{"id":"https://openalex.org/W4300103149","doi":"https://doi.org/10.1007/978-0-387-74759-0_574","title":"Saddle Point Theory and Optimality Conditions","display_name":"Saddle Point Theory and Optimality Conditions","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W4300103149","doi":"https://doi.org/10.1007/978-0-387-74759-0_574"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-74759-0_574","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_574","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","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/A5109486816","display_name":"J\u00f8rgen Tind","orcid":null},"institutions":[{"id":"https://openalex.org/I4210088332","display_name":"University College Copenhagen","ror":"https://ror.org/004r9h172","country_code":"DK","type":"education","lineage":["https://openalex.org/I4210088332"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"J\u00f8rgen Tind","raw_affiliation_strings":["University Copenhagen, Copenhagen, Denmark"],"affiliations":[{"raw_affiliation_string":"University Copenhagen, Copenhagen, Denmark","institution_ids":["https://openalex.org/I4210088332"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109486816"],"corresponding_institution_ids":["https://openalex.org/I4210088332"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.52787866,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3355","last_page":"3357"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9979000091552734,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/saddle-point","display_name":"Saddle point","score":0.7833019495010376},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.6488964557647705},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5146397352218628},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40335866808891296},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.37067580223083496},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35912024974823},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23267653584480286},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16696953773498535}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7833019495010376},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.6488964557647705},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5146397352218628},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40335866808891296},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.37067580223083496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35912024974823},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23267653584480286},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16696953773498535}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-74759-0_574","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_574","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2226091610","https://openalex.org/W4249667877","https://openalex.org/W4396738453"],"related_works":["https://openalex.org/W4251991913","https://openalex.org/W2304837213","https://openalex.org/W2156639132","https://openalex.org/W2492564948","https://openalex.org/W2061016405","https://openalex.org/W183576326","https://openalex.org/W3147406161","https://openalex.org/W1547557978","https://openalex.org/W4297897038","https://openalex.org/W2117657913"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}