{"id":"https://openalex.org/W2594479200","doi":"https://doi.org/10.1007/s11590-017-1123-z","title":"Completely positive reformulations of polynomial optimization problems with linear constraints","display_name":"Completely positive reformulations of polynomial optimization problems with linear constraints","publication_year":2017,"publication_date":"2017-03-06","ids":{"openalex":"https://openalex.org/W2594479200","doi":"https://doi.org/10.1007/s11590-017-1123-z","mag":"2594479200"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-017-1123-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-017-1123-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":["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/A5035057914","display_name":"Wei Xia","orcid":null},"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":true,"raw_author_name":"Wei Xia","raw_affiliation_strings":["Industrial and System Engineering, Lehigh University, 200 West Packer Avenue, Bethlehem, PA, 18015, USA"],"affiliations":[{"raw_affiliation_string":"Industrial and System Engineering, Lehigh University, 200 West Packer Avenue, Bethlehem, PA, 18015, USA","institution_ids":["https://openalex.org/I186143895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025392863","display_name":"Luis F. Zuluaga","orcid":"https://orcid.org/0000-0002-3294-2401"},"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":"Luis F. Zuluaga","raw_affiliation_strings":["Industrial and System Engineering, Lehigh University, 200 West Packer Avenue, Bethlehem, PA, 18015, USA"],"affiliations":[{"raw_affiliation_string":"Industrial and System Engineering, Lehigh University, 200 West Packer Avenue, Bethlehem, PA, 18015, USA","institution_ids":["https://openalex.org/I186143895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035057914"],"corresponding_institution_ids":["https://openalex.org/I186143895"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7086,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65898175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"7","first_page":"1229","last_page":"1241"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991999864578247,"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":0.9991999864578247,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9889000058174133,"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/quadratic-growth","display_name":"Quadratic growth","score":0.7712458968162537},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.673187255859375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6678414940834045},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.5996401309967041},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5531104803085327},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.5301074981689453},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5280331373214722},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.5225000977516174},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.5156697034835815},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5021936893463135},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4971056282520294},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4731382429599762},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43817728757858276},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.4360809326171875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23571345210075378},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19330748915672302},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.1394432783126831},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.11400136351585388},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.08465266227722168},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08369463682174683},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07867628335952759}],"concepts":[{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.7712458968162537},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.673187255859375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6678414940834045},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.5996401309967041},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5531104803085327},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.5301074981689453},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5280331373214722},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.5225000977516174},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.5156697034835815},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5021936893463135},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4971056282520294},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4731382429599762},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43817728757858276},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.4360809326171875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23571345210075378},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19330748915672302},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.1394432783126831},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.11400136351585388},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.08465266227722168},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08369463682174683},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07867628335952759},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-017-1123-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-017-1123-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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1753136820","display_name":null,"funder_award_id":"CMMI-1300193","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1152198286","https://openalex.org/W1559197676","https://openalex.org/W1967344706","https://openalex.org/W1977828554","https://openalex.org/W1985181089","https://openalex.org/W1991347066","https://openalex.org/W2004392729","https://openalex.org/W2025776604","https://openalex.org/W2031494345","https://openalex.org/W2055545948","https://openalex.org/W2078600458","https://openalex.org/W2107427171","https://openalex.org/W2121021151","https://openalex.org/W2124487034","https://openalex.org/W2126381689","https://openalex.org/W2165281529","https://openalex.org/W2180827833","https://openalex.org/W2272070477","https://openalex.org/W4248179398","https://openalex.org/W6601671484"],"related_works":["https://openalex.org/W3199026565","https://openalex.org/W4323321439","https://openalex.org/W3124564720","https://openalex.org/W2952330476","https://openalex.org/W2180827833","https://openalex.org/W4293777484","https://openalex.org/W2588229150","https://openalex.org/W2031269429","https://openalex.org/W2112847829","https://openalex.org/W2047688435"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}