{"id":"https://openalex.org/W2087830683","doi":"https://doi.org/10.1007/s11075-008-9241-4","title":"Generalized qd algorithm and Markov\u2013Bernstein inequalities for Jacobi weight","display_name":"Generalized qd algorithm and Markov\u2013Bernstein inequalities for Jacobi weight","publication_year":2008,"publication_date":"2008-10-13","ids":{"openalex":"https://openalex.org/W2087830683","doi":"https://doi.org/10.1007/s11075-008-9241-4","mag":"2087830683"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-008-9241-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-008-9241-4","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/A5069853899","display_name":"Andr\u00e9 Draux","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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Andr\u00e9 Draux","raw_affiliation_strings":["D\u00e9partement de G\u00e9nie Math\u00e9matique, INSA de Rouen, Place Emile Blondel, BP 08, 76131, Mont-Saint-Aignan Cedex, France","INSA de Rouen"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de G\u00e9nie Math\u00e9matique, INSA de Rouen, Place Emile Blondel, BP 08, 76131, Mont-Saint-Aignan Cedex, France","institution_ids":["https://openalex.org/I88814501"]},{"raw_affiliation_string":"INSA de Rouen","institution_ids":["https://openalex.org/I88814501"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036324051","display_name":"Borhane Moalla","orcid":null},"institutions":[{"id":"https://openalex.org/I4210166050","display_name":"H\u00f4pital Militaire Moulay Ismail","ror":"https://ror.org/02x0hgx61","country_code":"MA","type":"healthcare","lineage":["https://openalex.org/I4210166050"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Borhane Moalla","raw_affiliation_strings":["Acad\u00e9mie Militaire, 8012, Fondouk-Jedid, Tunisie","Acad\u00e9mie Militaire"],"affiliations":[{"raw_affiliation_string":"Acad\u00e9mie Militaire, 8012, Fondouk-Jedid, Tunisie","institution_ids":["https://openalex.org/I4210166050"]},{"raw_affiliation_string":"Acad\u00e9mie Militaire","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040738763","display_name":"Mohamed Sadik","orcid":"https://orcid.org/0000-0002-6084-7014"},"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Sadik","raw_affiliation_strings":["D\u00e9partement de G\u00e9nie Math\u00e9matique, INSA de Rouen, Place Emile Blondel, BP 08, 76131, Mont-Saint-Aignan Cedex, France","INSA de Rouen"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de G\u00e9nie Math\u00e9matique, INSA de Rouen, Place Emile Blondel, BP 08, 76131, Mont-Saint-Aignan Cedex, France","institution_ids":["https://openalex.org/I88814501"]},{"raw_affiliation_string":"INSA de Rouen","institution_ids":["https://openalex.org/I88814501"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069853899"],"corresponding_institution_ids":["https://openalex.org/I88814501"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2386,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.81060966,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"51","issue":"4","first_page":"429","last_page":"447"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9988999962806702,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9988999962806702,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9954000115394592,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9864000082015991,"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":0.8704009652137756},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6028422713279724},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6014257669448853},{"id":"https://openalex.org/keywords/bernstein-inequalities","display_name":"Bernstein inequalities","score":0.599558413028717},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.590874433517456},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.5686906576156616},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5279749035835266},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5264214873313904},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5182921290397644},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5091761946678162},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.45396479964256287},{"id":"https://openalex.org/keywords/jacobi-eigenvalue-algorithm","display_name":"Jacobi eigenvalue algorithm","score":0.4416537284851074},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3609256148338318},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33611077070236206},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2860860824584961},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24650588631629944},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.12538039684295654},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07901287078857422},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06037363409996033}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8704009652137756},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6028422713279724},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6014257669448853},{"id":"https://openalex.org/C147708781","wikidata":"https://www.wikidata.org/wiki/Q826791","display_name":"Bernstein inequalities","level":3,"score":0.599558413028717},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.590874433517456},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.5686906576156616},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5279749035835266},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5264214873313904},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5182921290397644},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5091761946678162},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45396479964256287},{"id":"https://openalex.org/C135648419","wikidata":"https://www.wikidata.org/wiki/Q1677726","display_name":"Jacobi eigenvalue algorithm","level":3,"score":0.4416537284851074},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3609256148338318},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33611077070236206},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2860860824584961},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24650588631629944},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.12538039684295654},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07901287078857422},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06037363409996033},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-008-9241-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-008-9241-4","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"},{"id":"pmh:oai:HAL:hal-02132957v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02132957","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, 2009, 51 (4), pp.429-447. &#x27E8;10.1007/s11075-008-9241-4&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W197796347","https://openalex.org/W317144991","https://openalex.org/W1582211629","https://openalex.org/W1974990950","https://openalex.org/W1986614566","https://openalex.org/W2013737143","https://openalex.org/W2039946947","https://openalex.org/W2042042475","https://openalex.org/W2096208426","https://openalex.org/W2315887874","https://openalex.org/W3022136271","https://openalex.org/W3161820760"],"related_works":["https://openalex.org/W967419144","https://openalex.org/W2381807195","https://openalex.org/W183135790","https://openalex.org/W2381799323","https://openalex.org/W43698987","https://openalex.org/W2353044947","https://openalex.org/W2165362061","https://openalex.org/W3146790254","https://openalex.org/W2052501068","https://openalex.org/W2031472999"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
