{"id":"https://openalex.org/W2770875486","doi":"https://doi.org/10.1109/tcns.2017.2774008","title":"A Low-Complexity Parallelizable Numerical Algorithm for Sparse Semidefinite Programming","display_name":"A Low-Complexity Parallelizable Numerical Algorithm for Sparse Semidefinite Programming","publication_year":2017,"publication_date":"2017-11-15","ids":{"openalex":"https://openalex.org/W2770875486","doi":"https://doi.org/10.1109/tcns.2017.2774008","mag":"2770875486"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2017.2774008","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2017.2774008","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control of Network Systems","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/A5015341130","display_name":"Ramtin Madani","orcid":"https://orcid.org/0000-0001-9246-2357"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ramtin Madani","raw_affiliation_strings":["Department of Electrical Engineering, University of Texas at Arlington, Arlington, TX, USA"],"raw_orcid":"https://orcid.org/0000-0001-9246-2357","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Texas at Arlington, Arlington, TX, USA","institution_ids":["https://openalex.org/I189196454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072608035","display_name":"Abdulrahman Kalbat","orcid":"https://orcid.org/0000-0003-4615-3654"},"institutions":[{"id":"https://openalex.org/I201726411","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862","country_code":"AE","type":"education","lineage":["https://openalex.org/I201726411"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Abdulrahman Kalbat","raw_affiliation_strings":["Department of Electrical Engineering, United Arab Emirates University, Abu Dhabi, UAE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, United Arab Emirates University, Abu Dhabi, UAE","institution_ids":["https://openalex.org/I201726411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042580848","display_name":"Javad Lavaei","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Javad Lavaei","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, University of California, Berkeley, Berkeley, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-4294-1338","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, University of California, Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.339,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.8954017,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"5","issue":"4","first_page":"1898","last_page":"1909"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.9872999787330627,"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/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.8679541349411011},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7029774785041809},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6097581386566162},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5095639228820801},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4966176152229309},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45047056674957275},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4391142427921295},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.429731547832489},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4278479218482971},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.41367307305336},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31987282633781433}],"concepts":[{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.8679541349411011},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7029774785041809},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6097581386566162},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5095639228820801},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4966176152229309},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45047056674957275},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4391142427921295},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.429731547832489},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4278479218482971},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.41367307305336},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31987282633781433},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcns.2017.2774008","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2017.2774008","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control of