{"id":"https://openalex.org/W2970692013","doi":"https://doi.org/10.1137/19m1290097","title":"Anderson Accelerated Douglas--Rachford Splitting","display_name":"Anderson Accelerated Douglas--Rachford Splitting","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2970692013","doi":"https://doi.org/10.1137/19m1290097","mag":"2970692013"},"language":"en","primary_location":{"id":"doi:10.1137/19m1290097","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1290097","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1908.11482","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069133287","display_name":"A. Fu","orcid":"https://orcid.org/0000-0002-2876-2942"},"institutions":[{"id":"https://openalex.org/I126863827","display_name":"Pace University","ror":"https://ror.org/047p7y759","country_code":"US","type":"education","lineage":["https://openalex.org/I126863827"]},{"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":"Anqi Fu","raw_affiliation_strings":["\\dagger Department of Electrical Engineering, Stanford University, Stanford, CA 94305 USA","\\ddagger ICME, Stanford University, Stanford, CA 94305 USA"],"raw_orcid":"https://orcid.org/0000-0002-2876-2942","affiliations":[{"raw_affiliation_string":"\\dagger Department of Electrical Engineering, Stanford University, Stanford, CA 94305 USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"\\ddagger ICME, Stanford University, Stanford, CA 94305 USA","institution_ids":["https://openalex.org/I126863827","https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089647297","display_name":"Junzi Zhang","orcid":"https://orcid.org/0000-0002-5086-0063"},"institutions":[{"id":"https://openalex.org/I126863827","display_name":"Pace University","ror":"https://ror.org/047p7y759","country_code":"US","type":"education","lineage":["https://openalex.org/I126863827"]},{"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":"Junzi Zhang","raw_affiliation_strings":["\\dagger Department of Electrical Engineering, Stanford University, Stanford, CA 94305 USA","\\ddagger ICME, Stanford University, Stanford, CA 94305 USA"],"raw_orcid":"https://orcid.org/0000-0002-5086-0063","affiliations":[{"raw_affiliation_string":"\\dagger Department of Electrical Engineering, Stanford University, Stanford, CA 94305 USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"\\ddagger ICME, Stanford University, Stanford, CA 94305 USA","institution_ids":["https://openalex.org/I126863827","https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011176205","display_name":"Stephen Boyd","orcid":"https://orcid.org/0000-0001-8353-6000"},"institutions":[{"id":"https://openalex.org/I126863827","display_name":"Pace University","ror":"https://ror.org/047p7y759","country_code":"US","type":"education","lineage":["https://openalex.org/I126863827"]},{"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":"Stephen Boyd","raw_affiliation_strings":["\\dagger Department of Electrical Engineering, Stanford University, Stanford, CA 94305 USA","\\ddagger ICME, Stanford University, Stanford, CA 94305 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\\dagger Department of Electrical Engineering, Stanford University, Stanford, CA 94305 USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"\\ddagger ICME, Stanford University, Stanford, CA 94305 USA","institution_ids":["https://openalex.org/I126863827","https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069133287"],"corresponding_institution_ids":["https://openalex.org/I126863827","https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":8.8065,"has_fulltext":false,"cited_by_count":65,"citation_normalized_percentile":{"value":0.99022444,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"42","issue":"6","first_page":"A3560","last_page":"A3583"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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/T10500","display_name":"Sparse and Compressive Sensing 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/T10136","display_name":"Statistical Methods and Inference","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/range","display_name":"Range (aeronautics)","score":0.5542475581169128},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5502500534057617},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5217562317848206},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.4929664134979248},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.490774005651474},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.47903600335121155},{"id":"https://openalex.org/keywords/operator-splitting","display_name":"Operator splitting","score":0.47626039385795593},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4618493616580963},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4581637978553772},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44136306643486023},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42024824023246765},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41540712118148804},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3750707507133484},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3687710165977478},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10318306088447571}],"concepts":[{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5542475581169128},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5502500534057617},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5217562317848206},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.4929664134979248},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.490774005651474},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47903600335121155},{"id":"https://openalex.org/C2987355758","wikidata":"https://www.wikidata.org/wiki/Q25037251","display_name":"Operator