{"id":"https://openalex.org/W1980029630","doi":"https://doi.org/10.1137/090779024","title":"Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra","display_name":"Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1980029630","doi":"https://doi.org/10.1137/090779024","mag":"1980029630"},"language":"en","primary_location":{"id":"doi:10.1137/090779024","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090779024","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","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/A5062385165","display_name":"Len Bos","orcid":"https://orcid.org/0009-0006-7404-6716"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"L. Bos","raw_affiliation_strings":["[email\u00a0protected]#TAB#"],"affiliations":[{"raw_affiliation_string":"[email\u00a0protected]#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026527736","display_name":"Stefano De March\u0131","orcid":"https://orcid.org/0000-0002-2832-8476"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. De Marchi","raw_affiliation_strings":["[email\u00a0protected] and [email\u00a0protected] and [email\u00a0protected]#TAB#"],"affiliations":[{"raw_affiliation_string":"[email\u00a0protected] and [email\u00a0protected] and [email\u00a0protected]#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014073555","display_name":"Alvise Sommariva","orcid":"https://orcid.org/0000-0002-8902-8063"},"institutions":[{"id":"https://openalex.org/I119439378","display_name":"University of Verona","ror":"https://ror.org/039bp8j42","country_code":"IT","type":"education","lineage":["https://openalex.org/I119439378"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Sommariva","raw_affiliation_strings":["Dept. of Computer Science, University of Verona, Italy"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Verona, Italy","institution_ids":["https://openalex.org/I119439378"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082103769","display_name":"Michelangelo Vianello","orcid":"https://orcid.org/0000-0002-1530-1469"},"institutions":[{"id":"https://openalex.org/I119439378","display_name":"University of Verona","ror":"https://ror.org/039bp8j42","country_code":"IT","type":"education","lineage":["https://openalex.org/I119439378"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Vianello","raw_affiliation_strings":["Dept. of Computer Science, University of Verona, Italy"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, University of Verona, Italy","institution_ids":["https://openalex.org/I119439378"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062385165"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.1565,"has_fulltext":false,"cited_by_count":115,"citation_normalized_percentile":{"value":0.98940978,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"48","issue":"5","first_page":"1984","last_page":"1999"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9912999868392944,"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"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9912999868392944,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9761000275611877,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9671000242233276,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.780016303062439},{"id":"https://openalex.org/keywords/vandermonde-matrix","display_name":"Vandermonde matrix","score":0.7093259692192078},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6535528302192688},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.6046193838119507},{"id":"https://openalex.org/keywords/qr-decomposition","display_name":"QR decomposition","score":0.508756697177887},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5047248601913452},{"id":"https://openalex.org/keywords/numerical-linear-algebra","display_name":"Numerical linear algebra","score":0.4724231958389282},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4432751536369324},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.42232874035835266},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4021064043045044},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.3769003748893738},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32722729444503784},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3206014931201935},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2516151964664459},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20520412921905518},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1847410798072815},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.15254011750221252},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11480188369750977}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.780016303062439},{"id":"https://openalex.org/C55294529","wikidata":"https://www.wikidata.org/wiki/Q579544","display_name":"Vandermonde matrix","level":3,"score":0.7093259692192078},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6535528302192688},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.6046193838119507},{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.508756697177887},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5047248601913452},{"id":"https://openalex.org/C163834973","wikidata":"https://www.wikidata.org/wiki/Q2004891","display_name":"Numerical linear algebra","level":3,"score":0.4724231958389282},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4432751536369324},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.42232874035835266},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4021064043045044},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3769003748893738},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32722729444503784},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3206014931201935},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2516151964664459},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20520412921905518},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1847410798072815},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.15254011750221252},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11480188369750977},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/090779024","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090779024","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.157.3810","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.157.3810","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.unipd.it/~marcov/pdf/leja.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.307.3698","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.307.3698","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.unipd.it/~marcov/pdf/leja.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.704.810","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.704.810","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.unipd.it/%7Edemarchi/papers/LejaSiam.pdf","raw_type":"text"},{"id":"pmh:oai:www.research.unipd.it:11577/2481654","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/2481654","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320321966","display_name":"Universit\u00e0 degli Studi di Padova","ror":"https://ror.org/00240q980"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W124992232","https://openalex.org/W198631881","https://openalex.org/W1570370571","https://openalex.org/W1618539761","https://openalex.org/W1963612676","https://openalex.org/W1976584147","https://openalex.org/W1987942864","https://openalex.org/W1997245285","https://openalex.org/W2005498993","https://openalex.org/W2018247895","https://openalex.org/W2018529115","https://openalex.org/W2044695077","https://openalex.org/W2044793788","https://openalex.org/W2045116180","https://openalex.org/W2049049772","https://openalex.org/W2049398787","https://openalex.org/W2050724454","https://openalex.org/W2054195354","https://openalex.org/W2057719321","https://openalex.org/W2067866117","https://openalex.org/W2068336816","https://openalex.org/W2073058919","https://openalex.org/W2076410399","https://openalex.org/W2082089361","https://openalex.org/W2087255259","https://openalex.org/W2091354775","https://openalex.org/W2091526889","https://openalex.org/W2109990880","https://openalex.org/W2130010995","https://openalex.org/W2144044445","https://openalex.org/W2156722294","https://openalex.org/W2157845724","https://openalex.org/W2160419158","https://openalex.org/W2184765890","https://openalex.org/W2491897898","https://openalex.org/W2798909945","https://openalex.org/W3108525348"],"related_works":["https://openalex.org/W2522245970","https://openalex.org/W3163773192","https://openalex.org/W4289236997","https://openalex.org/W2902676539","https://openalex.org/W4205760564","https://openalex.org/W3094624870","https://openalex.org/W278443433","https://openalex.org/W2500257945","https://openalex.org/W2084348954","https://openalex.org/W2021525945"],"abstract_inverted_index":{"We":[0],"discuss":[1],"and":[2],"compare":[3],"two":[4],"greedy":[5],"algorithms":[6],"that":[7],"compute":[8],"discrete":[9,45],"versions":[10],"of":[11,21,39,60],"Fekete-like":[12],"points":[13,32,47,62],"for":[14],"multivariate":[15],"compact":[16],"sets":[17],"by":[18,33,48],"basic":[19],"tools":[20],"numerical":[22],"linear":[23],"algebra.":[24],"The":[25,42],"first":[26],"gives":[27],"the":[28,57],"so-called":[29],"approximate":[30],"Fekete":[31],"QR":[34],"factorization":[35,50],"with":[36,51],"column":[37],"pivoting":[38],"Vandermonde-like":[40],"matrices.":[41],"second":[43],"computes":[44],"Leja":[46],"LU":[49],"row":[52],"pivoting.":[53],"Moreover,":[54],"we":[55],"study":[56],"asymptotic":[58],"distribution":[59],"such":[61],"when":[63],"they":[64],"are":[65],"extracted":[66],"from":[67],"weakly":[68],"admissible":[69],"meshes.":[70]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}