{"id":"https://openalex.org/W62140381","doi":"https://doi.org/10.1007/978-3-642-22015-9_5","title":"Approximately Solving Semidefinite Programs","display_name":"Approximately Solving Semidefinite Programs","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W62140381","doi":"https://doi.org/10.1007/978-3-642-22015-9_5","mag":"62140381"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-22015-9_5","doi":"https://doi.org/10.1007/978-3-642-22015-9_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22015-9_5","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Approximation Algorithms and Semidefinite Programming","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W1540529426","display_name":"Approximation Algorithms and Semidefinite Programming"},"type":"book-chapter","is_traditional":true,"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/A5017124525","display_name":"Bernd G\u00e4rtner","orcid":"https://orcid.org/0000-0002-5492-9347","observed_orcids":["https://orcid.org/0000-0002-5492-9347"]},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I4405253798","display_name":"Institute of Theoretical Computer Science","ror":"https://ror.org/013q9v540","country_code":"CH","type":"facility","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088","https://openalex.org/I4405253798"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Bernd G\u00e4rtner","raw_affiliation_strings":["Institute of Theoretical Computer Science, ETH Zurich, Zurich, Switzerland","[ETH, Zurich]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Computer Science, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088","https://openalex.org/I4405253798"]},{"raw_affiliation_string":"[ETH, Zurich]","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070164050","display_name":"Ji\u0159\u00ed Matou\u0161ek","orcid":"https://orcid.org/0000-0002-9447-0366","observed_orcids":["https://orcid.org/0000-0002-9447-0366"]},"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":false,"raw_author_name":"Ji\u0159\u00ed Matou\u0161ek","raw_affiliation_strings":["Department of Applied Mathematics, Charles University, Prague 1, Czech Republic","Charles University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Charles University, Prague 1, Czech Republic","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Charles University,","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"75","last_page":"98"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9940999746322632,"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":0.9940999746322632,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.004000000189989805,"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/T10792","display_name":"Matrix Theory and Algorithms","score":9.999999747378752e-05,"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/semidefinite-programming","display_name":"semidefinite programming","score":0.9750000238418579},{"id":"https://openalex.org/keywords/polynomial-time-algorithms","display_name":"polynomial-time algorithms","score":0.7799999713897705},{"id":"https://openalex.org/keywords/approximate-solutions","display_name":"approximate solutions","score":0.675000011920929},{"id":"https://openalex.org/keywords/numerical-accuracy","display_name":"numerical accuracy","score":0.37700000405311584}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6651073098182678},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.5246755480766296},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.475408136844635},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43747472763061523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4283216595649719},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42685091495513916},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3849616050720215},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15010228753089905},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12866777181625366},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.042597055435180664}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-22015-9_5","doi":"https://doi.org/10.1007/978-3-642-22015-9_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-22015-9_5","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Approximation Algorithms and Semidefinite Programming","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1540529426","https://openalex.org/W7095149716","https://openalex.org/W2239063252","https://openalex.org/W1710695182","https://openalex.org/W7098418900","https://openalex.org/W2090499159","https://openalex.org/W1639981145","https://openalex.org/W2373757919","https://openalex.org/W2014029180","https://openalex.org/W7100007499"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}