{"id":"https://openalex.org/W1994878770","doi":"https://doi.org/10.1007/s10208-000-0009-z","title":"The Nesterov?Todd Direction and Its Relation to Weighted Analytic Centers","display_name":"The Nesterov?Todd Direction and Its Relation to Weighted Analytic Centers","publication_year":2003,"publication_date":"2003-02-10","ids":{"openalex":"https://openalex.org/W1994878770","doi":"https://doi.org/10.1007/s10208-000-0009-z","mag":"1994878770"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-000-0009-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-000-0009-z","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/A5072196179","display_name":"Raphael Hauser","orcid":"https://orcid.org/0000-0002-1166-5329"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Raphael Hauser","raw_affiliation_strings":["OUCL,\nWolfson Building,\nParks Road,\nOxford OX1 3QD, United Kingdom","OUCL, Wolfson Building, Parks Road, Oxford OX1 3QD, United Kingdom#TAB#"],"affiliations":[{"raw_affiliation_string":"OUCL,\nWolfson Building,\nParks Road,\nOxford OX1 3QD, United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"OUCL, Wolfson Building, Parks Road, Oxford OX1 3QD, United Kingdom#TAB#","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072196179"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.1148688,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":"1","first_page":"1","last_page":"40"},"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":0.9991000294685364,"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/mathematics","display_name":"Mathematics","score":0.8674434423446655},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6097034215927124},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5966730117797852},{"id":"https://openalex.org/keywords/linear-map","display_name":"Linear map","score":0.5428760647773743},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5137063264846802},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.49187493324279785},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4410141706466675},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.42389652132987976},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34608596563339233},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32193073630332947},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.320675253868103},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28957119584083557}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8674434423446655},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6097034215927124},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5966730117797852},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.5428760647773743},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5137063264846802},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.49187493324279785},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4410141706466675},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.42389652132987976},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34608596563339233},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32193073630332947},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.320675253868103},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28957119584083557},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10208-000-0009-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-000-0009-z","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"},{"id":"pmh:uuid:4d47ddf7-30fd-492b-a101-ba6fff008c56","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"http://eprints.maths.ox.ac.uk/1205","raw_type":"Technical Report"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.6.1781","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.1781","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.comlab.ox.ac.uk/pub/Documents/techreports/NA-03-01.ps","raw_type":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:4d47ddf7-30fd-492b-a101-ba6fff008c56","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:4d47ddf7-30fd-492b-a101-ba6fff008c56","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprints.maths.ox.ac.uk/1205","raw_type":"Report"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:d84aacef-449b-433b-abf5-c4cf681400d9","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:d84aacef-449b-433b-abf5-c4cf681400d9","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements at Oxford","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W182881619","https://openalex.org/W562765753","https://openalex.org/W639426076","https://openalex.org/W1570961610","https://openalex.org/W1624156688","https://openalex.org/W1976726550","https://openalex.org/W1981344649","https://openalex.org/W1989395545","https://openalex.org/W2006980285","https://openalex.org/W2010324532","https://openalex.org/W2012110988","https://openalex.org/W2014282494","https://openalex.org/W2021428356","https://openalex.org/W2039763880","https://openalex.org/W2044061073","https://openalex.org/W2046872182","https://openalex.org/W2068674826","https://openalex.org/W2077119768","https://openalex.org/W2077274614","https://openalex.org/W2093249882","https://openalex.org/W2117065890","https://openalex.org/W2125815834","https://openalex.org/W2154089483","https://openalex.org/W2165323796","https://openalex.org/W2242397769","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2965106131","https://openalex.org/W2114808974","https://openalex.org/W2094757704","https://openalex.org/W25030584","https://openalex.org/W29231041","https://openalex.org/W2610104823","https://openalex.org/W2074889170","https://openalex.org/W2092044038","https://openalex.org/W2144582354","https://openalex.org/W3125179639"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}