splitting","level":2,"score":0.47626039385795593},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4618493616580963},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4581637978553772},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44136306643486023},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42024824023246765},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41540712118148804},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3750707507133484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3687710165977478},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10318306088447571},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/19m1290097","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1290097","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1908.11482","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.11482","pdf_url":"https://arxiv.org/pdf/1908.11482","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1908.11482","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.11482","pdf_url":"https://arxiv.org/pdf/1908.11482","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W1530272576","https://openalex.org/W1562101002","https://openalex.org/W1966801132","https://openalex.org/W1983354332","https://openalex.org/W1996160600","https://openalex.org/W2004162424","https://openalex.org/W2013467868","https://openalex.org/W2020228089","https://openalex.org/W2038281434","https://openalex.org/W2046387702","https://openalex.org/W2057376443","https://openalex.org/W2065145651","https://openalex.org/W2071486596","https://openalex.org/W2089700840","https://openalex.org/W2097897435","https://openalex.org/W2100514507","https://openalex.org/W2113328646","https://openalex.org/W2132555912","https://openalex.org/W2140041377","https://openalex.org/W2161487649","https://openalex.org/W2164278908","https://openalex.org/W2192014968","https://openalex.org/W2255161621","https://openalex.org/W2288174618","https://openalex.org/W2296319761","https://openalex.org/W2324838733","https://openalex.org/W2331034993","https://openalex.org/W2504276207","https://openalex.org/W2524661162","https://openalex.org/W2557782316","https://openalex.org/W2604292070","https://openalex.org/W2623148315","https://openalex.org/W2765693607","https://openalex.org/W2803208241","https://openalex.org/W2886586113","https://openalex.org/W2886987088","https://openalex.org/W2889776021","https://openalex.org/W2898027306","https://openalex.org/W2910769969","https://openalex.org/W2911263641","https://openalex.org/W2913535645","https://openalex.org/W2937666593","https://openalex.org/W2949979136","https://openalex.org/W2962796314","https://openalex.org/W2962807943","https://openalex.org/W2963190023","https://openalex.org/W2963255983","https://openalex.org/W2963344802","https://openalex.org/W2963457669","https://openalex.org/W2963966702","https://openalex.org/W2967223483","https://openalex.org/W2970388566","https://openalex.org/W2971900199","https://openalex.org/W2973149477","https://openalex.org/W2983997314","https://openalex.org/W2990200055","https://openalex.org/W2993433457","https://openalex.org/W3029645440","https://openalex.org/W3101543514","https://openalex.org/W3104069849","https://openalex.org/W3120161765","https://openalex.org/W3122660793","https://openalex.org/W3122823243","https://openalex.org/W3141595720","https://openalex.org/W3145959995","https://openalex.org/W3150565301","https://openalex.org/W4244393449","https://openalex.org/W4292363360"],"related_works":["https://openalex.org/W2009525028","https://openalex.org/W4321064619","https://openalex.org/W2318982644","https://openalex.org/W2076561698","https://openalex.org/W3044475370","https://openalex.org/W4387870386","https://openalex.org/W3153752017","https://openalex.org/W4387635768","https://openalex.org/W2187449906","https://openalex.org/W2962818859"],"abstract_inverted_index":{"We":[0,98],"consider":[1],"the":[2,13],"problem":[3,24],"of":[4,62,111],"non-smooth":[5],"convex":[6],"optimization":[7],"with":[8],"linear":[9],"equality":[10],"constraints,":[11],"where":[12],"objective":[14],"function":[15],"is":[16,91],"only":[17],"accessible":[18],"through":[19],"its":[20,79,105],"proximal":[21],"operator.":[22],"This":[23],"arises":[25],"in":[26,85],"many":[27],"different":[28],"fields":[29],"such":[30],"as":[31],"statistical":[32],"learning,":[33],"computational":[34],"imaging,":[35],"telecommunications,":[36],"and":[37,93,103],"optimal":[38],"control.":[39],"To":[40],"solve":[41],"it,":[42],"we":[43,53],"propose":[44],"an":[45,88,100],"Anderson":[46],"accelerated":[47],"Douglas-Rachford":[48],"splitting":[49],"(A2DR)":[50],"algorithm,":[51],"which":[52],"show":[54],"either":[55],"globally":[56],"converges":[57],"or":[58],"provides":[59],"a":[60,70,108],"certificate":[61],"infeasibility/unboundedness":[63],"under":[64],"very":[65],"mild":[66],"conditions.":[67],"Applied":[68],"to":[69,95],"block":[71],"separable":[72],"objective,":[73],"A2DR":[74],"partially":[75],"decouples":[76],"so":[77],"that":[78,90],"steps":[80],"may":[81],"be":[82],"carried":[83],"out":[84],"parallel,":[86],"yielding":[87],"algorithm":[89],"fast":[92],"scalable":[94],"multiple":[96],"processors.":[97],"describe":[99],"open-source":[101],"implementation":[102],"demonstrate":[104],"performance":[106],"on":[107],"wide":[109],"range":[110],"examples.":[112]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":12}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
