{"id":"https://openalex.org/W2056006513","doi":"https://doi.org/10.1109/acc.2014.6859093","title":"Alternating direction method of multipliers for strictly convex quadratic programs: Optimal parameter selection","display_name":"Alternating direction method of multipliers for strictly convex quadratic programs: Optimal parameter selection","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2056006513","doi":"https://doi.org/10.1109/acc.2014.6859093","mag":"2056006513"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2014.6859093","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6859093","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","raw_type":"proceedings-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/A5038062267","display_name":"Arvind U. Raghunathan","orcid":"https://orcid.org/0000-0003-3173-3875"},"institutions":[{"id":"https://openalex.org/I1306287861","display_name":"Mitsubishi Group (Japan)","ror":"https://ror.org/0234cd281","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861"]},{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["JP","US"],"is_corresponding":true,"raw_author_name":"Arvind U. Raghunathan","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA 02139, USA","Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA 02139, USA","institution_ids":["https://openalex.org/I4210159266"]},{"raw_affiliation_string":"Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I1306287861"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004144091","display_name":"Stefano Di Cairano","orcid":"https://orcid.org/0000-0002-2363-2807"},"institutions":[{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]},{"id":"https://openalex.org/I1306287861","display_name":"Mitsubishi Group (Japan)","ror":"https://ror.org/0234cd281","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Stefano Di Cairano","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA 02139, USA","Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA 02139, USA","institution_ids":["https://openalex.org/I4210159266"]},{"raw_affiliation_string":"Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I1306287861"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038062267"],"corresponding_institution_ids":["https://openalex.org/I1306287861","https://openalex.org/I4210159266"],"apc_list":null,"apc_paid":null,"fwci":3.9169,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.93801667,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"4324","last_page":"4329"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9988999962806702,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9988999962806702,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9958000183105469,"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/iterated-function","display_name":"Iterated function","score":0.6901044845581055},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5841988921165466},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5821672081947327},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5777652263641357},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5754092931747437},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5621234178543091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5495662689208984},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5387654304504395},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5334864854812622},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5321635007858276},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5108827948570251},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5030142664909363},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4934441149234772},{"id":"https://openalex.org/keywords/linear-inequality","display_name":"Linear inequality","score":0.4679853916168213},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4313015937805176},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.4289875626564026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30846136808395386},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.07781103253364563}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6901044845581055},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5841988921165466},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5821672081947327},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5777652263641357},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5754092931747437},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5621234178543091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5495662689208984},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5387654304504395},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5334864854812622},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5321635007858276},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5108827948570251},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5030142664909363},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4934441149234772},{"id":"https://openalex.org/C84135550","wikidata":"https://www.wikidata.org/wiki/Q3154022","display_name":"Linear inequality","level":3,"score":0.4679853916168213},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4313015937805176},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.4289875626564026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30846136808395386},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.07781103253364563},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2014.6859093","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6859093","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.569.4281","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.569.4281","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.merl.com/publications/docs/TR2014-050.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1514456830","https://openalex.org/W1528431624","https://openalex.org/W2003032253","https://openalex.org/W2038497950","https://openalex.org/W2045079045","https://openalex.org/W2078786857","https://openalex.org/W2094631364","https://openalex.org/W2104939830","https://openalex.org/W2106821132","https://openalex.org/W2109024385","https://openalex.org/W2150436340","https://openalex.org/W2152817319","https://openalex.org/W2159523129","https://openalex.org/W2951002577","https://openalex.org/W3099831354","https://openalex.org/W4235844675","https://openalex.org/W4292363360","https://openalex.org/W6630685764"],"related_works":["https://openalex.org/W3103325625","https://openalex.org/W1486898455","https://openalex.org/W2952183507","https://openalex.org/W1551373919","https://openalex.org/W2905186505","https://openalex.org/W2087646609","https://openalex.org/W2114537646","https://openalex.org/W2516607552","https://openalex.org/W3155519467","https://openalex.org/W156126080"],"abstract_inverted_index":{"We":[0,85],"consider":[1],"an":[2],"approach":[3],"for":[4,82,145],"solving":[5],"strictly":[6],"convex":[7],"quadratic":[8],"programs":[9],"(QPs)":[10],"with":[11],"general":[12,66],"linear":[13],"inequalities":[14],"by":[15],"the":[16,28,33,55,70,78,83,88,97,113,124,127],"alternating":[17],"direction":[18],"method":[19],"of":[20,30,35,50,57,72,112,129,141,143],"multipliers":[21],"(ADMM).":[22],"In":[23],"particular,":[24],"we":[25,46],"focus":[26],"on":[27,64],"application":[29],"ADMM":[31,44],"to":[32,54,68,76,109,126],"QPs":[34,128,142],"constrained":[36],"Model":[37],"Predictive":[38],"Control":[39],"(MPC).":[40],"After":[41],"introducing":[42],"our":[43],"iteration,":[45],"provide":[47],"a":[48,65,93,101,136,147],"proof":[49,62],"convergence":[51,73],"closely":[52],"related":[53],"theory":[56],"maximal":[58],"monotone":[59],"operators.":[60],"The":[61,131],"relies":[63],"measure":[67,90],"monitor":[69],"rate":[71,95],"and":[74],"hence":[75],"characterize":[77],"optimal":[79,117],"step":[80,118],"size":[81,119],"iterations.":[84],"show":[86],"that":[87,121],"identified":[89],"converges":[91],"at":[92,100],"Q-linear":[94,103],"while":[96],"iterates":[98],"converge":[99],"2-step":[102],"rate.":[104],"This":[105],"result":[106],"allows":[107],"us":[108],"relax":[110],"some":[111],"existing":[114],"assumptions":[115],"in":[116],"selection,":[120],"currently":[122],"limit":[123],"applicability":[125],"MPC.":[130],"results":[132],"are":[133],"validated":[134],"through":[135],"large":[137],"public":[138],"benchmark":[139],"set":[140],"MPC":[144],"controlling":[146],"four":[148],"tank":[149],"process.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
