{"id":"https://openalex.org/W1494515121","doi":"https://doi.org/10.1007/3-540-45410-1_3","title":"Solving the Birkhoff Interpolation Problem via the Critical Point Method: An Experimental Study","display_name":"Solving the Birkhoff Interpolation Problem via the Critical Point Method: An Experimental Study","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W1494515121","doi":"https://doi.org/10.1007/3-540-45410-1_3","mag":"1494515121"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45410-1_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45410-1_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5016765679","display_name":"Fabrice Rouillier","orcid":"https://orcid.org/0009-0004-2972-822X"},"institutions":[{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fabrice Rouillier","raw_affiliation_strings":["LORIA, INRIA-Lorraine, Nancy, France"],"affiliations":[{"raw_affiliation_string":"LORIA, INRIA-Lorraine, Nancy, France","institution_ids":["https://openalex.org/I4210121838","https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048254079","display_name":"Mohab Safey El Din","orcid":"https://orcid.org/0000-0001-9463-1257"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohab Safey El Din","raw_affiliation_strings":["CALFOR, LIP6, Universit\u00e9 Paris VI, Paris, France"],"affiliations":[{"raw_affiliation_string":"CALFOR, LIP6, Universit\u00e9 Paris VI, Paris, France","institution_ids":["https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041679295","display_name":"\u00c9ric Schost","orcid":"https://orcid.org/0000-0002-8638-9357"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9ric Schost","raw_affiliation_strings":["Laboratoire GAGE, \u00c9cole Polytechnique, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire GAGE, \u00c9cole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016765679"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210121838"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.6774,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81862007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"26","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9930999875068665,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9787999987602234,"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.7188365459442139},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.579239547252655},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5256549119949341},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.48153096437454224},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4464673697948456},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42986568808555603},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.42925646901130676},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.4110293686389923},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38419079780578613},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3723483085632324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3599659502506256},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35917383432388306},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.2638362646102905},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.146945059299469},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10840225219726562},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09859070181846619},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06938228011131287},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0607374906539917}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7188365459442139},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.579239547252655},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5256549119949341},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.48153096437454224},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4464673697948456},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42986568808555603},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.42925646901130676},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.4110293686389923},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38419079780578613},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3723483085632324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3599659502506256},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35917383432388306},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.2638362646102905},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.146945059299469},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10840225219726562},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09859070181846619},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06938228011131287},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0607374906539917},{"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},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-45410-1_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45410-1_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:inria-00099276v1","is_oa":false,"landing_page_url":"https://inria.hal.science/inria-00099276","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Third International Workshop on Automated Deduction in Geometry - ADG'2000, Sep 2000, Zurich, Switzerland. pp.26-40, &#x27E8;10.1007/3-540-45410-1_3&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W20998216","https://openalex.org/W29697380","https://openalex.org/W92780223","https://openalex.org/W111612204","https://openalex.org/W657913450","https://openalex.org/W968644838","https://openalex.org/W1562183207","https://openalex.org/W1969286122","https://openalex.org/W1973993014","https://openalex.org/W1991813962","https://openalex.org/W2001255903","https://openalex.org/W2007074311","https://openalex.org/W2007391649","https://openalex.org/W2007438578","https://openalex.org/W2011693299","https://openalex.org/W2031245794","https://openalex.org/W2077961479","https://openalex.org/W2082387287","https://openalex.org/W2089339786","https://openalex.org/W2130918732","https://openalex.org/W2134386365","https://openalex.org/W2151549243","https://openalex.org/W2530294986","https://openalex.org/W2621142884","https://openalex.org/W3217399827","https://openalex.org/W4229917934","https://openalex.org/W4239141340","https://openalex.org/W4244753446"],"related_works":["https://openalex.org/W1525419764","https://openalex.org/W2587745679","https://openalex.org/W2607125540","https://openalex.org/W3141602323","https://openalex.org/W2611087371","https://openalex.org/W1895124089","https://openalex.org/W2738041067","https://openalex.org/W2368391092","https://openalex.org/W4388575982","https://openalex.org/W2361579264"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
