{"id":"https://openalex.org/W2118633848","doi":"https://doi.org/10.1007/s10208-015-9254-z","title":"Every Matrix is a Product of Toeplitz Matrices","display_name":"Every Matrix is a Product of Toeplitz Matrices","publication_year":2015,"publication_date":"2015-03-02","ids":{"openalex":"https://openalex.org/W2118633848","doi":"https://doi.org/10.1007/s10208-015-9254-z","mag":"2118633848"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-015-9254-z","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":"https://arxiv.org/pdf/1307.5132.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100775242","display_name":"Ke Ye","orcid":"https://orcid.org/0000-0002-3193-7264"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ke Ye","raw_affiliation_strings":["Department of Mathematics, University of Chicago, Chicago, USA 60637-1514#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Chicago, Chicago, USA 60637-1514#TAB#","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050794507","display_name":"Lek\u2010Heng Lim","orcid":"https://orcid.org/0000-0002-9808-0138"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lek-Heng Lim","raw_affiliation_strings":["Computational and Applied Mathematics Initiative, Department of Statistics, University of Chicago, Chicago, USA 60637-1514#TAB#"],"affiliations":[{"raw_affiliation_string":"Computational and Applied Mathematics Initiative, Department of Statistics, University of Chicago, Chicago, USA 60637-1514#TAB#","institution_ids":["https://openalex.org/I40347166"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990,"provenance":"doaj"},"apc_paid":null,"fwci":6.683,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":86,"citation_normalized_percentile":{"value":0.999892,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"16","issue":"3","first_page":"577","last_page":"598"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.999,"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":0.999,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9953,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9946,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48896563}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.8424885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.83516777},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48896563},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.437693},{"id":"https://openalex.org/C149488123","wikidata":"https://www.wikidata.org/wiki/Q17098730","display_name":"Matrix analysis","level":3,"score":0.41973877},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3986314},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38437018},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3600932},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17268422},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.05636099},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.053964734},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-015-9254-z","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":null,"pdf_url":"https://arxiv.org/pdf/1307.5132.pdf","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1307.5132","pdf_url":"https://arxiv.org/pdf/1307.5132","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":null,"pdf_url":"https://arxiv.org/pdf/1307.5132.pdf","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":59,"referenced_works":["https://openalex.org/W1484902804","https://openalex.org/W1507972170","https://openalex.org/W1511121222","https://openalex.org/W1533471646","https://openalex.org/W165324816","https://openalex.org/W1713530077","https://openalex.org/W1826269386","https://openalex.org/W1973860023","https://openalex.org/W1980763573","https://openalex.org/W1982892976","https://openalex.org/W1982997091","https://openalex.org/W1988666697","https://openalex.org/W2001930277","https://openalex.org/W2003218494","https://openalex.org/W2005041367","https://openalex.org/W2013417994","https://openalex.org/W2021056680","https://openalex.org/W2024283190","https://openalex.org/W2024421349","https://openalex.org/W2028015380","https://openalex.org/W2041165203","https://openalex.org/W2042932186","https://openalex.org/W2045463928","https://openalex.org/W2055124272","https://openalex.org/W2055507002","https://openalex.org/W2061848759","https://openalex.org/W2067990945","https://openalex.org/W2080097309","https://openalex.org/W2080534610","https://openalex.org/W2083003492","https://openalex.org/W2086602363","https://openalex.org/W2093413868","https://openalex.org/W2102359897","https://openalex.org/W2102892751","https://openalex.org/W2105175671","https://openalex.org/W2105591391","https://openalex.org/W2115125420","https://openalex.org/W2121194215","https://openalex.org/W2121334962","https://openalex.org/W2128387932","https://openalex.org/W2138152282","https://openalex.org/W2143987929","https://openalex.org/W219289501","https://openalex.org/W2217655847","https://openalex.org/W2318027604","https://openalex.org/W2403201933","https://openalex.org/W2963339296","https://openalex.org/W2963471558","https://openalex.org/W2964047648","https://openalex.org/W3104119018","https://openalex.org/W3104823370","https://openalex.org/W3121144220","https://openalex.org/W4210405807","https://openalex.org/W4232632331","https://openalex.org/W4235721526","https://openalex.org/W4385836588","https://openalex.org/W4388534025","https://openalex.org/W647818151","https://openalex.org/W648869842"],"related_works":["https://openalex.org/W2976966055","https://openalex.org/W2963168325","https://openalex.org/W2955341144","https://openalex.org/W2949966822","https://openalex.org/W2386430872","https://openalex.org/W2229973481","https://openalex.org/W2117919754","https://openalex.org/W2037688035","https://openalex.org/W2008025307","https://openalex.org/W1604903594"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2118633848","counts_by_year":[{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2025-01-09T02:35:43.105653","created_date":"2016-06-24"}