{"id":"https://openalex.org/W4408140655","doi":"https://doi.org/10.1093/jigpal/jzaf003","title":"The determinants and the inverses of the $\\left ( \\frac{2a }{k^{2}+2},a,a\\right ) $-$L_{k}$-Toeplitz and the $(2,k^{2}+2,k^{2}+2)$-$ F_{k} $-Toeplitz matrices","display_name":"The determinants and the inverses of the $\\left ( \\frac{2a }{k^{2}+2},a,a\\right ) $-$L_{k}$-Toeplitz and the $(2,k^{2}+2,k^{2}+2)$-$ F_{k} $-Toeplitz matrices","publication_year":2025,"publication_date":"2025-01-13","ids":{"openalex":"https://openalex.org/W4408140655","doi":"https://doi.org/10.1093/jigpal/jzaf003"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzaf003","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jigpal/jzaf003","pdf_url":"https://academic.oup.com/jigpal/advance-article-pdf/doi/10.1093/jigpal/jzaf003/62211776/jzaf003.pdf","source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://academic.oup.com/jigpal/advance-article-pdf/doi/10.1093/jigpal/jzaf003/62211776/jzaf003.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034083521","display_name":"Carlos M. da Fonseca","orcid":"https://orcid.org/0000-0001-7742-4416"},"institutions":[{"id":"https://openalex.org/I136040515","display_name":"Universidad de Deusto","ror":"https://ror.org/00ne6sr39","country_code":"ES","type":"education","lineage":["https://openalex.org/I136040515"]},{"id":"https://openalex.org/I31151848","display_name":"Technical University of Sofia","ror":"https://ror.org/052prhs50","country_code":"BG","type":"education","lineage":["https://openalex.org/I31151848"]},{"id":"https://openalex.org/I4210111408","display_name":"Kuwait College of Science and Technology","ror":"https://ror.org/01vjvsj67","country_code":"KW","type":"education","lineage":["https://openalex.org/I4210111408"]}],"countries":["BG","ES","KW"],"is_corresponding":false,"raw_author_name":"Carlos M da Fonseca","raw_affiliation_strings":["Kuwait College of Science and Technology , Doha District, Safat 13133, Kuwait; Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Kliment Ohridski Blvd. 8, 1000 Sofia, Bulgaria; Chair of Computational Mathematics, University of Deusto, 48007 Bilbao, Spain","Kuwait College of Science and Technology, Doha District, Safat 13133, Kuwait","Chair of Computational Mathematics, University of Deusto, 48007 Bilbao, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kuwait College of Science and Technology , Doha District, Safat 13133, Kuwait; Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Kliment Ohridski Blvd. 8, 1000 Sofia, Bulgaria; Chair of Computational Mathematics, University of Deusto, 48007 Bilbao, Spain","institution_ids":["https://openalex.org/I4210111408","https://openalex.org/I136040515","https://openalex.org/I31151848"]},{"raw_affiliation_string":"Kuwait College of Science and Technology, Doha District, Safat 13133, Kuwait","institution_ids":["https://openalex.org/I4210111408"]},{"raw_affiliation_string":"Chair of Computational Mathematics, University of Deusto, 48007 Bilbao, Spain","institution_ids":["https://openalex.org/I136040515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018343835","display_name":"Can K\u0131z\u0131late\u015f","orcid":"https://orcid.org/0000-0002-7958-4226"},"institutions":[{"id":"https://openalex.org/I3017902709","display_name":"Zonguldak B\u00fclent Ecevit University","ror":"https://ror.org/01dvabv26","country_code":"TR","type":"education","lineage":["https://openalex.org/I3017902709"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Can Kizilate\u015f","raw_affiliation_strings":["Department of Mathematics , Zonguldak B\u00fclent Ecev\u0131t Un\u0131vers\u0131ty, Zonguldak, 67100, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Zonguldak B\u00fclent Ecev\u0131t Un\u0131vers\u0131ty, Zonguldak, 67100, Turkey","institution_ids":["https://openalex.org/I3017902709"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048652181","display_name":"Nazl\u0131han Terzio\u011flu","orcid":"https://orcid.org/0000-0002-0408-8797"},"institutions":[{"id":"https://openalex.org/I3017902709","display_name":"Zonguldak B\u00fclent Ecevit University","ror":"https://ror.org/01dvabv26","country_code":"TR","type":"education","lineage":["https://openalex.org/I3017902709"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Nazlihan Terzio\u011flu","raw_affiliation_strings":["Department of Mathematics , Zonguldak B\u00fclent Ecev\u0131t Un\u0131vers\u0131ty, Zonguldak, 67100, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Zonguldak B\u00fclent Ecev\u0131t Un\u0131vers\u0131ty, Zonguldak, 67100, Turkey","institution_ids":["https://openalex.org/I3017902709"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.978,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.73772249,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"33","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9812999963760376,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9678000211715698,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.9567388892173767},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5884861946105957},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5818915963172913},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39494433999061584},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3257492780685425}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.9567388892173767},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5884861946105957},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5818915963172913},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39494433999061584},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3257492780685425}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/jigpal/jzaf003","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jigpal/jzaf003","pdf_url":"https://academic.oup.com/jigpal/advance-article-pdf/doi/10.1093/jigpal/jzaf003/62211776/jzaf003.pdf","source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"},{"id":"pmh:oai:acikarsiv.beun.edu.tr:20.500.12628/29387","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.12628/29387","pdf_url":null,"source":{"id":"https://openalex.org/S7407055168","display_name":"Zonguldak B\u00fclent Ecevit University Institutional Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1093/jigpal/jzaf003","is_oa":true,"landing_page_url":"https://doi.org/10.1093/jigpal/jzaf003","pdf_url":"https://academic.oup.com/jigpal/advance-article-pdf/doi/10.1093/jigpal/jzaf003/62211776/jzaf003.pdf","source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408140655.pdf"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W2015700462","https://openalex.org/W2105308448","https://openalex.org/W2333194709","https://openalex.org/W2800276733","https://openalex.org/W2951359884","https://openalex.org/W2979313295","https://openalex.org/W2999092719","https://openalex.org/W3023476315","https://openalex.org/W3113383277","https://openalex.org/W3192490145","https://openalex.org/W4206148497","https://openalex.org/W4206625523","https://openalex.org/W4403205658","https://openalex.org/W4403207977","https://openalex.org/W6800128105"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2389462125","https://openalex.org/W2091997962","https://openalex.org/W151496359","https://openalex.org/W1969863203","https://openalex.org/W4220662591","https://openalex.org/W856465872","https://openalex.org/W1987843132","https://openalex.org/W4246602344","https://openalex.org/W2359223678"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"we":[4],"define":[5],"two":[6],"families":[7],"of":[8,27],"matrices":[9,32],"and":[10,17,23,30],"provide":[11],"explicit":[12],"forms":[13],"for":[14],"their":[15],"determinants":[16],"inverses.":[18],"The":[19],"results":[20],"are":[21],"general":[22],"the":[24,35],"particular":[25],"cases":[26],"some":[28],"Loeplitz":[29],"Foeplitz":[31],"considered":[33],"in":[34],"recent":[36],"literature":[37],"can":[38],"be":[39],"easily":[40],"derived.":[41]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
