{"id":"https://openalex.org/W1864541922","doi":"https://doi.org/10.1109/twc.2015.2489640","title":"Decomposition by Successive Convex Approximation: A Unifying Approach for Linear Transceiver Design in Heterogeneous Networks","display_name":"Decomposition by Successive Convex Approximation: A Unifying Approach for Linear Transceiver Design in Heterogeneous Networks","publication_year":2015,"publication_date":"2015-10-13","ids":{"openalex":"https://openalex.org/W1864541922","doi":"https://doi.org/10.1109/twc.2015.2489640","mag":"1864541922"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2015.2489640","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2015.2489640","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","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/A5100633783","display_name":"Mingyi Hong","orcid":"https://orcid.org/0000-0003-1263-9365"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mingyi Hong","raw_affiliation_strings":["Department of Industrial and Manufacturing Systems Engineering, Iowa State University, Ames, IA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Manufacturing Systems Engineering, Iowa State University, Ames, IA, USA","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100429879","display_name":"Qiang Li","orcid":"https://orcid.org/0000-0001-5609-3320"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Li","raw_affiliation_strings":["School of Communication and Information Engineering, University of Electronic Science and Technology of China, Chengdu, China","School of Communication and Information Engineering / University of Electronic Science and Technology of China, Chengdu China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]},{"raw_affiliation_string":"School of Communication and Information Engineering / University of Electronic Science and Technology of China, Chengdu China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020753840","display_name":"Ya\u2010Feng Liu","orcid":"https://orcid.org/0000-0002-9684-9150"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ya-Feng Liu","raw_affiliation_strings":["State Key Laboratory of Scientific and Engineering Computing, Academy of Mathematics and Systems Science, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Scientific and Engineering Computing, Academy of Mathematics and Systems Science, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2446,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.88149632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"15","issue":"2","first_page":"1377","last_page":"1392"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"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/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/precoding","display_name":"Precoding","score":0.785612165927887},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6286525726318359},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6252090334892273},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6096979975700378},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.5568980574607849},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.462831050157547},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.45988380908966064},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4307723045349121},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4171968102455139},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2986172139644623},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2867462635040283},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.21607166528701782},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.17222079634666443},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09583517909049988}],"concepts":[{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.785612165927887},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6286525726318359},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6252090334892273},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6096979975700378},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.5568980574607849},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.462831050157547},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.45988380908966064},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4307723045349121},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4171968102455139},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2986172139644623},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2867462635040283},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.21607166528701782},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.17222079634666443},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09583517909049988},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/twc.2015.2489640","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2015.2489640","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"},{"id":"pmh:oai:lib.dr.iastate.edu:imse_pubs-1083","is_oa":false,"landing_page_url":"https://lib.dr.iastate.edu/cgi/viewcontent.cgi?article=1083&context=imse_pubs","pdf_url":null,"source":{"id":"https://openalex.org/S4377196104","display_name":"Iowa State University Digital Repository (Iowa State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I173911158","host_organization_name":"Iowa