{"id":"https://openalex.org/W362535484","doi":"https://doi.org/10.1023/a:1019177316794","title":"Rectangular matrix Pad\u00e9 approximants and square matrix orthogonal polynomials","display_name":"Rectangular matrix Pad\u00e9 approximants and square matrix orthogonal polynomials","publication_year":1997,"publication_date":"1997-05-01","ids":{"openalex":"https://openalex.org/W362535484","doi":"https://doi.org/10.1023/a:1019177316794","mag":"362535484"},"language":"en","primary_location":{"id":"doi:10.1023/a:1019177316794","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019177316794","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/A5069853899","display_name":"Andr\u00e9 Draux","orcid":null},"institutions":[{"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"]},{"id":"https://openalex.org/I88814501","display_name":"Institut National des Sciences Appliqu\u00e9es Rouen Normandie","ror":"https://ror.org/020ws7586","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I88814501"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Andr\u00e9 Draux","raw_affiliation_strings":["D\u00e9partement de G\u00e9nie Math\u00e9matique, LMI \u2013 URA CNRS 1378, INSA de Rouen, Place Emile Blondel, BP 08, F-76131, Mont-Saint-Aignan Cedex, France","D\u00e9partement de G\u00e9nie Math\u00e9matique, LMI \u2013 URA CNRS 1378, INSA de Rouen, Mont-Saint-Aignan Cedex, France"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de G\u00e9nie Math\u00e9matique, LMI \u2013 URA CNRS 1378, INSA de Rouen, Place Emile Blondel, BP 08, F-76131, Mont-Saint-Aignan Cedex, France","institution_ids":["https://openalex.org/I88814501","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"D\u00e9partement de G\u00e9nie Math\u00e9matique, LMI \u2013 URA CNRS 1378, INSA de Rouen, Mont-Saint-Aignan Cedex, France","institution_ids":["https://openalex.org/I88814501","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036324051","display_name":"Borhane Moalla","orcid":null},"institutions":[{"id":"https://openalex.org/I88814501","display_name":"Institut National des Sciences Appliqu\u00e9es Rouen Normandie","ror":"https://ror.org/020ws7586","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I88814501"]},{"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":false,"raw_author_name":"Borhane Moalla","raw_affiliation_strings":["D\u00e9partement de G\u00e9nie Math\u00e9matique, LMI \u2013 URA CNRS 1378, INSA de Rouen, Place Emile Blondel, BP 08, F-76131, Mont-Saint-Aignan Cedex, France","D\u00e9partement de G\u00e9nie Math\u00e9matique, LMI \u2013 URA CNRS 1378, INSA de Rouen, Mont-Saint-Aignan Cedex, France"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de G\u00e9nie Math\u00e9matique, LMI \u2013 URA CNRS 1378, INSA de Rouen, Place Emile Blondel, BP 08, F-76131, Mont-Saint-Aignan Cedex, France","institution_ids":["https://openalex.org/I88814501","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"D\u00e9partement de G\u00e9nie Math\u00e9matique, LMI \u2013 URA CNRS 1378, INSA de Rouen, Mont-Saint-Aignan Cedex, France","institution_ids":["https://openalex.org/I88814501","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069853899"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I88814501"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.03492485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":"4","first_page":"321","last_page":"341"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9420999884605408,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9420999884605408,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9379000067710876,"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":0.8143914937973022},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.6957223415374756},{"id":"https://openalex.org/keywords/recurrence-relation","display_name":"Recurrence relation","score":0.6530385613441467},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6271587610244751},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47160324454307556},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.46039408445358276},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4559522271156311},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4558112323284149},{"id":"https://openalex.org/keywords/formal-power-series","display_name":"Formal power series","score":0.43946659564971924},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.43027710914611816},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34825193881988525},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3284631669521332},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27837422490119934},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11337906122207642},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11115902662277222}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8143914937973022},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.6957223415374756},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.6530385613441467},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6271587610244751},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47160324454307556},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.46039408445358276},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4559522271156311},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4558112323284149},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.43946659564971924},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.43027710914611816},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34825193881988525},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3284631669521332},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27837422490119934},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11337906122207642},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11115902662277222},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1019177316794","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019177316794","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W65440877","https://openalex.org/W72864201","https://openalex.org/W194118349","https://openalex.org/W834060613","https://openalex.org/W1980951975","https://openalex.org/W1986650978","https://openalex.org/W1991987052","https://openalex.org/W1997048515","https://openalex.org/W2009394335","https://openalex.org/W2017047193","https://openalex.org/W2059342363","https://openalex.org/W2081443024","https://openalex.org/W2525277292","https://openalex.org/W4206485872","https://openalex.org/W6612400875"],"related_works":["https://openalex.org/W936279937","https://openalex.org/W2493096353","https://openalex.org/W3125460591","https://openalex.org/W2504939013","https://openalex.org/W2489863694","https://openalex.org/W2315587880","https://openalex.org/W4300493934","https://openalex.org/W2951709720","https://openalex.org/W1601481312","https://openalex.org/W4309856668"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
