{"id":"https://openalex.org/W2025461000","doi":"https://doi.org/10.1137/s0895479893245103","title":"On the Use of Certain Matrix Algebras Associated with Discrete Trigonometric Transforms in Matrix Displacement Decomposition","display_name":"On the Use of Certain Matrix Algebras Associated with Discrete Trigonometric Transforms in Matrix Displacement Decomposition","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W2025461000","doi":"https://doi.org/10.1137/s0895479893245103","mag":"2025461000"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479893245103","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479893245103","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","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/A5068899786","display_name":"Enrico Bozzo","orcid":"https://orcid.org/0000-0003-4315-7203"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Enrico Bozzo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5080656991","display_name":"Carmine Di Fiore","orcid":"https://orcid.org/0000-0002-9442-129X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Carmine Di Fiore","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.3916,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.9869274,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"1","first_page":"312","last_page":"326"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9843000173568726,"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/T12504","display_name":"Mathematics and Applications","score":0.9842000007629395,"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":0.8113967180252075},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.6961641311645508},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.6015526056289673},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5300065279006958},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.506740152835846},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.46900439262390137},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.45728299021720886},{"id":"https://openalex.org/keywords/sine","display_name":"Sine","score":0.4486088454723358},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.4307463765144348}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8113967180252075},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.6961641311645508},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6015526056289673},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5300065279006958},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.506740152835846},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.46900439262390137},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.45728299021720886},{"id":"https://openalex.org/C186661526","wikidata":"https://www.wikidata.org/wiki/Q13647261","display_name":"Sine","level":2,"score":0.4486088454723358},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4307463765144348},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0895479893245103","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479893245103","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:air.uniud.it:11390/684145","is_oa":false,"landing_page_url":"http://hdl.handle.net/11390/684145","pdf_url":null,"source":{"id":"https://openalex.org/S4306401163","display_name":"Institutional Research Information System (University of Udine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129043915","host_organization_name":"University of Udine","host_organization_lineage":["https://openalex.org/I129043915"],"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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W569064703","https://openalex.org/W1504797307","https://openalex.org/W1976865075","https://openalex.org/W1989774142","https://openalex.org/W1991120508","https://openalex.org/W1993363272","https://openalex.org/W2010961009","https://openalex.org/W2031614119","https://openalex.org/W2046320424","https://openalex.org/W2047954521","https://openalex.org/W2071951248","https://openalex.org/W2072522835","https://openalex.org/W2084466783","https://openalex.org/W2086393337","https://openalex.org/W2116496516","https://openalex.org/W2134128809","https://openalex.org/W2144092036"],"related_works":["https://openalex.org/W2063166054","https://openalex.org/W2358475213","https://openalex.org/W3142213391","https://openalex.org/W2328538906","https://openalex.org/W1775321609","https://openalex.org/W2028663913","https://openalex.org/W4226341002","https://openalex.org/W2124469656","https://openalex.org/W4385749744","https://openalex.org/W2588864086"],"abstract_inverted_index":{"The":[0],"authors":[1],"extend":[2],"some":[3],"recent":[4],"results":[5],"of":[6,19,26,41,43,53,62,65,84,87],"Di":[7],"Fiore":[8],"and":[9,55,68,75],"Zellini":[10],"[Linear":[11],"Algebra.":[12],"Appl.,":[13],"to":[14,46,59],"appear],":[15],"obtaining":[16],"new":[17],"classes":[18],"formulas":[20],"for":[21],"the":[22,39,60,63,82,85],"displacement":[23],"operator-based":[24],"decomposition":[25],"matrices.":[27],"It":[28],"is":[29],"shown":[30],"how":[31],"an":[32],"arbitrary":[33],"matrix":[34,47],"can":[35],"be":[36],"expressed":[37],"as":[38],"sum":[40],"products":[42],"matrices":[44,89],"belonging":[45],"algebras":[48],"associated":[49],"with":[50,74],"certain":[51],"versions":[52],"sine":[54],"cosine":[56],"transforms.":[57],"Applications":[58],"representation":[61],"inverse":[64],"a":[66,69,91],"Toeplitz":[67,70],"plus":[71],"Hankel":[72],"matrix,":[73],"without":[76],"symmetry,":[77],"are":[78,93],"presented.":[79],"Implications":[80],"on":[81],"computation":[83],"product":[86],"these":[88],"by":[90],"vector":[92],"discussed.":[94]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
