{"id":"https://openalex.org/W2003849400","doi":"https://doi.org/10.1007/s11075-012-9596-4","title":"Computing high precision Matrix Pad\u00e9 approximants","display_name":"Computing high precision Matrix Pad\u00e9 approximants","publication_year":2012,"publication_date":"2012-06-06","ids":{"openalex":"https://openalex.org/W2003849400","doi":"https://doi.org/10.1007/s11075-012-9596-4","mag":"2003849400"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-012-9596-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9596-4","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/A5108751370","display_name":"Bernhard Beckermann","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145948","display_name":"Laboratoire Paul Painlev\u00e9","ror":"https://ror.org/043n4fm24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2279609970","https://openalex.org/I4210141950","https://openalex.org/I4210145948"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Bernhard Beckermann","raw_affiliation_strings":["Laboratoire Paul Painlev\u00e9 UMR CNRS 8524 (ANO-EDP), UFR Math\u00e9matiques \u2013 M3, UST Lille, 59655, Villeneuve d\u2019Ascq Cedex, France","Laboratoire Paul Painlev\u00e9 UMR CNRS 8524 (ANO-EDP), UFR Math\u00e9matiques --- M3, UST Lille, Villeneuve d'Ascq Cedex, France 59655#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratoire Paul Painlev\u00e9 UMR CNRS 8524 (ANO-EDP), UFR Math\u00e9matiques \u2013 M3, UST Lille, 59655, Villeneuve d\u2019Ascq Cedex, France","institution_ids":["https://openalex.org/I4210145948","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire Paul Painlev\u00e9 UMR CNRS 8524 (ANO-EDP), UFR Math\u00e9matiques --- M3, UST Lille, Villeneuve d'Ascq Cedex, France 59655#TAB#","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058686143","display_name":"D. Bessis","orcid":null},"institutions":[{"id":"https://openalex.org/I48205209","display_name":"Texas Southern University","ror":"https://ror.org/05ch0aw77","country_code":"US","type":"education","lineage":["https://openalex.org/I48205209"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Bessis","raw_affiliation_strings":["Department of Physics, Texas Southern University, Houston, TX, USA","Department of Physics, Texas Southern University, Houston, USA"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Texas Southern University, Houston, TX, USA","institution_ids":["https://openalex.org/I48205209"]},{"raw_affiliation_string":"Department of Physics, Texas Southern University, Houston, USA","institution_ids":["https://openalex.org/I48205209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031778723","display_name":"Luca Perotti","orcid":"https://orcid.org/0000-0002-2091-6679"},"institutions":[{"id":"https://openalex.org/I48205209","display_name":"Texas Southern University","ror":"https://ror.org/05ch0aw77","country_code":"US","type":"education","lineage":["https://openalex.org/I48205209"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luca Perotti","raw_affiliation_strings":["Department of Physics, Texas Southern University, Houston, TX, USA","Department of Physics, Texas Southern University, Houston, USA"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Texas Southern University, Houston, TX, USA","institution_ids":["https://openalex.org/I48205209"]},{"raw_affiliation_string":"Department of Physics, Texas Southern University, Houston, USA","institution_ids":["https://openalex.org/I48205209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057191249","display_name":"D. Vrinceanu","orcid":"https://orcid.org/0000-0002-8820-9073"},"institutions":[{"id":"https://openalex.org/I48205209","display_name":"Texas Southern University","ror":"https://ror.org/05ch0aw77","country_code":"US","type":"education","lineage":["https://openalex.org/I48205209"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Vrinceanu","raw_affiliation_strings":["Department of Physics, Texas Southern University, Houston, TX, USA","Department of Physics, Texas Southern University, Houston, USA"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Texas Southern University, Houston, TX, USA","institution_ids":["https://openalex.org/I48205209"]},{"raw_affiliation_string":"Department of Physics, Texas Southern University, Houston, USA","institution_ids":["https://openalex.org/I48205209"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108751370"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210145948"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7476,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73664191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"61","issue":"2","first_page":"189","last_page":"208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12300","display_name":"Advanced Electrical Measurement Techniques","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9793000221252441,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9789000153541565,"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/equidistant","display_name":"Equidistant","score":0.8277587890625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6989843845367432},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6232501268386841},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5641170144081116},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.552608072757721},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5253714323043823},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.49463436007499695},{"id":"https://openalex.org/keywords/pad\u00e9-approximant","display_name":"Pad\u00e9 approximant","score":0.48677870631217957},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4519502818584442},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.44731929898262024},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.4148217737674713},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.375390887260437},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34009191393852234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18770360946655273},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12882786989212036},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09590941667556763},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07365134358406067}],"concepts":[{"id":"https://openalex.org/C158245278","wikidata":"https://www.wikidata.org/wiki/Q4386982","display_name":"Equidistant","level":2,"score":0.8277587890625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6989843845367432},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6232501268386841},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5641170144081116},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.552608072757721},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5253714323043823},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.49463436007499695},{"id":"https://openalex.org/C153150388","wikidata":"https://www.wikidata.org/wiki/Q2452504","display_name":"Pad\u00e9 approximant","level":2,"score":0.48677870631217957},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4519502818584442},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.44731929898262024},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.4148217737674713},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.375390887260437},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34009191393852234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18770360946655273},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12882786989212036},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09590941667556763},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07365134358406067},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-012-9596-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9596-4","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W654059483","https://openalex.org/W1504035215","https://openalex.org/W1544671383","https://openalex.org/W1628745019","https://openalex.org/W1964476623","https://openalex.org/W2004128424","https://openalex.org/W2008957088","https://openalex.org/W2032951732","https://openalex.org/W2041484863","https://openalex.org/W2073917516","https://openalex.org/W2088230218","https://openalex.org/W2100279776","https://openalex.org/W2798813531","https://openalex.org/W3105295429","https://openalex.org/W4214637200"],"related_works":["https://openalex.org/W2055230676","https://openalex.org/W2373708349","https://openalex.org/W2370379095","https://openalex.org/W2385837322","https://openalex.org/W2546071705","https://openalex.org/W2354382931","https://openalex.org/W2123581415","https://openalex.org/W2392576975","https://openalex.org/W2064284991","https://openalex.org/W2392142892"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
