org/W2723797911","https://openalex.org/W2798707604","https://openalex.org/W2798909945","https://openalex.org/W2896388162","https://openalex.org/W2963624229","https://openalex.org/W2965363114","https://openalex.org/W3036840984","https://openalex.org/W3038013901","https://openalex.org/W3088993095","https://openalex.org/W3103183085","https://openalex.org/W3103423762","https://openalex.org/W3108353645","https://openalex.org/W3112410551","https://openalex.org/W3144619878","https://openalex.org/W4210665681","https://openalex.org/W4255333822","https://openalex.org/W4312258136","https://openalex.org/W4320800818"],"related_works":["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","https://openalex.org/W2142036596"],"abstract_inverted_index":{"This":[0],"paper":[1,76],"introduces":[2],"the":[3,17,27,40,57,60,65,73,88,116],"Nystr\\om":[4,19,95],"PCG":[5,96],"algorithm":[6,15],"for":[7,81],"solving":[8],"a":[9,23],"symmetric":[10],"positive-definite":[11],"linear":[12,101],"system.":[13],"The":[14,75],"applies":[16],"randomized":[18],"method":[20],"to":[21,31],"form":[22],"low-rank":[24],"approximation":[25,61],"of":[26,59,67,70,87],"matrix,":[28],"which":[29],"leads":[30],"an":[32],"efficient":[33],"preconditioner":[34],"that":[35,47,94,103],"can":[36,97],"be":[37],"deployed":[38],"with":[39,64],"conjugate":[41],"gradient":[42],"algorithm.":[43],"Theoretical":[44],"analysis":[45,107],"shows":[46],"preconditioned":[48],"system":[49],"has":[50],"constant":[51],"condition":[52],"number":[53,66],"as":[54,56],"soon":[55],"rank":[58],"is":[62],"comparable":[63],"effective":[68,89],"degrees":[69],"freedom":[71],"in":[72,105],"matrix.":[74],"also":[77],"develops":[78],"adaptive":[79],"methods":[80,114],"achieving":[82],"similar":[83],"performance":[84],"without":[85],"knowledge":[86],"dimension.":[90],"Numerical":[91],"tests":[92],"show":[93],"rapidly":[98],"solve":[99],"large":[100],"systems":[102],"arise":[104],"data":[106],"problems,":[108],"and":[109],"it":[110],"surpasses":[111],"several":[112],"competing":[113],"from":[115],"literature.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-11T08:15:01.531666","created_date":"2025-10-10T00:00:00"}
