{"id":"https://openalex.org/W2804548480","doi":"https://doi.org/10.1007/s11075-018-0543-x","title":"GRPIA: a new algorithm for computing interpolation polynomials","display_name":"GRPIA: a new algorithm for computing interpolation polynomials","publication_year":2018,"publication_date":"2018-05-23","ids":{"openalex":"https://openalex.org/W2804548480","doi":"https://doi.org/10.1007/s11075-018-0543-x","mag":"2804548480"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-018-0543-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0543-x","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/A5110931138","display_name":"Abderrahim Messaoudi","orcid":null},"institutions":[{"id":"https://openalex.org/I126477371","display_name":"Mohammed V University","ror":"https://ror.org/00r8w8f84","country_code":"MA","type":"education","lineage":["https://openalex.org/I126477371"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Abderrahim Messaoudi","raw_affiliation_strings":["Laboratory of Mathematics, Computing and Applications - Information Security (LabMiA-SI), Ecole Normale Sup\u00e9rieure, Mohammed V University in Rabat, Av. Mohammed Belhassan El Ouazzani, B.P. 5118, Takaddoum, Rabat, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics, Computing and Applications - Information Security (LabMiA-SI), Ecole Normale Sup\u00e9rieure, Mohammed V University in Rabat, Av. Mohammed Belhassan El Ouazzani, B.P. 5118, Takaddoum, Rabat, Morocco","institution_ids":["https://openalex.org/I126477371"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079415780","display_name":"Mohammed Errachid","orcid":"https://orcid.org/0000-0002-3050-0423"},"institutions":[{"id":"https://openalex.org/I126477371","display_name":"Mohammed V University","ror":"https://ror.org/00r8w8f84","country_code":"MA","type":"education","lineage":["https://openalex.org/I126477371"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Mohammed Errachid","raw_affiliation_strings":["Laboratory of Mathematics, Computing and Applications - Information Security (LabMiA-SI), Centre R\u00e9gional de M\u00e9tier de l\u2019Enseignement et de la Formation (CRMEF) de Rabat, Mohammed V University in Rabat, 1 Avenue Allal Alfassi, Madinat Al Irfane, B.P. 6210, 10000, Rabat, Morocco","Laboratory of Mathematics, Computing and Applications - Information Security (LabMiA-SI), Centre R\u00e9gional de M\u00e9tier de l'Enseignement et de la Formation (CRMEF) de Rabat, Mohammed V University in Rabat, 1 Avenue Allal Alfassi, Madinat Al Irfane, B.P. 6210, 10000, Rabat, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics, Computing and Applications - Information Security (LabMiA-SI), Centre R\u00e9gional de M\u00e9tier de l\u2019Enseignement et de la Formation (CRMEF) de Rabat, Mohammed V University in Rabat, 1 Avenue Allal Alfassi, Madinat Al Irfane, B.P. 6210, 10000, Rabat, Morocco","institution_ids":["https://openalex.org/I126477371"]},{"raw_affiliation_string":"Laboratory of Mathematics, Computing and Applications - Information Security (LabMiA-SI), Centre R\u00e9gional de M\u00e9tier de l'Enseignement et de la Formation (CRMEF) de Rabat, Mohammed V University in Rabat, 1 Avenue Allal Alfassi, Madinat Al Irfane, B.P. 6210, 10000, Rabat, Morocco","institution_ids":["https://openalex.org/I126477371"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107305172","display_name":"Khalide Jbilou","orcid":"https://orcid.org/0000-0001-7557-5907"},"institutions":[{"id":"https://openalex.org/I2802487185","display_name":"Universit\u00e9 du littoral c\u00f4te d'opale","ror":"https://ror.org/02gdcg342","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802487185"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Khalide Jbilou","raw_affiliation_strings":["LMPA, Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, batiment H. Poincarr\u00e9, 50 rue F. Buisson, 62280, Calais Cedex, France","LMPA, Universit\u00e9 du Littoral C\u00f4te d'Opale, batiment H. Poincarr\u00e9, 50 rue F. Buisson, 62280, Calais Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMPA, Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, batiment H. Poincarr\u00e9, 50 rue F. Buisson, 62280, Calais Cedex, France","institution_ids":["https://openalex.org/I2802487185"]},{"raw_affiliation_string":"LMPA, Universit\u00e9 du Littoral C\u00f4te d'Opale, batiment H. Poincarr\u00e9, 50 rue F. Buisson, 62280, Calais Cedex, France","institution_ids":["https://openalex.org/I2802487185"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053129551","display_name":"H. Sadok","orcid":"https://orcid.org/0000-0002-5701-4548"},"institutions":[{"id":"https://openalex.org/I2802487185","display_name":"Universit\u00e9 du littoral c\u00f4te d'opale","ror":"https://ror.org/02gdcg342","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802487185"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hassane Sadok","raw_affiliation_strings":["LMPA, Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, batiment H. Poincarr\u00e9, 50 rue F. Buisson, 62280, Calais Cedex, France","LMPA, Universit\u00e9 du Littoral C\u00f4te d'Opale, batiment H. Poincarr\u00e9, 50 rue F. Buisson, 62280, Calais