{"id":"https://openalex.org/W2040587566","doi":"https://doi.org/10.1007/s11590-014-0732-z","title":"Robust SOS-convex polynomial optimization problems: exact SDP relaxations","display_name":"Robust SOS-convex polynomial optimization problems: exact SDP relaxations","publication_year":2014,"publication_date":"2014-02-25","ids":{"openalex":"https://openalex.org/W2040587566","doi":"https://doi.org/10.1007/s11590-014-0732-z","mag":"2040587566"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-014-0732-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-014-0732-z","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1307.5386","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026027785","display_name":"V. Jeyakumar","orcid":"https://orcid.org/0000-0003-0267-7800"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"V. Jeyakumar","raw_affiliation_strings":["Department of Applied Mathematics, University of New South Wales, Sydney\u00a0, 2052, Australia","University Of New south Wales"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of New South Wales, Sydney\u00a0, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"University Of New south Wales","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025579166","display_name":"Guoyin Li","orcid":"https://orcid.org/0000-0002-2099-7974"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"G. Li","raw_affiliation_strings":["Department of Applied Mathematics, University of New South Wales, Sydney\u00a0, 2052, Australia","University Of New south Wales"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of New South Wales, Sydney\u00a0, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"University Of New south Wales","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060299602","display_name":"Jos\u00e9 Vicente\u2010P\u00e9rez","orcid":"https://orcid.org/0000-0002-7064-1239"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"J. Vicente-P\u00e9rez","raw_affiliation_strings":["Department of Applied Mathematics, University of New South Wales, Sydney\u00a0, 2052, Australia","University Of New south Wales"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of New South Wales, Sydney\u00a0, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"University Of New south Wales","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026027785"],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":7.3825,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.97618044,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"9","issue":"1","first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9975000023841858,"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":0.9975000023841858,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.992900013923645,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6727964878082275},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6545741558074951},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.6401911377906799},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.6341292262077332},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.6204464435577393},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.611866295337677},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5487743020057678},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.5164099335670471},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5105050802230835},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48380059003829956},{"id":"https://openalex.org/keywords/second-order-cone-programming","display_name":"Second-order cone programming","score":0.4739018976688385},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.47389379143714905},{"id":"https://openalex.org/keywords/ellipsoid-method","display_name":"Ellipsoid method","score":0.42766863107681274},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.38548898696899414},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.370622843503952},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.3549084961414337},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15951025485992432}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6727964878082275},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6545741558074951},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.6401911377906799},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.6341292262077332},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.6204464435577393},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.611866295337677},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5487743020057678},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.5164099335670471},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5105050802230835},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48380059003829956},{"id":"https://openalex.org/C111397411","wikidata":"https://www.wikidata.org/wiki/Q7442977","display_name":"Second-order cone programming","level":4,"score":0.4739018976688385},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.47389379143714905},{"id":"https://openalex.org/C205451395","wikidata":"https://www.wikidata.org/wiki/Q378574","display_name":"Ellipsoid method","level":5,"score":0.42766863107681274},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.38548898696899414},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.370622843503952},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.3549084961414337},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15951025485992432},{"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11590-014-0732-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-014-0732-z","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1307.5386","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1307.5386","pdf_url":"https://arxiv.org/pdf/1307.5386","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"},{"id":"pmh:oai:dnet:ruarepositor::f3e4fea11a3b6c68a5de0fcfcae8db02","is_oa":false,"landing_page_url":"http://hdl.handle.net/10045/51992","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1307.5386","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1307.5386","pdf_url":"https://arxiv.org/pdf/1307.5386","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W91728630","https://openalex.org/W189633613","https://openalex.org/W653291882","https://openalex.org/W1549638383","https://openalex.org/W1559197676","https://openalex.org/W1568307856","https://openalex.org/W1585205451","https://openalex.org/W1632601927","https://openalex.org/W1964603869","https://openalex.org/W1970515840","https://openalex.org/W1974962384","https://openalex.org/W1990558081","https://openalex.org/W1995285162","https://openalex.org/W2001334051","https://openalex.org/W2003777645","https://openalex.org/W2010724422","https://openalex.org/W2011039300","https://openalex.org/W2015144913","https://openalex.org/W2049237806","https://openalex.org/W2049801480","https://openalex.org/W2076694117","https://openalex.org/W2078633272","https://openalex.org/W2089105401","https://openalex.org/W2102426156","https://openalex.org/W2105235982","https://openalex.org/W2131116400","https://openalex.org/W2140357316","https://openalex.org/W2146444777","https://openalex.org/W2165281529","https://openalex.org/W2296319761","https://openalex.org/W2321772449","https://openalex.org/W2950766825","https://openalex.org/W3105811395","https://openalex.org/W4250589301","https://openalex.org/W4251616545"],"related_works":["https://openalex.org/W2951903936","https://openalex.org/W2004392729","https://openalex.org/W4298879965","https://openalex.org/W2233303476","https://openalex.org/W2492346510","https://openalex.org/W2897697015","https://openalex.org/W2169350232","https://openalex.org/W1878408459","https://openalex.org/W2566013347","https://openalex.org/W2108515966"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}