{"id":"https://openalex.org/W2985105864","doi":"https://doi.org/10.1007/s11075-019-00816-5","title":"Accurate computations for eigenvalues of products of Cauchy-polynomial-Vandermonde matrices","display_name":"Accurate computations for eigenvalues of products of Cauchy-polynomial-Vandermonde matrices","publication_year":2019,"publication_date":"2019-11-07","ids":{"openalex":"https://openalex.org/W2985105864","doi":"https://doi.org/10.1007/s11075-019-00816-5","mag":"2985105864"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-019-00816-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00816-5","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/A5042409242","display_name":"Zhao Yang","orcid":"https://orcid.org/0000-0003-0959-6157"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhao Yang","raw_affiliation_strings":["School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, China","institution_ids":["https://openalex.org/I4610292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103115805","display_name":"Rong Huang","orcid":"https://orcid.org/0000-0002-4756-0182"},"institutions":[{"id":"https://openalex.org/I121296143","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24","country_code":"CN","type":"education","lineage":["https://openalex.org/I121296143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rong Huang","raw_affiliation_strings":["School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, 411201, Hunan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, 411201, Hunan, China","institution_ids":["https://openalex.org/I121296143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102989844","display_name":"Wei Zhu","orcid":"https://orcid.org/0000-0003-4731-0949"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Zhu","raw_affiliation_strings":["School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, China","institution_ids":["https://openalex.org/I4610292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103115805"],"corresponding_institution_ids":["https://openalex.org/I121296143"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.1974,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.82121471,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"85","issue":"1","first_page":"329","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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":0.9995999932289124,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9824000000953674,"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/vandermonde-matrix","display_name":"Vandermonde matrix","score":0.8746961951255798},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8626707196235657},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7306888103485107},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5720806121826172},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5708507895469666},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4900451898574829},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.46894192695617676},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4674113094806671},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.44211331009864807},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.4364524483680725},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4267970025539398},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41728121042251587},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3358750343322754},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3120988607406616},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11994019150733948},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1066713035106659}],"concepts":[{"id":"https://openalex.org/C55294529","wikidata":"https://www.wikidata.org/wiki/Q579544","display_name":"Vandermonde matrix","level":3,"score":0.8746961951255798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8626707196235657},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7306888103485107},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5720806121826172},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5708507895469666},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4900451898574829},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.46894192695617676},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4674113094806671},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.44211331009864807},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.4364524483680725},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4267970025539398},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41728121042251587},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3358750343322754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3120988607406616},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11994019150733948},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1066713035106659},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-019-00816-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00816-5","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":[{"id":"https://openalex.org/G2574445538","display_name":null,"funder_award_id":"11871020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4974612989","display_name":null,"funder_award_id":"2017JJ1025","funder_id":"https://openalex.org/F4320330215","funder_display_name":"Natural Science Foundation for Distinguished Young Scholars of Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320330215","display_name":"Natural Science Foundation for Distinguished Young Scholars of Hunan Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W50638871","https://openalex.org/W565573710","https://openalex.org/W1510066258","https://openalex.org/W1575791353","https://openalex.org/W1706060440","https://openalex.org/W1969924908","https://openalex.org/W1984921424","https://openalex.org/W1988043369","https://openalex.org/W1989660476","https://openalex.org/W1989782579","https://openalex.org/W2001235622","https://openalex.org/W2001548890","https://openalex.org/W2024916305","https://openalex.org/W2034510902","https://openalex.org/W2053270331","https://openalex.org/W2054260755","https://openalex.org/W2060452389","https://openalex.org/W2061521346","https://openalex.org/W2064898684","https://openalex.org/W2071653647","https://openalex.org/W2076747309","https://openalex.org/W2077166865","https://openalex.org/W2088247203","https://openalex.org/W2089064410","https://openalex.org/W2094270554","https://openalex.org/W2100510181","https://openalex.org/W2111471936","https://openalex.org/W2127877445","https://openalex.org/W2138193981","https://openalex.org/W2147081487","https://openalex.org/W2156792823","https://openalex.org/W2158200065","https://openalex.org/W2292249943","https://openalex.org/W2560684249","https://openalex.org/W2765805833","https://openalex.org/W2799953210","https://openalex.org/W2899051584","https://openalex.org/W3098068395","https://openalex.org/W4211000381","https://openalex.org/W4229811791"],"related_works":["https://openalex.org/W1988099423","https://openalex.org/W1999632616","https://openalex.org/W2384965142","https://openalex.org/W2016834887","https://openalex.org/W1755235811","https://openalex.org/W2315030772","https://openalex.org/W2985105864","https://openalex.org/W2099169296","https://openalex.org/W2352964114","https://openalex.org/W1976125652"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
