{"id":"https://openalex.org/W4393055154","doi":"https://doi.org/10.1007/s11075-024-01795-y","title":"Numerical algorithms for the fast and reliable solution of periodic tridiagonal Toeplitz linear systems","display_name":"Numerical algorithms for the fast and reliable solution of periodic tridiagonal Toeplitz linear systems","publication_year":2024,"publication_date":"2024-03-21","ids":{"openalex":"https://openalex.org/W4393055154","doi":"https://doi.org/10.1007/s11075-024-01795-y"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-024-01795-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-024-01795-y","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/A5112407816","display_name":"Ji-Teng Jia","orcid":null},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ji-Teng Jia","raw_affiliation_strings":["School of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi, 710071, China","School of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi, 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi, 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi, 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100398552","display_name":"Yifan Wang","orcid":"https://orcid.org/0000-0002-2818-2331"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi-Fan Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi, 710071, China","School of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi, 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi\u2019an, Shaanxi, 710071, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi, 710071, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5112407816"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.2656,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80187801,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"98","issue":"1","first_page":"307","last_page":"324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"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":0.9994000196456909,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.994700014591217,"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/T13983","display_name":"Cybersecurity and Information Systems","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tridiagonal-matrix","display_name":"Tridiagonal matrix","score":0.9543042182922363},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.8133575916290283},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7997826337814331},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7337237596511841},{"id":"https://openalex.org/keywords/tridiagonal-matrix-algorithm","display_name":"Tridiagonal matrix algorithm","score":0.590684175491333},{"id":"https://openalex.org/keywords/levinson-recursion","display_name":"Levinson recursion","score":0.544892430305481},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5359085202217102},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.523712694644928},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4748930037021637},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38748887181282043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22281354665756226},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19917351007461548},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.06524860858917236}],"concepts":[{"id":"https://openalex.org/C51647924","wikidata":"https://www.wikidata.org/wiki/Q1755277","display_name":"Tridiagonal matrix","level":3,"score":0.9543042182922363},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.8133575916290283},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7997826337814331},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7337237596511841},{"id":"https://openalex.org/C176603272","wikidata":"https://www.wikidata.org/wiki/Q1819156","display_name":"Tridiagonal matrix algorithm","level":4,"score":0.590684175491333},{"id":"https://openalex.org/C122212055","wikidata":"https://www.wikidata.org/wiki/Q11679774","display_name":"Levinson recursion","level":3,"score":0.544892430305481},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5359085202217102},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.523712694644928},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4748930037021637},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38748887181282043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22281354665756226},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19917351007461548},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06524860858917236},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-024-01795-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-024-01795-y","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":19,"referenced_works":["https://openalex.org/W581347801","https://openalex.org/W1580403755","https://openalex.org/W1625272372","https://openalex.org/W1974294525","https://openalex.org/W1987550097","https://openalex.org/W2021689129","https://openalex.org/W2047754287","https://openalex.org/W2075735090","https://openalex.org/W2080917912","https://openalex.org/W2084049107","https://openalex.org/W2096245384","https://openalex.org/W2626803442","https://openalex.org/W2727575785","https://openalex.org/W2914492160","https://openalex.org/W4366982795","https://openalex.org/W4385410044","https://openalex.org/W4386863313","https://openalex.org/W4387087811","https://openalex.org/W4387731556"],"related_works":["https://openalex.org/W3158390160","https://openalex.org/W2029459760","https://openalex.org/W2061968434","https://openalex.org/W1786757169","https://openalex.org/W2727575785","https://openalex.org/W2144962567","https://openalex.org/W3477132","https://openalex.org/W4309994710","https://openalex.org/W1523894721","https://openalex.org/W2027444535"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
