{"id":"https://openalex.org/W1973524432","doi":"https://doi.org/10.1007/s10898-015-0277-4","title":"Generalized Farkas\u2019 lemma and gap-free duality for minimax DC optimization with polynomials and robust quadratic optimization","display_name":"Generalized Farkas\u2019 lemma and gap-free duality for minimax DC optimization with polynomials and robust quadratic optimization","publication_year":2015,"publication_date":"2015-02-11","ids":{"openalex":"https://openalex.org/W1973524432","doi":"https://doi.org/10.1007/s10898-015-0277-4","mag":"1973524432"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-015-0277-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-015-0277-4","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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/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, 2052, Australia","Department of Applied Mathematics, University of New South Wales, Sydney, Australia 2052"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of New South Wales, Sydney, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"Department of Applied Mathematics, University of New South Wales, Sydney, Australia 2052","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109069614","display_name":"G. M. Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I8991828","display_name":"Pukyong National University","ror":"https://ror.org/0433kqc49","country_code":"KR","type":"education","lineage":["https://openalex.org/I8991828"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"G. M. Lee","raw_affiliation_strings":["Department of Applied Mathematics, Pukyong National University, Busan, 608-737, Korea","Department of Applied Mathematics, Pukyong National University, Busan , Korea 608-737#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Pukyong National University, Busan, 608-737, Korea","institution_ids":["https://openalex.org/I8991828"]},{"raw_affiliation_string":"Department of Applied Mathematics, Pukyong National University, Busan , Korea 608-737#TAB#","institution_ids":["https://openalex.org/I8991828"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061213314","display_name":"Nguyen Thi Hong Linh","orcid":null},"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":"N. T. H. Linh","raw_affiliation_strings":["Department of Applied Mathematics, University of New South Wales, Sydney, 2052, Australia","Department of Applied Mathematics, University of New South Wales, Sydney, Australia 2052"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of New South Wales, Sydney, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"Department of Applied Mathematics, University of New South Wales, Sydney, Australia 2052","institution_ids":["https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026027785"],"corresponding_institution_ids":["https://openalex.org/I31746571"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":1.5139,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80672601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"64","issue":"4","first_page":"679","last_page":"702"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9993000030517578,"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":0.9993000030517578,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9990000128746033,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8291688561439514},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.6688078045845032},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6421636343002319},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.587586522102356},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5678797364234924},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5372770428657532},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5162200927734375},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.4910240173339844},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.47377753257751465},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.46771520376205444},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.44544756412506104},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.4258195161819458},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4241725206375122},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.41417625546455383},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35425418615341187},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.33031192421913147},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32565227150917053},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.29842710494995117}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8291688561439514},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.6688078045845032},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6421636343002319},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.587586522102356},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5678797364234924},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5372770428657532},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5162200927734375},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.4910240173339844},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.47377753257751465},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.46771520376205444},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.44544756412506104},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.4258195161819458},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4241725206375122},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.41417625546455383},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35425418615341187},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.33031192421913147},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32565227150917053},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.29842710494995117},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-015-0277-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-015-0277-4","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:64:y:2016:i:4:d:10.1007_s10898-015-0277-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10898-015-0277-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W81972919","https://openalex.org/W591794949","https://openalex.org/W1553702074","https://openalex.org/W1585205451","https://openalex.org/W1975585047","https://openalex.org/W1982099023","https://openalex.org/W1988833018","https://openalex.org/W1989313814","https://openalex.org/W1990494141","https://openalex.org/W1990754283","https://openalex.org/W1993400404","https://openalex.org/W2013345981","https://openalex.org/W2017029758","https://openalex.org/W2019143618","https://openalex.org/W2056846819","https://openalex.org/W2094325595","https://openalex.org/W2114605231","https://openalex.org/W2140214428","https://openalex.org/W4233192371","https://openalex.org/W4249667877","https://openalex.org/W4253214256"],"related_works":["https://openalex.org/W2010724422","https://openalex.org/W2325192077","https://openalex.org/W4233192371","https://openalex.org/W2016306996","https://openalex.org/W2423508375","https://openalex.org/W3216313338","https://openalex.org/W2950608892","https://openalex.org/W2000285254","https://openalex.org/W2963031829","https://openalex.org/W1920616923"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
