{"id":"https://openalex.org/W2085612614","doi":"https://doi.org/10.1007/bf02612710","title":"On the existence and approximation of zeroes","display_name":"On the existence and approximation of zeroes","publication_year":1984,"publication_date":"1984-01-01","ids":{"openalex":"https://openalex.org/W2085612614","doi":"https://doi.org/10.1007/bf02612710","mag":"2085612614"},"language":"en","primary_location":{"id":"doi:10.1007/bf02612710","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02612710","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5111370594","display_name":"Gerard van der Laan","orcid":null},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Gerard van der Laan","raw_affiliation_strings":["Department of Actuarial Sciences and Econometrics, Free University, De Boelelaan 1081, Amsterdam, The Netherlands","Department of Actuarial Sciences and Econometrics, Free University, Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Actuarial Sciences and Econometrics, Free University, De Boelelaan 1081, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]},{"raw_affiliation_string":"Department of Actuarial Sciences and Econometrics, Free University, Amsterdam, The Netherlands","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111370594"],"corresponding_institution_ids":["https://openalex.org/I887064364"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.286,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.78585859,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"1","first_page":"1","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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":0.9994999766349792,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8386744260787964},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6760574579238892},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.6224597692489624},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.553395688533783},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5434148907661438},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5346264839172363},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4677821397781372},{"id":"https://openalex.org/keywords/antipodal-point","display_name":"Antipodal point","score":0.45679548382759094},{"id":"https://openalex.org/keywords/reflection","display_name":"Reflection (computer programming)","score":0.4357793629169464},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38954901695251465},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08653289079666138}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8386744260787964},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6760574579238892},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6224597692489624},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.553395688533783},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5434148907661438},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5346264839172363},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4677821397781372},{"id":"https://openalex.org/C70943382","wikidata":"https://www.wikidata.org/wiki/Q505356","display_name":"Antipodal point","level":2,"score":0.45679548382759094},{"id":"https://openalex.org/C65682993","wikidata":"https://www.wikidata.org/wiki/Q1056451","display_name":"Reflection (computer programming)","level":2,"score":0.4357793629169464},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38954901695251465},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08653289079666138},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02612710","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02612710","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W45305540","https://openalex.org/W241909264","https://openalex.org/W934230699","https://openalex.org/W1509343694","https://openalex.org/W1518873486","https://openalex.org/W1521219885","https://openalex.org/W1561484711","https://openalex.org/W2036062917","https://openalex.org/W2037032585","https://openalex.org/W2039270674","https://openalex.org/W2064119669","https://openalex.org/W2073181581","https://openalex.org/W2097386942","https://openalex.org/W2100225208","https://openalex.org/W2112390231","https://openalex.org/W2153961011","https://openalex.org/W2286849830","https://openalex.org/W2332072296","https://openalex.org/W2587844972","https://openalex.org/W2803826664","https://openalex.org/W4238474550","https://openalex.org/W4254646107"],"related_works":["https://openalex.org/W4390723618","https://openalex.org/W257437400","https://openalex.org/W2161334253","https://openalex.org/W4252046870","https://openalex.org/W2126408028","https://openalex.org/W2040722700","https://openalex.org/W4255081583","https://openalex.org/W2613751508","https://openalex.org/W2114405766","https://openalex.org/W4323697093"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-23T09:07:50.710637","created_date":"2025-10-10T00:00:00"}