{"id":"https://openalex.org/W1991347066","doi":"https://doi.org/10.1007/s10898-011-9749-3","title":"Think co(mpletely)positive ! Matrix properties, examples and a clustered bibliography on copositive optimization","display_name":"Think co(mpletely)positive ! Matrix properties, examples and a clustered bibliography on copositive optimization","publication_year":2011,"publication_date":"2011-08-12","ids":{"openalex":"https://openalex.org/W1991347066","doi":"https://doi.org/10.1007/s10898-011-9749-3","mag":"1991347066"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-011-9749-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-011-9749-3","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/A5023776719","display_name":"Immanuel M. Bomze","orcid":"https://orcid.org/0000-0002-6288-9226"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Immanuel M. Bomze","raw_affiliation_strings":["ISOR, University of Vienna, Vienna, Austria","ISOR, University of Vienna, Vienna, Austria#TAB#"],"affiliations":[{"raw_affiliation_string":"ISOR, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"ISOR, University of Vienna, Vienna, Austria#TAB#","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021031996","display_name":"Werner Schachinger","orcid":"https://orcid.org/0000-0003-0778-4074"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Werner Schachinger","raw_affiliation_strings":["ISOR, University of Vienna, Vienna, Austria","ISOR, University of Vienna, Vienna, Austria#TAB#"],"affiliations":[{"raw_affiliation_string":"ISOR, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"ISOR, University of Vienna, Vienna, Austria#TAB#","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008343252","display_name":"Gabriele Uchida","orcid":"https://orcid.org/0000-0002-0005-5701"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Gabriele Uchida","raw_affiliation_strings":["DAC, University of Vienna, Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"DAC, University of Vienna, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023776719"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":9.6327,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.98644287,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"52","issue":"3","first_page":"423","last_page":"445"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9965999722480774,"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":0.7684441804885864},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7109143137931824},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6516922116279602},{"id":"https://openalex.org/keywords/orthant","display_name":"Orthant","score":0.6481569409370422},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6114850640296936},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5052960515022278},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.498227596282959},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4955824613571167},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4690454602241516},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4601396322250366},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.4562562108039856},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.44325515627861023},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3792403042316437},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.179261714220047},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1678636372089386},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13664358854293823}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7684441804885864},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7109143137931824},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6516922116279602},{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.6481569409370422},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6114850640296936},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5052960515022278},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.498227596282959},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4955824613571167},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4690454602241516},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4601396322250366},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.4562562108039856},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.44325515627861023},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3792403042316437},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.179261714220047},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1678636372089386},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13664358854293823},{"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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-011-9749-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-011-9749-3","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:10.1.1.416.6492","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.416.6492","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.optimization-online.org/DB_FILE/2011/06/3057.