{"id":"https://openalex.org/W2051695296","doi":"https://doi.org/10.1007/bf02149766","title":"Well-defined determinant representations for non-normal multivariate rational interpolants","display_name":"Well-defined determinant representations for non-normal multivariate rational interpolants","publication_year":1994,"publication_date":"1994-03-01","ids":{"openalex":"https://openalex.org/W2051695296","doi":"https://doi.org/10.1007/bf02149766","mag":"2051695296"},"language":"en","primary_location":{"id":"doi:10.1007/bf02149766","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02149766","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5033906637","display_name":"H. Allouche","orcid":null},"institutions":[{"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":true,"raw_author_name":"H. Allouche","raw_affiliation_strings":["UFR-IEEA, Groupe ANO, Universit\u00e9 de Lille I, B\u00e2timent M3, F-59655, Villeneuve d'Ascq Cedex, France","UFR-IEEA, Groupe ANO, Universit\u00e9 de Lille I, Villeneuve d'Ascq Cedex, France"],"affiliations":[{"raw_affiliation_string":"UFR-IEEA, Groupe ANO, Universit\u00e9 de Lille I, B\u00e2timent M3, F-59655, Villeneuve d'Ascq Cedex, France","institution_ids":["https://openalex.org/I2279609970"]},{"raw_affiliation_string":"UFR-IEEA, Groupe ANO, Universit\u00e9 de Lille I, Villeneuve d'Ascq Cedex, France","institution_ids":["https://openalex.org/I2279609970"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026465196","display_name":"Annie Cuyt","orcid":"https://orcid.org/0000-0002-9903-8775"},"institutions":[{"id":"https://openalex.org/I149213910","display_name":"University of Antwerp","ror":"https://ror.org/008x57b05","country_code":"BE","type":"education","lineage":["https://openalex.org/I149213910"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"A. Cuyt","raw_affiliation_strings":["Senior research associate NFWO,\n        Department of Mathematics and Computer Science, University of Antwerp (UIA), Universiteitsplein 1, B-2610, Wilrijk, Belgium","Department of Mathematics and Computer Science, University of Antwerp UIA, Wilrijk, Belgium#TAB#"],"affiliations":[{"raw_affiliation_string":"Senior research associate NFWO,\n        Department of Mathematics and Computer Science, University of Antwerp (UIA), Universiteitsplein 1, B-2610, Wilrijk, Belgium","institution_ids":["https://openalex.org/I149213910"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Antwerp UIA, Wilrijk, Belgium#TAB#","institution_ids":["https://openalex.org/I149213910"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033906637"],"corresponding_institution_ids":["https://openalex.org/I2279609970"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9309,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.74830429,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"1","first_page":"119","last_page":"135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9785000085830688,"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":0.9785000085830688,"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":0.9544000029563904,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8055582046508789},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.7266088724136353},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.6966419816017151},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6693339943885803},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.5781993269920349},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5746003985404968},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.48543816804885864},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45210501551628113},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.41799262166023254},{"id":"https://openalex.org/keywords/section","display_name":"Section (typography)","score":0.413012832403183},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.389843225479126},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3754866123199463},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36745959520339966},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21530985832214355},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12770402431488037},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09263738989830017},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08036366105079651}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8055582046508789},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.7266088724136353},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.6966419816017151},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6693339943885803},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.5781993269920349},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5746003985404968},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.48543816804885864},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45210501551628113},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.41799262166023254},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.413012832403183},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.389843225479126},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3754866123199463},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36745959520339966},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21530985832214355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12770402431488037},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09263738989830017},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08036366105079651},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02149766","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02149766","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1976093532","https://openalex.org/W1977709768","https://openalex.org/W1993594815","https://openalex.org/W2026539323","https://openalex.org/W2040105857"],"related_works":["https://openalex.org/W1828158523","https://openalex.org/W2049578243","https://openalex.org/W2122079181","https://openalex.org/W2000145235","https://openalex.org/W1985848810","https://openalex.org/W2889939530","https://openalex.org/W2399195672","https://openalex.org/W3121881699","https://openalex.org/W2748838164","https://openalex.org/W2066015000"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
