{"id":"https://openalex.org/W2033536176","doi":"https://doi.org/10.1090/s0025-5718-00-01194-7","title":"On simple double zeros and badly conditioned zeros of analytic functions of \ud835\udc5b variables","display_name":"On simple double zeros and badly conditioned zeros of analytic functions of \ud835\udc5b variables","publication_year":2000,"publication_date":"2000-03-01","ids":{"openalex":"https://openalex.org/W2033536176","doi":"https://doi.org/10.1090/s0025-5718-00-01194-7","mag":"2033536176"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-00-01194-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01194-7","pdf_url":"https://www.ams.org/mcom/2001-70-233/S0025-5718-00-01194-7/S0025-5718-00-01194-7.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2001-70-233/S0025-5718-00-01194-7/S0025-5718-00-01194-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003609129","display_name":"Jean\u2010Pierre Dedieu","orcid":"https://orcid.org/0000-0002-3317-669X"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Pierre Dedieu","raw_affiliation_strings":["Laboratoire Approximation et Optimisation, Universit\u00c3\u00a9 Paul Sabatier, 31062 Toulouse Cedex 04, France","Laboratoire Approximation et Optimisation, Universit\u00e9 Paul Sabatier, 31062 Toulouse Cedex 04, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Approximation et Optimisation, Universit\u00c3\u00a9 Paul Sabatier, 31062 Toulouse Cedex 04, France","institution_ids":["https://openalex.org/I134560555"]},{"raw_affiliation_string":"Laboratoire Approximation et Optimisation, Universit\u00e9 Paul Sabatier, 31062 Toulouse Cedex 04, France","institution_ids":["https://openalex.org/I134560555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108205406","display_name":"M. Shub","orcid":null},"institutions":[{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mike Shub","raw_affiliation_strings":["IBM T.J. Watson Research Center, Yorktowns Heights, New York 10598-0218"],"affiliations":[{"raw_affiliation_string":"IBM T.J. Watson Research Center, Yorktowns Heights, New York 10598-0218","institution_ids":["https://openalex.org/I4210114115"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003609129"],"corresponding_institution_ids":["https://openalex.org/I134560555"],"apc_list":null,"apc_paid":null,"fwci":1.1706,"has_fulltext":true,"cited_by_count":27,"citation_normalized_percentile":{"value":0.76120367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"70","issue":"233","first_page":"319","last_page":"327"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9220151901245117},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7556965351104736},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.6292728185653687},{"id":"https://openalex.org/keywords/analytic-function","display_name":"Analytic function","score":0.4789310395717621},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42965513467788696},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4205898344516754}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9220151901245117},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7556965351104736},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6292728185653687},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.4789310395717621},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42965513467788696},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4205898344516754},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-00-01194-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01194-7","pdf_url":"https://www.ams.org/mcom/2001-70-233/S0025-5718-00-01194-7/S0025-5718-00-01194-7.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.106.1475","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.106.1475","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/mcom/2001-70-233/S0025-5718-00-01194-7/S0025-5718-00-01194-7.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.207.258","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.207.258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ams.org/journals/mcom/2001-70-233/S0025-5718-00-01194-7/S0025-5718-00-01194-7.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-00-01194-7","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-00-01194-7","pdf_url":"https://www.ams.org/mcom/2001-70-233/S0025-5718-00-01194-7/S0025-5718-00-01194-7.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2033536176.pdf","grobid_xml":"https://content.openalex.org/works/W2033536176.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W86507280","https://openalex.org/W1527227900","https://openalex.org/W1550331971","https://openalex.org/W1568281949","https://openalex.org/W1571614612","https://openalex.org/W1590743980","https://openalex.org/W1595441304","https://openalex.org/W1965654736","https://openalex.org/W1982522946","https://openalex.org/W1995250895","https://openalex.org/W2019363796","https://openalex.org/W2063917062","https://openalex.org/W2089003198","https://openalex.org/W2592503220","https://openalex.org/W3043060850","https://openalex.org/W3144205924","https://openalex.org/W4206311976","https://openalex.org/W4214769085","https://openalex.org/W4231932295","https://openalex.org/W4301168154","https://openalex.org/W6634209668"],"related_works":["https://openalex.org/W1585007175","https://openalex.org/W2382521049","https://openalex.org/W2144385241","https://openalex.org/W2165950148","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W2994244880","https://openalex.org/W4300101996","https://openalex.org/W3101625811","https://openalex.org/W2341969494"],"abstract_inverted_index":{"We":[0],"give":[1],"a":[2,6,11,20],"numerical":[3],"criterion":[4],"for":[5],"badly":[7],"conditioned":[8],"zero":[9],"of":[10,13,19,22],"system":[12],"analytic":[14],"equations":[15],"to":[16],"be":[17],"part":[18],"cluster":[21],"two":[23],"zeros.":[24]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}