{"id":"https://openalex.org/W2086578801","doi":"https://doi.org/10.1007/s10589-009-9243-8","title":"Multi-Standard Quadratic Optimization: interior point methods and cone programming reformulation","display_name":"Multi-Standard Quadratic Optimization: interior point methods and cone programming reformulation","publication_year":2009,"publication_date":"2009-03-31","ids":{"openalex":"https://openalex.org/W2086578801","doi":"https://doi.org/10.1007/s10589-009-9243-8","mag":"2086578801"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-009-9243-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9243-8","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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":["Dept. of Statistics and Decision Support Systems, University of Vienna, Br\u00fcnnerstr. 72, 1210, Vienna, Austria","Dept. of Statistics and Decision Support Systems, University of Vienna, Vienna, Austria 1210#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Statistics and Decision Support Systems, University of Vienna, Br\u00fcnnerstr. 72, 1210, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Dept. of Statistics and Decision Support Systems, University of Vienna, Vienna, Austria 1210#TAB#","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"last","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":["Dept. of Statistics and Decision Support Systems, University of Vienna, Br\u00fcnnerstr. 72, 1210, Vienna, Austria","Dept. of Statistics and Decision Support Systems, University of Vienna, Vienna, Austria 1210#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Statistics and Decision Support Systems, University of Vienna, Br\u00fcnnerstr. 72, 1210, Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]},{"raw_affiliation_string":"Dept. of Statistics and Decision Support Systems, University of Vienna, Vienna, Austria 1210#TAB#","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023776719"],"corresponding_institution_ids":["https://openalex.org/I129774422"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":5.2502,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.96022989,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"45","issue":"2","first_page":"237","last_page":"256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9909999966621399,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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-programming","display_name":"Quadratic programming","score":0.775720477104187},{"id":"https://openalex.org/keywords/second-order-cone-programming","display_name":"Second-order cone programming","score":0.7532804012298584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7347160577774048},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.6758909821510315},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.6432529091835022},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.6416901350021362},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6307790875434875},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.6268258094787598},{"id":"https://openalex.org/keywords/sequential-quadratic-programming","display_name":"Sequential quadratic programming","score":0.5953165888786316},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5932236313819885},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.5324248671531677},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.4955061674118042},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4804251194000244},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4619285464286804},{"id":"https://openalex.org/keywords/quadratic-form","display_name":"Quadratic form (statistics)","score":0.4299428164958954},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.34285488724708557},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3385435938835144},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2759420573711395},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1850813329219818},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13875612616539001},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.08184623718261719}],"concepts":[{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.775720477104187},{"id":"https://openalex.org/C111397411","wikidata":"https://www.wikidata.org/wiki/Q7442977","display_name":"Second-order cone programming","level":4,"score":0.7532804012298584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7347160577774048},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.6758909821510315},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.6432529091835022},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6416901350021362},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6307790875434875},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.6268258094787598},{"id":"https://openalex.org/C198927703","wikidata":"https://www.wikidata.org/wiki/Q4373881","display_name":"Sequential quadratic programming","level":3,"score":0.5953165888786316},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5932236313819885},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.5324248671531677},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.4955061674118042},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4804251194000244},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4619285464286804},{"id":"https://openalex.org/C152022596","wikidata":"https://www.wikidata.org/wiki/Q7268361","display_name":"Quadratic form (statistics)","level":2,"score":0.4299428164958954},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.34285488724708557},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3385435938835144},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2759420573711395},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1850813329219818},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13875612616539001},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.08184623718261719},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10589-009-9243-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9243-8","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W27871578","https://openalex.org/W621421879","https://openalex.org/W1481481825","https://openalex.org/W1518832340","https://openalex.org/W1526536257","https://openalex.org/W1540550673","https://openalex.org/W1549791526","https://openalex.org/W1549847953","https://openalex.org/W1604792744","https://openalex.org/W1663973292","https://openalex.org/W1967862529","https://openalex.org/W1983989471","https://openalex.org/W2027574304","https://openalex.org/W2036350498","https://openalex.org/W2039707593","https://openalex.org/W2049569426","https://openalex.org/W2063549526","https://openalex.org/W2065887373","https://openalex.org/W2066336764","https://openalex.org/W2077574412","https://openalex.org/W2078600458","https://openalex.org/W2082603400","https://openalex.org/W2082639035","https://openalex.org/W2085728653","https://openalex.org/W2086658307","https://openalex.org/W2107792892","https://openalex.org/W2121496995","https://openalex.org/W2137557016","https://openalex.org/W2142690901","https://openalex.org/W2296319761","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W4389749172","https://openalex.org/W2077274614","https://openalex.org/W3121603694","https://openalex.org/W1985181089","https://openalex.org/W2388495914","https://openalex.org/W2069426496","https://openalex.org/W2382819838","https://openalex.org/W2034618192","https://openalex.org/W2021667348","https://openalex.org/W4205876761"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