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:jglopt:v:52:y:2012:i:3:p:423-445","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-011-9749-3","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":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":255,"referenced_works":["https://openalex.org/W27871578","https://openalex.org/W32481901","https://openalex.org/W38833649","https://openalex.org/W41842478","https://openalex.org/W43191782","https://openalex.org/W104871885","https://openalex.org/W158662597","https://openalex.org/W163427545","https://openalex.org/W167979754","https://openalex.org/W169684151","https://openalex.org/W186342685","https://openalex.org/W265679918","https://openalex.org/W269517847","https://openalex.org/W391646181","https://openalex.org/W563112638","https://openalex.org/W584634945","https://openalex.org/W585133165","https://openalex.org/W588229510","https://openalex.org/W598314002","https://openalex.org/W828079620","https://openalex.org/W854242526","https://openalex.org/W971211546","https://openalex.org/W1481481825","https://openalex.org/W1482298744","https://openalex.org/W1488435683","https://openalex.org/W1494048984","https://openalex.org/W1499399028","https://openalex.org/W1500921805","https://openalex.org/W1510442811","https://openalex.org/W1514487078","https://openalex.org/W1517044116","https://openalex.org/W1518832340","https://openalex.org/W1531172342","https://openalex.org/W1543439990","https://openalex.org/W1546734293","https://openalex.org/W1549791526","https://openalex.org/W1550538040","https://openalex.org/W1553621070","https://openalex.org/W1560632688","https://openalex.org/W1568838059","https://openalex.org/W1572246416","https://openalex.org/W1573116165","https://openalex.org/W1575354189","https://openalex.org/W1594796734","https://openalex.org/W1602583723","https://openalex.org/W1604888019","https://openalex.org/W1648460222","https://openalex.org/W1788938005","https://openalex.org/W1943347630","https://openalex.org/W1965005753","https://openalex.org/W1965094948","https://openalex.org/W1965434604","https://openalex.org/W1965898959","https://openalex.org/W1967184028","https://openalex.org/W1967344706","https://openalex.org/W1967926151","https://openalex.org/W1968098173","https://openalex.org/W1968445763","https://openalex.org/W1969120667","https://openalex.org/W1969807530","https://openalex.org/W1971027118","https://openalex.org/W1972243042","https://openalex.org/W1974534132","https://openalex.org/W1974700317","https://openalex.org/W1975781247","https://openalex.org/W1975881242","https://openalex.org/W1976209547","https://openalex.org/W1976335834","https://openalex.org/W1978504376","https://openalex.org/W1983312722","https://openalex.org/W1985037779","https://openalex.org/W1985534144","https://openalex.org/W1985997397","https://openalex.org/W1986773203","https://openalex.org/W1987255230","https://openalex.org/W1987762056","https://openalex.org/W1991398012","https://openalex.org/W1991444795","https://openalex.org/W1991921085","https://openalex.org/W1991975655","https://openalex.org/W1991976352","https://openalex.org/W1992551373","https://openalex.org/W1992629784","https://openalex.org/W1998218359","https://openalex.org/W1998727877","https://openalex.org/W1998828288","https://openalex.org/W1999584386","https://openalex.org/W2000151369","https://openalex.org/W2000342819","https://openalex.org/W2000432352","https://openalex.org/W2000586323","https://openalex.org/W2001155791","https://openalex.org/W2001392214","https://openalex.org/W2001897675","https://openalex.org/W2010364290","https://openalex.org/W2011661284","https://openalex.org/W2012068834","https://openalex.org/W2012956404","https://openalex.org/W2012957934","https://openalex.org/W2015775145","https://openalex.org/W2017288758","https://openalex.org/W2018318780","https://openalex.org/W2018913147","https://openalex.org/W2019358363","https://openalex.org/W2020760300","https://openalex.org/W2020910139","https://openalex.org/W2021991805","https://openalex.org/W2023010641","https://openalex.org/W2023336262","https://openalex.org/W2024467331","https://openalex.org/W2025660516","https://openalex.org/W2025776604","https://openalex.org/W2025986033","https://openalex.org/W2026654387","https://openalex.org/W2026856626","https://openalex.org/W2027234553","https://openalex.org/W2027544949","https://openalex.org/W2027574304","https://openalex.org/W2027671690","https://openalex.org/W2029213803","https://openalex.org/W2029500689","https://openalex.org/W2029590768","https://openalex.org/W2034615921","https://openalex.org/W2037142574","https://openalex.org/W2038084883","https://openalex.org/W2038163734","https://openalex.org/W2038334003","