{"id":"https://openalex.org/W47847039","doi":"https://doi.org/10.1007/978-1-4419-9569-8_4","title":"The Newton Bracketing Method for Convex Minimization: Convergence Analysis","display_name":"The Newton Bracketing Method for Convex Minimization: Convergence Analysis","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W47847039","doi":"https://doi.org/10.1007/978-1-4419-9569-8_4","mag":"47847039"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4419-9569-8_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-9569-8_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210186983","display_name":"Springer optimization and its applications","issn_l":"1931-6828","issn":["1931-6828","1931-6836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Optimization and Its Applications","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/A5067095183","display_name":"Adi Ben-Israel","orcid":"https://orcid.org/0000-0003-0698-8526"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Adi Ben-Israel","raw_affiliation_strings":["RUTCOR \u2013 Rutgers Center for Operations Research, Rutgers University, 640 Bartholomew Road, Piscataway, Piscataway, NJ, 08854-8003, USA"],"affiliations":[{"raw_affiliation_string":"RUTCOR \u2013 Rutgers Center for Operations Research, Rutgers University, 640 Bartholomew Road, Piscataway, Piscataway, NJ, 08854-8003, USA","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102799684","display_name":"Yuri Levin","orcid":"https://orcid.org/0000-0001-8182-2628"},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Yuri Levin","raw_affiliation_strings":["Queen's University"],"affiliations":[{"raw_affiliation_string":"Queen's University","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067095183"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0352349,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"49","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9975000023841858,"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":0.9940000176429749,"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/bracketing","display_name":"Bracketing (phenomenology)","score":0.8678051233291626},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6402765512466431},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5836085081100464},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5131314396858215},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4929537773132324},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4428647458553314},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.43639546632766724},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3868030309677124},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2979949712753296},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10293808579444885},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0765569806098938},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06336262822151184},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.037252187728881836}],"concepts":[{"id":"https://openalex.org/C102944935","wikidata":"https://www.wikidata.org/wiki/Q4953701","display_name":"Bracketing (phenomenology)","level":2,"score":0.8678051233291626},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6402765512466431},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5836085081100464},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5131314396858215},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4929537773132324},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4428647458553314},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.43639546632766724},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3868030309677124},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2979949712753296},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10293808579444885},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0765569806098938},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06336262822151184},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.037252187728881836},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-1-4419-9569-8_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4419-9569-8_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210186983","display_name":"Springer optimization and its applications","issn_l":"1931-6828","issn":["1931-6828","1931-6836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Springer Optimization and Its Applications","raw_type":"book-chapter"},{"id":"pmh:oai:RePEc:spr:spochp:978-1-4419-9569-8_4","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"book"},{"id":"pmh:oai:alma.01RUT_INST:11664799560004646","is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/bookChapter/The-Newton-Bracketing-Method-for-Convex/991031664388304646","pdf_url":null,"source":{"id":"https://openalex.org/S4210197018","display_name":"View","issn_l":"2688-268X","issn":["2688-268X","2688-3988"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Book Section"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W605736217","https://openalex.org/W1550563201","https://openalex.org/W1967337017","https://openalex.org/W1978593101","https://openalex.org/W1983482916","https://openalex.org/W2015263936","https://openalex.org/W2017697298","https://openalex.org/W2018506069","https://openalex.org/W2040055413","https://openalex.org/W2060223209","https://openalex.org/W2067018671","https://openalex.org/W2090963365","https://openalex.org/W2130469840","https://openalex.org/W2135161461","https://openalex.org/W2164526460","https://openalex.org/W2491360013","https://openalex.org/W4211092921","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2121662537","https://openalex.org/W2223582818","https://openalex.org/W2777188078","https://openalex.org/W4252197189","https://openalex.org/W3120365279","https://openalex.org/W3134518482","https://openalex.org/W4287391398","https://openalex.org/W4385953788","https://openalex.org/W1995866744","https://openalex.org/W4288324104"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
