{"id":"https://openalex.org/W2949928568","doi":"https://doi.org/10.1007/978-3-030-21803-4_12","title":"Maximization of a Convex Quadratic Form on a Polytope: Factorization and the Chebyshev Norm Bounds","display_name":"Maximization of a Convex Quadratic Form on a Polytope: Factorization and the Chebyshev Norm Bounds","publication_year":2019,"publication_date":"2019-06-14","ids":{"openalex":"https://openalex.org/W2949928568","doi":"https://doi.org/10.1007/978-3-030-21803-4_12","mag":"2949928568"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-21803-4_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-21803-4_12","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5081693462","display_name":"Milan Hlad\u00edk","orcid":"https://orcid.org/0000-0002-7340-8491"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Milan Hlad\u00edk","raw_affiliation_strings":["Faculty of Mathematics and Physics, Department of Applied Mathematics, Charles University, Malostransk\u00e9 n\u00e1m.\u00a025, 11800, Prague, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0002-7340-8491","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, Department of Applied Mathematics, Charles University, Malostransk\u00e9 n\u00e1m.\u00a025, 11800, Prague, Czech Republic","institution_ids":["https://openalex.org/I21250087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037281344","display_name":"David Hartman","orcid":"https://orcid.org/0000-0003-3566-8214"},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]},{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"David Hartman","raw_affiliation_strings":["Computer Science Institute, Charles University, Malostransk\u00e9 n\u00e1m.\u00a025, 11800, Prague, Czech Republic","Institute of Computer Science of the Czech Academy of Sciences, Prague, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Institute, Charles University, Malostransk\u00e9 n\u00e1m.\u00a025, 11800, Prague, Czech Republic","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Institute of Computer Science of the Czech Academy of Sciences, Prague, Czech Republic","institution_ids":["https://openalex.org/I4210155092","https://openalex.org/I202391551"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081693462"],"corresponding_institution_ids":["https://openalex.org/I21250087"],"apc_list":null,"apc_paid":null,"fwci":0.9323,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76740506,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"119","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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":0.9995999932289124,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"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/factorization","display_name":"Factorization","score":0.7290364503860474},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6688812971115112},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5977959036827087},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5492347478866577},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5419841408729553},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.5417237281799316},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4619169235229492},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42025893926620483},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4151662588119507},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1559930145740509}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7290364503860474},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6688812971115112},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5977959036827087},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5492347478866577},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5419841408729553},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.5417237281799316},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4619169235229492},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42025893926620483},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4151662588119507},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1559930145740509},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-21803-4_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-21803-4_12","pdf_url":null,"source":{"id":"https://openalex.org/S2764905038","display_name":"Advances in intelligent systems and computing","issn_l":"2194-5357","issn":["2194-5357","2194-5365"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Intelligent Systems and Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","score":0.6399999856948853,"id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W75157487","https://openalex.org/W1499399028","https://openalex.org/W1507872748","https://openalex.org/W1512438637","https://openalex.org/W1571070457","https://openalex.org/W1988622494","https://openalex.org/W2043339930","https://openalex.org/W2065704444","https://openalex.org/W2082209326","https://openalex.org/W2098480463","https://openalex.org/W2341349967","https://openalex.org/W2486948290","https://openalex.org/W2787523326","https://openalex.org/W2894871027","https://openalex.org/W3146520007","https://openalex.org/W4211141987","https://openalex.org/W4234534407","https://openalex.org/W4246092883","https://openalex.org/W4249840661","https://openalex.org/W4292175028","https://openalex.org/W4296927103"],"related_works":["https://openalex.org/W4280529077","https://openalex.org/W2507185596","https://openalex.org/W1493684871","https://openalex.org/W4286224459","https://openalex.org/W2886567582","https://openalex.org/W4289703404","https://openalex.org/W4387265813","https://openalex.org/W3103454236","https://openalex.org/W1854082044","https://openalex.org/W3169007055"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}