https://openalex.org/W2042216697","https://openalex.org/W2043470680","https://openalex.org/W2044177072","https://openalex.org/W2044385336","https://openalex.org/W2047118504","https://openalex.org/W2049231822","https://openalex.org/W2049569426","https://openalex.org/W2049904561","https://openalex.org/W2053678650","https://openalex.org/W2053882461","https://openalex.org/W2055359566","https://openalex.org/W2055545948","https://openalex.org/W2057090129","https://openalex.org/W2058594431","https://openalex.org/W2059035181","https://openalex.org/W2060311623","https://openalex.org/W2061293389","https://openalex.org/W2061781854","https://openalex.org/W2064200233","https://openalex.org/W2064578724","https://openalex.org/W2064608549","https://openalex.org/W2064755091","https://openalex.org/W2065646793","https://openalex.org/W2067526820","https://openalex.org/W2071210172","https://openalex.org/W2071529565","https://openalex.org/W2074085139","https://openalex.org/W2075881803","https://openalex.org/W2076840226","https://openalex.org/W2078600458","https://openalex.org/W2079135578","https://openalex.org/W2081494214","https://openalex.org/W2081696844","https://openalex.org/W2082422512","https://openalex.org/W2082471948","https://openalex.org/W2082603400","https://openalex.org/W2083236966","https://openalex.org/W2083533556","https://openalex.org/W2084006722","https://openalex.org/W2084502562","https://openalex.org/W2084929518","https://openalex.org/W2086079401","https://openalex.org/W2086578801","https://openalex.org/W2088536697","https://openalex.org/W2088564876","https://openalex.org/W2089203975","https://openalex.org/W2089662084","https://openalex.org/W2091278160","https://openalex.org/W2092245690","https://openalex.org/W2094304614","https://openalex.org/W2094905155","https://openalex.org/W2095393540","https://openalex.org/W2095471868","https://openalex.org/W2097900174","https://openalex.org/W2098483431","https://openalex.org/W2103836977","https://openalex.org/W2106264302","https://openalex.org/W2107888388","https://openalex.org/W2108710283","https://openalex.org/W2110540077","https://openalex.org/W2114467398","https://openalex.org/W2114927426","https://openalex.org/W2115761837","https://openalex.org/W2116371063","https://openalex.org/W2119020247","https://openalex.org/W2120146316","https://openalex.org/W2121496995","https://openalex.org/W2121815868","https://openalex.org/W2122548224","https://openalex.org/W2123082562","https://openalex.org/W2123963314","https://openalex.org/W2124038748","https://openalex.org/W2124487034","https://openalex.org/W2125448650","https://openalex.org/W2126138717","https://openalex.org/W2127694601","https://openalex.org/W2128757878","https://openalex.org/W2132687600","https://openalex.org/W2140214428","https://openalex.org/W2140320282","https://openalex.org/W2142029314","https://openalex.org/W2143251621","https://openalex.org/W2144560699","https://openalex.org/W2145108945","https://openalex.org/W2145371366","https://openalex.org/W2145512488","https://openalex.org/W2146060931","https://openalex.org/W2146732310","https://openalex.org/W2148862460","https://openalex.org/W2151898670","https://openalex.org/W2155053901","https://openalex.org/W2156860811","https://openalex.org/W2157179371","https://openalex.org/W2158681544","https://openalex.org/W2162579105","https://openalex.org/W2163155064","https://openalex.org/W2166522144","https://openalex.org/W2170358486","https://openalex.org/W2170916385","https://openalex.org/W2237769783","https://openalex.org/W2246562562","https://openalex.org/W2273859639","https://openalex.org/W2296319761","https://openalex.org/W2337794488","https://openalex.org/W2366960062","https://openalex.org/W2480987681","https://openalex.org/W2496111698","https://openalex.org/W2498073803","https://openalex.org/W2591697836","https://openalex.org/W2732824655","https://openalex.org/W2745324256","https://openalex.org/W2771012806","https://openalex.org/W2912522929","https://openalex.org/W2950357124","https://openalex.org/W3020728381","https://openalex.org/W3034208633","https://openalex.org/W3111467837","https://openalex.org/W3145163534","https://openalex.org/W4205494044","https://openalex.org/W4205795789","https://openalex.org/W4214887864","https://openalex.org/W4234713935","https://openalex.org/W4238681818","https://openalex.org/W4246092883","https://openalex.org/W4250589301","https://openalex.org/W4252085484","https://openalex.org/W4285719527","https://openalex.org/W4295016751"],"related_works":["https://openalex.org/W1987762056","https://openalex.org/W2036562274","https://openalex.org/W2269291726","https://openalex.org/W2121045497","https://openalex.org/W167979754","https://openalex.org/W2071210172","https://openalex.org/W2531901171","https://openalex.org/W1985090152","https://openalex.org/W2386411162","https://openalex.org/W1997197201"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