Network Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.75,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":73,"referenced_works":["https://openalex.org/W1587356849","https://openalex.org/W1632601927","https://openalex.org/W1922736325","https://openalex.org/W1964577612","https://openalex.org/W1965284831","https://openalex.org/W1966333543","https://openalex.org/W1968457313","https://openalex.org/W1985123706","https://openalex.org/W1986080131","https://openalex.org/W1990761146","https://openalex.org/W1990764500","https://openalex.org/W1997197201","https://openalex.org/W2006704773","https://openalex.org/W2008440715","https://openalex.org/W2011393317","https://openalex.org/W2014495508","https://openalex.org/W2024448984","https://openalex.org/W2035579008","https://openalex.org/W2037603831","https://openalex.org/W2045079045","https://openalex.org/W2045148236","https://openalex.org/W2071143636","https://openalex.org/W2072863821","https://openalex.org/W2076261573","https://openalex.org/W2085523940","https://openalex.org/W2093909370","https://openalex.org/W2094631364","https://openalex.org/W2096725988","https://openalex.org/W2109156232","https://openalex.org/W2116793595","https://openalex.org/W2122700623","https://openalex.org/W2125390510","https://openalex.org/W2134172715","https://openalex.org/W2139991162","https://openalex.org/W2141380252","https://openalex.org/W2142333440","https://openalex.org/W2146826069","https://openalex.org/W2163345923","https://openalex.org/W2164278908","https://openalex.org/W2170975529","https://openalex.org/W2185208689","https://openalex.org/W2201293300","https://openalex.org/W2290808543","https://openalex.org/W2292017324","https://openalex.org/W2292758822","https://openalex.org/W2312656909","https://openalex.org/W2327238720","https://openalex.org/W2479566716","https://openalex.org/W2608272796","https://openalex.org/W2626488989","https://openalex.org/W2758884493","https://openalex.org/W2912522929","https://openalex.org/W2936995161","https://openalex.org/W2944753221","https://openalex.org/W2951179629","https://openalex.org/W2964262968","https://openalex.org/W2964345095","https://openalex.org/W3097981256","https://openalex.org/W3099831354","https://openalex.org/W3103309976","https://openalex.org/W3104243370","https://openalex.org/W3117493475","https://openalex.org/W3210839039","https://openalex.org/W4255349897","https://openalex.org/W4292363360","https://openalex.org/W4297704056","https://openalex.org/W4403138824","https://openalex.org/W6640345655","https://openalex.org/W6688152854","https://openalex.org/W6696925993","https://openalex.org/W6745021092","https://openalex.org/W6761030284","https://openalex.org/W7055616724"],"related_works":["https://openalex.org/W4285069850","https://openalex.org/W2963464211","https://openalex.org/W1779326604","https://openalex.org/W2543295130","https://openalex.org/W233983175","https://openalex.org/W4299546378","https://openalex.org/W2951138411","https://openalex.org/W2539871928","https://openalex.org/W2355089277","https://openalex.org/W2312486021"],"abstract_inverted_index":{"In":[0,38],"the":[1,5,18,63,74,83,90,108,115,126,148,169,173],"past":[2],"two":[3],"decades,":[4],"semidefinite":[6],"programming":[7],"(SDP)":[8],"technique":[9],"has":[10],"been":[11],"proven":[12],"to":[13,65,73,141],"be":[14,55],"extremely":[15],"successful":[16],"in":[17,25,36,79,88,120],"convexification":[19],"of":[20,76,86,112,117,125,147,172],"hard":[21],"optimization":[22,31,42],"problems":[23],"appearing":[24],"graph":[26,121],"theory,":[27,29,32],"control":[28],"polynomial":[30],"and":[33,51,114,132,163],"many":[34],"areas":[35],"engineering.":[37],"particular,":[39],"major":[40],"power":[41,47,175],"problems,":[43],"such":[44,77],"as":[45,60],"optimal":[46,174],"flow,":[48],"state":[49],"estimation,":[50],"unit":[52],"commitment,":[53],"can":[54],"formulated":[56],"or":[57],"well":[58],"approximated":[59],"SDPs.":[61],"However,":[62],"inability":[64],"efficiently":[66],"solve":[67],"large-scale":[68],"SDPs":[69,87],"is":[70,154,166],"an":[71],"impediment":[72],"deployment":[75],"formulations":[78],"practice.":[80],"Motivated":[81],"by":[82],"significant":[84],"role":[85],"revolutionizing":[89],"decision-making":[91],"process":[92],"for":[93,103,160,178],"real-world":[94,179],"systems,":[95],"this":[96],"paper":[97],"designs":[98],"a":[99,155],"low-complexity":[100],"numerical":[101],"algorithm":[102,128,153],"solving":[104],"sparse":[105,161],"SDPs,":[106,162],"using":[107],"alternating":[109],"direction":[110],"method":[111],"multipliers":[113],"notion":[116],"tree":[118],"decomposition":[119],"theory.":[122],"The":[123,151],"iterations":[124],"designed":[127],"are":[129],"highly":[130],"parallelizable":[131,157],"enjoy":[133],"closed-form":[134],"solutions,":[135],"whose":[136],"most":[137],"expensive":[138],"computation":[139],"amounts":[140],"eigenvalue":[142],"decompositions":[143],"over":[144],"certain":[145],"submatrices":[146],"SDP":[149,158,170],"matrix.":[150],"proposed":[152],"general-purpose":[156],"solver":[159],"its":[164],"performance":[165],"demonstrated":[167],"on":[168],"relaxation":[171],"flow":[176],"problem":[177],"benchmark":[180],"systems":[181],"with":[182],"more":[183],"than":[184],"13":[185],"600":[186],"nodes.":[187]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
