{"id":"https://openalex.org/W99616458","doi":"https://doi.org/10.1023/a:1018951020406","title":"The compass (star) identity for vector-valued rational interpolants","display_name":"The compass (star) identity for vector-valued rational interpolants","publication_year":1997,"publication_date":"1997-05-01","ids":{"openalex":"https://openalex.org/W99616458","doi":"https://doi.org/10.1023/a:1018951020406","mag":"99616458"},"language":"en","primary_location":{"id":"doi:10.1023/a:1018951020406","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018951020406","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in 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/A5081352960","display_name":"P. R. Graves-Morris","orcid":null},"institutions":[{"id":"https://openalex.org/I139894009","display_name":"University of Bradford","ror":"https://ror.org/00vs8d940","country_code":"GB","type":"education","lineage":["https://openalex.org/I139894009"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"P.R. Graves-Morris","raw_affiliation_strings":["Department of Mathematics, University of Bradford, Bradford, BD7 1DP, England","Dept. of Mathematics, University of Bradford, Bradford, England"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bradford, Bradford, BD7 1DP, England","institution_ids":["https://openalex.org/I139894009"]},{"raw_affiliation_string":"Dept. of Mathematics, University of Bradford, Bradford, England","institution_ids":["https://openalex.org/I139894009"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108751370","display_name":"Bernhard Beckermann","orcid":null},"institutions":[{"id":"https://openalex.org/I4210123210","display_name":"Laboratoire d'Optique Atmosph\u00e9rique","ror":"https://ror.org/02mdnkg28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2279609970","https://openalex.org/I2799535048","https://openalex.org/I4210123210","https://openalex.org/I4210148025"]},{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"B. Beckermann","raw_affiliation_strings":["Laboratoire d'Analyse Num\u00e9rique et d'Optimisation Universit\u00e9 de Lille 1, F-59655, Villeneuve d'Ascq, France","Laboratoire d'Analyse Num\u00e9rique et d'Optimisation Universit\u00e9 de Lille 1, Villeneuve d'Ascq, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Analyse Num\u00e9rique et d'Optimisation Universit\u00e9 de Lille 1, F-59655, Villeneuve d'Ascq, France","institution_ids":["https://openalex.org/I4210123210"]},{"raw_affiliation_string":"Laboratoire d'Analyse Num\u00e9rique et d'Optimisation Universit\u00e9 de Lille 1, Villeneuve d'Ascq, France","institution_ids":["https://openalex.org/I2279609970"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081352960"],"corresponding_institution_ids":["https://openalex.org/I139894009"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.5513,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80253257,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"7","issue":"3","first_page":"279","last_page":"294"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9922000169754028,"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":0.9922000169754028,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9908999800682068,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8208495378494263},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6384584903717041},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.5447590351104736},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5208640694618225},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4412563145160675},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4136381447315216},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3265947699546814},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18618538975715637},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1227840781211853},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07109656929969788}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8208495378494263},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6384584903717041},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.5447590351104736},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5208640694618225},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4412563145160675},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4136381447315216},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3265947699546814},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18618538975715637},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1227840781211853},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07109656929969788},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1018951020406","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1018951020406","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"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":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.6299999952316284}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W187222073","https://openalex.org/W1524305136","https://openalex.org/W1973450233","https://openalex.org/W1978769749","https://openalex.org/W1979768836","https://openalex.org/W2002003541","https://openalex.org/W2005698965","https://openalex.org/W2008017475","https://openalex.org/W2014897584","https://openalex.org/W2025143634","https://openalex.org/W2031655289","https://openalex.org/W2034024801","https://openalex.org/W2037473778","https://openalex.org/W2040544037","https://openalex.org/W2052864383","https://openalex.org/W2052897543","https://openalex.org/W2063793091","https://openalex.org/W2065935956","https://openalex.org/W2076333716","https://openalex.org/W2084276239","https://openalex.org/W2090956198","https://openalex.org/W2093661383","https://openalex.org/W2137616330","https://openalex.org/W2157210845","https://openalex.org/W2294649192","https://openalex.org/W4253774993"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W2002282073","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W4288278856"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
