{"id":"https://openalex.org/W2962785474","doi":"https://doi.org/10.1007/s10208-013-9148-x","title":"Central Swaths","display_name":"Central Swaths","publication_year":2013,"publication_date":"2013-03-29","ids":{"openalex":"https://openalex.org/W2962785474","doi":"https://doi.org/10.1007/s10208-013-9148-x","mag":"2962785474"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-013-9148-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-013-9148-x","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","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/A5015511691","display_name":"James Renegar","orcid":"https://orcid.org/0000-0002-6171-204X"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James Renegar","raw_affiliation_strings":["School of Operations Research and Information Engineering, Cornell University, Ithaca, NY, USA"],"affiliations":[{"raw_affiliation_string":"School of Operations Research and Information Engineering, Cornell University, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015511691"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4148,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82263616,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"3","first_page":"405","last_page":"454"},"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":0.9980999827384949,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.996399998664856,"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/orthant","display_name":"Orthant","score":0.8549728393554688},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.826716423034668},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.793086051940918},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.5963326096534729},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.5848795771598816},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5579589009284973},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5081260204315186},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.49577459692955017},{"id":"https://openalex.org/keywords/tangent-cone","display_name":"Tangent cone","score":0.45493775606155396},{"id":"https://openalex.org/keywords/definite-quadratic-form","display_name":"Definite quadratic form","score":0.4533592164516449},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.4371323585510254},{"id":"https://openalex.org/keywords/convex-cone","display_name":"Convex cone","score":0.4324544668197632},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4246053695678711},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.41436901688575745},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.40747201442718506},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34753865003585815},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.3412237763404846},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3164026737213135},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.27542179822921753},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.2721715271472931},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20329001545906067},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.19314101338386536},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1322462558746338},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1296679973602295},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1031256914138794},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.09719496965408325}],"concepts":[{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.8549728393554688},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.826716423034668},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.793086051940918},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.5963326096534729},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.5848795771598816},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5579589009284973},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5081260204315186},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.49577459692955017},{"id":"https://openalex.org/C149944404","wikidata":"https://www.wikidata.org/wiki/Q2392464","display_name":"Tangent cone","level":3,"score":0.45493775606155396},{"id":"https://openalex.org/C104762803","wikidata":"https://www.wikidata.org/wiki/Q1182685","display_name":"Definite quadratic form","level":5,"score":0.4533592164516449},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.4371323585510254},{"id":"https://openalex.org/C28340159","wikidata":"https://www.wikidata.org/wiki/Q2256541","display_name":"Convex cone","level":5,"score":0.4324544668197632},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4246053695678711},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.41436901688575745},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.40747201442718506},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34753865003585815},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.3412237763404846},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3164026737213135},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.27542179822921753},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.2721715271472931},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20329001545906067},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.19314101338386536},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1322462558746338},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1296679973602295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1031256914138794},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.09719496965408325},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C80695182","wikidata":"https://www.wikidata.org/wiki/Q864134","display_name":"Binary quadratic form","level":4,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-013-9148-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-013-9148-x","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1482736558","https://openalex.org/W1542970106","https://openalex.org/W1632601927","https://openalex.org/W1982302861","https://openalex.org/W2014746566","https://openalex.org/W2015734571","https://openalex.org/W2025202934","https://openalex.org/W2039611800","https://openalex.org/W2087191943","https://openalex.org/W2152309892","https://openalex.org/W2153400929","https://openalex.org/W2162471115","https://openalex.org/W2171589485","https://openalex.org/W2317283549","https://openalex.org/W2963345594","https://openalex.org/W3106307051","https://openalex.org/W3106367349","https://openalex.org/W4254106911"],"related_works":["https://openalex.org/W1531172342","https://openalex.org/W84220384","https://openalex.org/W2085341163","https://openalex.org/W4239963714","https://openalex.org/W3153975732","https://openalex.org/W2054608381","https://openalex.org/W1965358437","https://openalex.org/W2962785474","https://openalex.org/W21211370","https://openalex.org/W2071210172"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-07-30T00:00:00"}
