{"id":"https://openalex.org/W1965094948","doi":"https://doi.org/10.1007/s10107-006-0039-7","title":"Reduction of symmetric semidefinite programs using the regular $$\\ast$$ -representation","display_name":"Reduction of symmetric semidefinite programs using the regular $$\\ast$$ -representation","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W1965094948","doi":"https://doi.org/10.1007/s10107-006-0039-7","mag":"1965094948"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-006-0039-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-006-0039-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-006-0039-7.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s10107-006-0039-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019341464","display_name":"Etienne de Klerk","orcid":"https://orcid.org/0000-0003-3377-0063"},"institutions":[{"id":"https://openalex.org/I193700539","display_name":"Tilburg University","ror":"https://ror.org/04b8v1s79","country_code":"NL","type":"education","lineage":["https://openalex.org/I193700539"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Etienne de Klerk","raw_affiliation_strings":["Department of Econometrics and Operations Research, Faculty of Economics and Business Administration, Tilburg University, P.O. Box 90153, 5000, LE Tilburg, The Netherlands","Tilburg University, Department of Econometrics and Operations Research, Faculty of Economics and Business Administration, P.O. Box 90153, 5000, LE Tilburg, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Econometrics and Operations Research, Faculty of Economics and Business Administration, Tilburg University, P.O. Box 90153, 5000, LE Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]},{"raw_affiliation_string":"Tilburg University, Department of Econometrics and Operations Research, Faculty of Economics and Business Administration, P.O. Box 90153, 5000, LE Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015696190","display_name":"Dmitrii V. \u1e56asechnik","orcid":"https://orcid.org/0000-0002-7557-6886"},"institutions":[{"id":"https://openalex.org/I193700539","display_name":"Tilburg University","ror":"https://ror.org/04b8v1s79","country_code":"NL","type":"education","lineage":["https://openalex.org/I193700539"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Dmitrii V. Pasechnik","raw_affiliation_strings":["Department of Econometrics and Operations Research, Faculty of Economics and Business Administration, Tilburg University, P.O. Box 90153, 5000, LE Tilburg, The Netherlands","Tilburg University, Department of Econometrics and Operations Research, Faculty of Economics and Business Administration, P.O. Box 90153, 5000, LE Tilburg, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Econometrics and Operations Research, Faculty of Economics and Business Administration, Tilburg University, P.O. Box 90153, 5000, LE Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]},{"raw_affiliation_string":"Tilburg University, Department of Econometrics and Operations Research, Faculty of Economics and Business Administration, P.O. Box 90153, 5000, LE Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028190074","display_name":"Alexander Schrijver","orcid":null},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]},{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Alexander Schrijver","raw_affiliation_strings":["CWI and University of Amsterdam. CWI, Kruislaan 413, 1098, SJ, Amsterdam, The Netherlands","CWI and University of Amsterdam. CWI, P.O. Box 90153, Kruislaan 413, 1098, Amsterdam, SJ, The Netherlands"],"affiliations":[{"raw_affiliation_string":"CWI and University of Amsterdam. CWI, Kruislaan 413, 1098, SJ, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"CWI and University of Amsterdam. CWI, P.O. Box 90153, Kruislaan 413, 1098, Amsterdam, SJ, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019341464"],"corresponding_institution_ids":["https://openalex.org/I193700539"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":14.8646,"has_fulltext":true,"cited_by_count":129,"citation_normalized_percentile":{"value":0.9942672,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"109","issue":"2-3","first_page":"613","last_page":"624"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.944599986076355,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.944599986076355,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.023499999195337296,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.006000000052154064,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8088549375534058},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7953001260757446},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7472479343414307},{"id":"https://openalex.org/keywords/centralizer-and-normalizer","display_name":"Centralizer and normalizer","score":0.7291955947875977},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5194758772850037},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4715728163719177},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.46059903502464294},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.45831531286239624},{"id":"https://openalex.org/keywords/permutation-matrix","display_name":"Permutation matrix","score":0.4487440288066864},{"id":"https://openalex.org/keywords/permutation-group","display_name":"Permutation group","score":0.4336026906967163},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4159354567527771},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3697029948234558},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1047067642211914},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.08181360363960266},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06903037428855896}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8088549375534058},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7953001260757446},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7472479343414307},{"id":"https://openalex.org/C75174853","wikidata":"https://www.wikidata.org/wiki/Q190629","display_name":"Centralizer and normalizer","level":2,"score":0.7291955947875977},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5194758772850037},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4715728163719177},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.46059903502464294},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.45831531286239624},{"id":"https://openalex.org/C84140500","wikidata":"https://www.wikidata.org/wiki/Q851512","display_name":"Permutation matrix","level":3,"score":0.4487440288066864},{"id":"https://openalex.org/C92957085","wikidata":"https://www.wikidata.org/wiki/Q1412905","display_name":"Permutation group","level":3,"score":0.4336026906967163},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4159354567527771},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3697029948234558},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1047067642211914},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.08181360363960266},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06903037428855896},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10107-006-0039-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-006-0039-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-006-0039-7.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/41fd0c76-4534-40c6-87d7-3999ba245dcd","is_oa":false,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/reduction-of-symmetric-semidefinite-programs-using-the-regular-representation(41fd0c76-4534-40c6-87d7-3999ba245dcd).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"de Klerk, E, Pasechnik, D V & Schrijver, A 2007, 'Reduction of symmetric semidefinite programs using the regular *-representation', Mathematical programming, vol. 109, no. 2-3, pp. 613-624. https://doi.org/10.1007/s10107-006-0039-7","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/94065","is_oa":false,"landing_page_url":"http://hdl.handle.net/10220/7625","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"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":"Journal Article"},{"id":"pmh:uvapub:oai:dare.uva.nl:publications/41fd0c76-4534-40c6-87d7-3999ba245dcd","is_oa":false,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/reduction-of-symmetric-semidefinite-programs-using-the-regular-representation(41fd0c76-4534-40c6-87d7-3999ba245dcd).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical programming, 109(2-3), 613 - 624. Springer-Verlag GmbH and Co. KG","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10107-006-0039-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-006-0039-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-006-0039-7.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320322676","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1965094948.pdf","grobid_xml":"https://content.openalex.org/works/W1965094948.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W5452359","https://openalex.org/W824928995","https://openalex.org/W1524878283","https://openalex.org/W1995518672","https://openalex.org/W1999613943","https://openalex.org/W2032958186","https://openalex.org/W2034469359","https://openalex.org/W2055993677","https://openalex.org/W2057090129","https://openalex.org/W2086778098","https://openalex.org/W2104385491","https://openalex.org/W2121547771","https://openalex.org/W2138033161","https://openalex.org/W2477521939","https://openalex.org/W4241467129","https://openalex.org/W4298236575"],"related_works":["https://openalex.org/W4301366827","https://openalex.org/W1999352684","https://openalex.org/W2033864528","https://openalex.org/W2950208222","https://openalex.org/W1996947585","https://openalex.org/W2950948653","https://openalex.org/W2045385512","https://openalex.org/W4302771748","https://openalex.org/W312188843","https://openalex.org/W4205689271"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":9}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}