{"id":"https://openalex.org/W2138578830","doi":"https://doi.org/10.1007/bf01099648","title":"Global optimization for the Biaffine Matrix Inequality problem","display_name":"Global optimization for the Biaffine Matrix Inequality problem","publication_year":1995,"publication_date":"1995-12-01","ids":{"openalex":"https://openalex.org/W2138578830","doi":"https://doi.org/10.1007/bf01099648","mag":"2138578830"},"language":"en","primary_location":{"id":"doi:10.1007/bf01099648","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01099648","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":true,"oa_status":"green","oa_url":"http://doi.org/10.1007/BF01099648","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108084631","display_name":"Keat-Choon Goh","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I4210116219","display_name":"Engineering Systems (United States)","ror":"https://ror.org/02qg60849","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Keat-Choon Goh","raw_affiliation_strings":["Electrical Engineering - Systems, University of Southern California, 90089-2563, Los Angeles, CA, USA","Electrical Engineering - Systems, University of Southern California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering - Systems, University of Southern California, 90089-2563, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"]},{"raw_affiliation_string":"Electrical Engineering - Systems, University of Southern California, Los Angeles, USA","institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009292012","display_name":"Michael G. Safonov","orcid":"https://orcid.org/0000-0002-6756-982X"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I4210116219","display_name":"Engineering Systems (United States)","ror":"https://ror.org/02qg60849","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael G. Safonov","raw_affiliation_strings":["Electrical Engineering - Systems, University of Southern California, 90089-2563, Los Angeles, CA, USA","Electrical Engineering - Systems, University of Southern California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering - Systems, University of Southern California, 90089-2563, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"]},{"raw_affiliation_string":"Electrical Engineering - Systems, University of Southern California, Los Angeles, USA","institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031498207","display_name":"George P. Papavassilopoulos","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I4210116219","display_name":"Engineering Systems (United States)","ror":"https://ror.org/02qg60849","country_code":"US","type":"company","lineage":["https://openalex.org/I4210116219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"George P. Papavassilopoulos","raw_affiliation_strings":["Electrical Engineering - Systems, University of Southern California, 90089-2563, Los Angeles, CA, USA","Electrical Engineering - Systems, University of Southern California, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering - Systems, University of Southern California, 90089-2563, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"]},{"raw_affiliation_string":"Electrical Engineering - Systems, University of Southern California, Los Angeles, USA","institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108084631"],"corresponding_institution_ids":["https://openalex.org/I1174212","https://openalex.org/I4210116219"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":0.7376,"has_fulltext":false,"cited_by_count":112,"citation_normalized_percentile":{"value":0.76136784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"7","issue":"4","first_page":"365","last_page":"380"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T13855","display_name":"Aerospace Engineering and Control Systems","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.994700014591217,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7535109519958496},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7220591306686401},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.6516179442405701},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6457892656326294},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5843284130096436},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5135236382484436},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.47959104180336},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4687381386756897},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4660212993621826},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.4427710771560669},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4282175302505493},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3547373116016388},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.22943422198295593},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19725504517555237},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15728935599327087}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7535109519958496},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7220591306686401},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.6516179442405701},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6457892656326294},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5843284130096436},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5135236382484436},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.47959104180336},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4687381386756897},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4660212993621826},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.4427710771560669},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4282175302505493},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3547373116016388},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.22943422198295593},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19725504517555237},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15728935599327087},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/bf01099648","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01099648","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:CiteSeerX.psu:10.1.1.334.940","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.334.940","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.control.ece.ntua.gr/papers/72.pdf","raw_type":"text"},{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/24067","is_oa":true,"landing_page_url":"http://doi.org/10.1007/BF01099648","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Global Optimization","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dspace.lib.ntua.gr:123456789/24067","is_oa":true,"landing_page_url":"http://doi.org/10.1007/BF01099648","pdf_url":null,"source":{"id":"https://openalex.org/S4377196837","display_name":"DSpace - NTUA (National Technical University of Athens)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I174458059","host_organization_name":"National Technical University of Athens","host_organization_lineage":["https://openalex.org/I174458059"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Global Optimization","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W31309311","https://openalex.org/W151332464","https://openalex.org/W198837200","https://openalex.org/W391578156","https://openalex.org/W1496845253","https://openalex.org/W1499399028","https://openalex.org/W1505731132","https://openalex.org/W1558831267","https://openalex.org/W1632601927","https://openalex.org/W1706764203","https://openalex.org/W1937324737","https://openalex.org/W1969144558","https://openalex.org/W1976953966","https://openalex.org/W1978108972","https://openalex.org/W2011039300","https://openalex.org/W2014746566","https://openalex.org/W2032173185","https://openalex.org/W2034235667","https://openalex.org/W2048881327","https://openalex.org/W2053913299","https://openalex.org/W2061962896","https://openalex.org/W2070226140","https://openalex.org/W2075074720","https://openalex.org/W2080162860","https://openalex.org/W2089024379","https://openalex.org/W2096765873","https://openalex.org/W2096932376","https://openalex.org/W2098954338","https://openalex.org/W2123173024","https://openalex.org/W2141820132","https://openalex.org/W2157590940","https://openalex.org/W2221469269","https://openalex.org/W2326806701","https://openalex.org/W2610857016","https://openalex.org/W2911959114","https://openalex.org/W2912522929","https://openalex.org/W3085903176","https://openalex.org/W3210839039","https://openalex.org/W4237874270","https://openalex.org/W4239256746","https://openalex.org/W4246226828","https://openalex.org/W4285719527","https://openalex.org/W4301435544","https://openalex.org/W6758859383","https://openalex.org/W6908102635","https://openalex.org/W7008583937"],"related_works":["https://openalex.org/W2036562274","https://openalex.org/W2121045497","https://openalex.org/W2269291726","https://openalex.org/W2128202699","https://openalex.org/W2239063252","https://openalex.org/W1985090152","https://openalex.org/W4391995034","https://openalex.org/W2386411162","https://openalex.org/W1997197201","https://openalex.org/W2014318473"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
