{"id":"https://openalex.org/W2268876679","doi":"https://doi.org/10.1080/10556788.2017.1288729","title":"A low-rank coordinate-descent algorithm for semidefinite programming relaxations of optimal power flow","display_name":"A low-rank coordinate-descent algorithm for semidefinite programming relaxations of optimal power flow","publication_year":2017,"publication_date":"2017-02-20","ids":{"openalex":"https://openalex.org/W2268876679","doi":"https://doi.org/10.1080/10556788.2017.1288729","mag":"2268876679"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2017.1288729","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2017.1288729","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1506.08568","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003656133","display_name":"Jakub Mare\u010dek","orcid":"https://orcid.org/0000-0003-0839-0691"},"institutions":[{"id":"https://openalex.org/I4210145784","display_name":"IBM Research - Ireland","ror":"https://ror.org/04jnxr720","country_code":"IE","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210145784"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Jakub Mare\u010dek","raw_affiliation_strings":["IBM Research \u2013 Ireland, Dublin, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research \u2013 Ireland, Dublin, Ireland","institution_ids":["https://openalex.org/I4210145784"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070679093","display_name":"Martin Tak\u00e1\u010d","orcid":"https://orcid.org/0000-0001-7455-2025"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martin Tak\u00e1\u010d","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Lehigh University, Bethlehem, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Lehigh University, Bethlehem, PA, USA","institution_ids":["https://openalex.org/I186143895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003656133"],"corresponding_institution_ids":["https://openalex.org/I4210145784"],"apc_list":null,"apc_paid":null,"fwci":1.408,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.82098517,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"32","issue":"4","first_page":"849","last_page":"871"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9948999881744385,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9948999881744385,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9921000003814697,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7995036244392395},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7918241024017334},{"id":"https://openalex.org/keywords/coordinate-descent","display_name":"Coordinate descent","score":0.6673638820648193},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.623327374458313},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6057368516921997},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.5932528376579285},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.49919605255126953},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4983549118041992},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.4966457486152649},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.45014646649360657},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42510196566581726},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.3091905117034912},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26695331931114197},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.1589849293231964},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.11340588331222534}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7995036244392395},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7918241024017334},{"id":"https://openalex.org/C157553263","wikidata":"https://www.wikidata.org/wiki/Q5168004","display_name":"Coordinate descent","level":2,"score":0.6673638820648193},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.623327374458313},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6057368516921997},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.5932528376579285},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.49919605255126953},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4983549118041992},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.4966457486152649},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.45014646649360657},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42510196566581726},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.3091905117034912},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26695331931114197},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.1589849293231964},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.11340588331222534},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10556788.2017.1288729","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2017.1288729","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1506.08568","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.08568","pdf_url":"https://arxiv.org/pdf/1506.08568","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:1506.08568","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.08568","pdf_url":"https://arxiv.org/pdf/1506.08568","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":71,"referenced_works":["https://openalex.org/W35651078","https://openalex.org/W1481640635","https://openalex.org/W1482595527","https://openalex.org/W1492595025","https://openalex.org/W1509675736","https://openalex.org/W1550331971","https://openalex.org/W1571403844","https://openalex.org/W1594004154","https://openalex.org/W1670616606","https://openalex.org/W1838590309","https://openalex.org/W1965408066","https://openalex.org/W1967073510","https://openalex.org/W1968284883","https://openalex.org/W1971073840","https://openalex.org/W1978496689","https://openalex.org/W1980450998","https://openalex.org/W1984149403","https://openalex.org/W1990975970","https://openalex.org/W1996702873","https://openalex.org/W1997135619","https://openalex.org/W1999613943","https://openalex.org/W1999913571","https://openalex.org/W2000769684","https://openalex.org/W2002930568","https://openalex.org/W2005102197","https://openalex.org/W2007951771","https://openalex.org/W2019713176","https://openalex.org/W2030641329","https://openalex.org/W2032395696","https://openalex.org/W2039353469","https://openalex.org/W2042613327","https://openalex.org/W2050958701","https://openalex.org/W2051634716","https://openalex.org/W2066459185","https://openalex.org/W2079135578","https://openalex.org/W2086664392","https://openalex.org/W2093909370","https://openalex.org/W2095984592","https://openalex.org/W2104106131","https://openalex.org/W2106292145","https://openalex.org/W2106424475","https://openalex.org/W2138505091","https://openalex.org/W2141380252","https://openalex.org/W2143075842","https://openalex.org/W2147838503","https://openalex.org/W2156825077","https://openalex.org/W2157267556","https://openalex.org/W2165281529","https://openalex.org/W2170540951","https://openalex.org/W2170736358","https://openalex.org/W2201293300","https://openalex.org/W2253119352","https://openalex.org/W2259408100","https://openalex.org/W2279984491","https://openalex.org/W2292017324","https://openalex.org/W2301006480","https://openalex.org/W2374425248","https://openalex.org/W2426334170","https://openalex.org/W2529726785","https://openalex.org/W2724786773","https://openalex.org/W2963929357","https://openalex.org/W2964162744","https://openalex.org/W3097981256","https://openalex.org/W3098546508","https://openalex.org/W3100323026","https://openalex.org/W3106117336","https://openalex.org/W4231804503","https://openalex.org/W4285719527","https://openalex.org/W4297785097","https://openalex.org/W4298393077","https://openalex.org/W4301168154"],"related_works":["https://openalex.org/W2348903644","https://openalex.org/W2975050997","https://openalex.org/W2737505353","https://openalex.org/W2912522929","https://openalex.org/W1653317167","https://openalex.org/W1989828432","https://openalex.org/W2364528045","https://openalex.org/W2352839224","https://openalex.org/W2385886188","https://openalex.org/W4240313861"],"abstract_inverted_index":{"The":[0],"alternating-current":[1],"optimal":[2],"power":[3],"flow":[4],"(ACOPF)":[5],"is":[6,24],"one":[7],"of":[8,21,64],"the":[9,28,52],"best":[10],"known":[11],"non-convex":[12],"nonlinear":[13],"optimization":[14],"problems.":[15],"We":[16],"present":[17],"a":[18,47,57],"novel":[19,58],"re-formulation":[20],"ACOPF,":[22],"which":[23],"based":[25,50,61],"on":[26,51,62],"lifting":[27],"rectangular":[29],"power-voltage":[30],"rank-constrained":[31],"formulation,":[32],"and":[33],"makes":[34],"it":[35],"possible":[36],"to":[37],"derive":[38],"alternative":[39],"semidefinite":[40],"programming":[41],"relaxations.":[42],"For":[43],"those,":[44],"we":[45],"develop":[46],"first-order":[48],"method":[49],"parallel":[53],"coordinate":[54],"descent":[55],"with":[56],"closed-form":[59],"step":[60],"roots":[63],"cubic":[65],"polynomials.":[66]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}