State University","host_organization_lineage":["https://openalex.org/I173911158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Industrial and Manufacturing Systems Engineering Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2902456604","display_name":null,"funder_award_id":"61401073","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3434737125","display_name":null,"funder_award_id":"11301516","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3623203339","display_name":null,"funder_award_id":"CCF-1526078","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G603791882","display_name":"\u9762\u5411\u4fe1\u606f\u6280\u672f\u7684\u4f18\u5316\u7406\u8bba\u548c\u65b9\u6cd5","funder_award_id":"11331012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"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":55,"referenced_works":["https://openalex.org/W1540764732","https://openalex.org/W1563552735","https://openalex.org/W1564814491","https://openalex.org/W1970830346","https://openalex.org/W1974661392","https://openalex.org/W2004101329","https://openalex.org/W2012762704","https://openalex.org/W2022800466","https://openalex.org/W2039050532","https://openalex.org/W2039996159","https://openalex.org/W2050968963","https://openalex.org/W2052658038","https://openalex.org/W2058361915","https://openalex.org/W2072265605","https://openalex.org/W2079587612","https://openalex.org/W2095690595","https://openalex.org/W2098126478","https://openalex.org/W2100755644","https://openalex.org/W2101727634","https://openalex.org/W2104891202","https://openalex.org/W2108662631","https://openalex.org/W2109800347","https://openalex.org/W2110838621","https://openalex.org/W2112225694","https://openalex.org/W2118607205","https://openalex.org/W2124133545","https://openalex.org/W2125113829","https://openalex.org/W2127886694","https://openalex.org/W2129521417","https://openalex.org/W2131822606","https://openalex.org/W2136530738","https://openalex.org/W2138019504","https://openalex.org/W2144000019","https://openalex.org/W2150957592","https://openalex.org/W2151658099","https://openalex.org/W2155174176","https://openalex.org/W2157242700","https://openalex.org/W2162986857","https://openalex.org/W2163762663","https://openalex.org/W2170480998","https://openalex.org/W2232170722","https://openalex.org/W2478708596","https://openalex.org/W2544190517","https://openalex.org/W2912369344","https://openalex.org/W4242209908","https://openalex.org/W4250589301","https://openalex.org/W4289857278","https://openalex.org/W4292230442","https://openalex.org/W4294557842","https://openalex.org/W6633813593","https://openalex.org/W6633973209","https://openalex.org/W6651481188","https://openalex.org/W6678073474","https://openalex.org/W6679163605","https://openalex.org/W6689575379"],"related_works":["https://openalex.org/W2152088989","https://openalex.org/W2756419127","https://openalex.org/W4366493479","https://openalex.org/W2905893439","https://openalex.org/W2548963335","https://openalex.org/W3135374966","https://openalex.org/W2554517556","https://openalex.org/W3141240674","https://openalex.org/W4302353319","https://openalex.org/W2761543104"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,67,71,86,101,106,123,131,139,163],"downlink":[3],"linear":[4,40],"precoder":[5,33],"design":[6,34],"problem":[7,16,59,88,140],"in":[8,173],"a":[9,20,79,90,142,149],"multicell":[10,38],"dense":[11],"heterogeneous":[12],"network":[13],"(HetNet).":[14],"The":[15,57,103],"is":[17,60,166],"formulated":[18],"as":[19,28,37],"general":[21],"sum-utility":[22,132],"maximization":[23],"(SUM)":[24],"problem,":[25],"which":[26,97,134],"includes":[27],"special":[29],"cases":[30],"many":[31],"practical":[32],"problems":[35,172],"such":[36],"coordinated":[39,46],"precoding,":[41,50],"full":[42],"and":[43,51,55,66],"partial":[44],"per-cell":[45],"multipoint":[47],"transmission,":[48],"zero-forcing":[49],"joint":[52],"BS":[53],"clustering":[54],"beamforming/precoding.":[56],"SUM":[58],"difficult":[61],"due":[62],"to":[63,84,116,137],"its":[64],"nonconvexity":[65],"tight":[68],"coupling":[69],"of":[70,92,96,105,125,130],"users'":[72],"precoders.":[73],"In":[74],"this":[75],"paper,":[76],"we":[77],"propose":[78],"novel":[80],"convex":[81,93],"approximation":[82],"technique":[83],"approximate":[85],"original":[87],"by":[89],"series":[91],"subproblems,":[94],"each":[95],"decomposes":[98],"across":[99],"all":[100],"cells.":[102],"convexity":[104,128],"subproblems":[107],"allows":[108,135],"for":[109,168],"efficient":[110],"computation,":[111],"while":[112],"their":[113],"decomposability":[114],"leads":[115],"distributed":[117],"implementation.":[118],"Our":[119],"approach":[120],"hinges":[121],"upon":[122],"identification":[124],"certain":[126],"key":[127],"properties":[129],"objective,":[133],"us":[136],"transform":[138],"into":[141],"form":[143],"that":[144,162],"can":[145],"be":[146],"solved":[147],"using":[148],"popular":[150],"algorithmic":[151],"framework":[152,165],"called":[153],"block":[154],"successive":[155],"upper-bound":[156],"minimization":[157],"(BSUM).":[158],"Simulation":[159],"experiments":[160],"show":[161],"proposed":[164],"effective":[167],"solving":[169],"interference":[170],"management":[171],"large":[174],"HetNet.":[175]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}