Cedex, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMPA, Universit\u00e9 du Littoral C\u00f4te d\u2019Opale, batiment H. Poincarr\u00e9, 50 rue F. Buisson, 62280, Calais Cedex, France","institution_ids":["https://openalex.org/I2802487185"]},{"raw_affiliation_string":"LMPA, Universit\u00e9 du Littoral C\u00f4te d'Opale, batiment H. Poincarr\u00e9, 50 rue F. Buisson, 62280, Calais Cedex, France","institution_ids":["https://openalex.org/I2802487185"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5110931138"],"corresponding_institution_ids":["https://openalex.org/I126477371"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.023,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.73410405,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"80","issue":"1","first_page":"253","last_page":"278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9962999820709229,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9962999820709229,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9934999942779541,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9934999942779541,"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/hermite-interpolation","display_name":"Hermite interpolation","score":0.8264646530151367},{"id":"https://openalex.org/keywords/birkhoff-interpolation","display_name":"Birkhoff interpolation","score":0.7743871808052063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7476431131362915},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.6661942005157471},{"id":"https://openalex.org/keywords/lagrange-polynomial","display_name":"Lagrange polynomial","score":0.6435286402702332},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5752706527709961},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.558392345905304},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5558472871780396},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.5516699552536011},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5327537059783936},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41198065876960754},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34574830532073975},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.19368550181388855},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1434478461742401},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08059924840927124}],"concepts":[{"id":"https://openalex.org/C186429297","wikidata":"https://www.wikidata.org/wiki/Q44451","display_name":"Hermite interpolation","level":3,"score":0.8264646530151367},{"id":"https://openalex.org/C205280321","wikidata":"https://www.wikidata.org/wiki/Q3800523","display_name":"Birkhoff interpolation","level":5,"score":0.7743871808052063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7476431131362915},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.6661942005157471},{"id":"https://openalex.org/C64208722","wikidata":"https://www.wikidata.org/wiki/Q861606","display_name":"Lagrange polynomial","level":3,"score":0.6435286402702332},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5752706527709961},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.558392345905304},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5558472871780396},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.5516699552536011},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5327537059783936},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41198065876960754},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34574830532073975},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.19368550181388855},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1434478461742401},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08059924840927124},{"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/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-018-0543-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-018-0543-x","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"},{"id":"pmh:oai:HAL:hal-04409956v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04409956","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":"Numerical Algorithms, 2019, Extrapolation and Fixed Points in Memoriam Peter Wynn (1931-2017), 80 (1), pp.253-278. &#x27E8;10.1007/s11075-018-0543-x&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W280536263","https://openalex.org/W1568064256","https://openalex.org/W1576783654","https://openalex.org/W1971947347","https://openalex.org/W2009165713","https://openalex.org/W2036370633","https://openalex.org/W2040105857","https://openalex.org/W2066084782","https://openalex.org/W2074771309","https://openalex.org/W2314485382","https://openalex.org/W2588664555","https://openalex.org/W2617029467","https://openalex.org/W4250038851"],"related_works":["https://openalex.org/W1994817429","https://openalex.org/W2133632514","https://openalex.org/W2799944245","https://openalex.org/W2476620618","https://openalex.org/W2093301299","https://openalex.org/W2763237657","https://openalex.org/W2804548480","https://openalex.org/W2617029467","https://openalex.org/W1965166561","https://openalex.org/W3026431457"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
