{"id":"https://openalex.org/W4296679606","doi":"https://doi.org/10.1137/22m1475983","title":"Anderson Acceleration for Nonsmooth Fixed Point Problems","display_name":"Anderson Acceleration for Nonsmooth Fixed Point Problems","publication_year":2022,"publication_date":"2022-09-22","ids":{"openalex":"https://openalex.org/W4296679606","doi":"https://doi.org/10.1137/22m1475983"},"language":"en","primary_location":{"id":"doi:10.1137/22m1475983","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1475983","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","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/A5000803152","display_name":"Wei Bian","orcid":"https://orcid.org/0000-0003-4252-047X"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Bian","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0003-4252-047X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100369445","display_name":"Xiaojun Chen","orcid":"https://orcid.org/0000-0002-6627-2637"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Xiaojun Chen","raw_affiliation_strings":["Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100369445"],"corresponding_institution_ids":["https://openalex.org/I14243506"],"apc_list":null,"apc_paid":null,"fwci":2.5619,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88287185,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"60","issue":"5","first_page":"2565","last_page":"2591"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/mathematics","display_name":"Mathematics","score":0.8078033924102783},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.7525079250335693},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.6666004061698914},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5888563394546509},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.5369740724563599},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4680468738079071},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.46722137928009033},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4338439702987671},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42919689416885376},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3679349422454834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0746825635433197},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06962409615516663},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05871790647506714}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8078033924102783},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.7525079250335693},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6666004061698914},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5888563394546509},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.5369740724563599},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4680468738079071},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.46722137928009033},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4338439702987671},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42919689416885376},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3679349422454834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0746825635433197},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06962409615516663},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05871790647506714},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1475983","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1475983","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"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 Numerical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G154084899","display_name":null,"funder_award_id":"61773136","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G450569929","display_name":null,"funder_award_id":"11871178","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6720204095","display_name":null,"funder_award_id":"11871178","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/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1708984004","https://openalex.org/W1859634276","https://openalex.org/W1966801132","https://openalex.org/W1985909446","https://openalex.org/W2004140015","https://openalex.org/W2013467868","https://openalex.org/W2019771743","https://openalex.org/W2035765621","https://openalex.org/W2038281434","https://openalex.org/W2071486596","https://openalex.org/W2080848090","https://openalex.org/W2087003257","https://openalex.org/W2098000549","https://openalex.org/W2100514507","https://openalex.org/W2702148523","https://openalex.org/W2910769969","https://openalex.org/W2963649064","https://openalex.org/W2963743617","https://openalex.org/W3007299075","https://openalex.org/W3103664326","https://openalex.org/W3104141139","https://openalex.org/W3120161765","https://openalex.org/W3123615724","https://openalex.org/W4253621355","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2016058626","https://openalex.org/W2474724840","https://openalex.org/W2895916002","https://openalex.org/W2383807498","https://openalex.org/W1978572805","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W1814049089","https://openalex.org/W3194588123","https://openalex.org/W4308900592"],"abstract_inverted_index":{"We":[0,15,48],"give":[1],"new":[2],"convergence":[3,81],"results":[4,71,103],"of":[5,37,83,123],"Anderson":[6,85,126],"acceleration":[7,86,127],"for":[8,95,104],"the":[9,38,43,51,59,64,75,80,84,91,96,118,124],"composite":[10,39,65,97],"$\\max$":[11,66,98],"fixed":[12,45,61,67,99],"point":[13,46,62,68,100],"problem.":[14,47,69,101],"prove":[16],"that":[17,50,74],"Anderson(1)":[18],"and":[19,110,120],"EDIIS(1)":[20],"are":[21,114],"q-linear":[22],"convergent":[23],"with":[24,58,129],"a":[25,34,55],"smaller":[26],"q-factor":[27],"than":[28],"existing":[29],"q-factors.":[30],"Moreover,":[31],"we":[32,89],"propose":[33],"smoothing":[35,52,93,130],"approximation":[36,53,94],"max":[40],"function":[41],"in":[42],"contractive":[44],"show":[49,117],"is":[54],"contraction":[56],"mapping":[57],"same":[60],"as":[63],"Our":[70],"rigorously":[72],"confirm":[73],"nonsmoothness":[76],"does":[77],"not":[78],"affect":[79],"rate":[82],"method":[87,128],"when":[88],"use":[90],"proposed":[92,125],"Numerical":[102],"constrained":[105],"minimax":[106],"problems,":[107,109],"complementarity":[108],"nonsmooth":[111],"differential":[112],"equations":[113],"presented":[115],"to":[116],"efficiency":[119],"good":[121],"performance":[122],"approximation.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}