{"id":"https://openalex.org/W4285413691","doi":"https://doi.org/10.1007/978-3-031-10522-7_16","title":"A Fast Discrete Transform for\u00a0a\u00a0Class of\u00a0Simultaneously Diagonalizable Matrices","display_name":"A Fast Discrete Transform for\u00a0a\u00a0Class of\u00a0Simultaneously Diagonalizable Matrices","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4285413691","doi":"https://doi.org/10.1007/978-3-031-10522-7_16"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-10522-7_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-10522-7_16","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5061931277","display_name":"Antonio Boccuto","orcid":"https://orcid.org/0000-0003-3795-8856"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Antonio Boccuto","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Via Vanvitelli, 1, 06123, Perugia, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Via Vanvitelli, 1, 06123, Perugia, Italy","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085223938","display_name":"Ivan Gerace","orcid":"https://orcid.org/0000-0003-1430-1712"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ivan Gerace","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Via Vanvitelli, 1, 06123, Perugia, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Via Vanvitelli, 1, 06123, Perugia, Italy","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069842007","display_name":"Valentina Giorgetti","orcid":"https://orcid.org/0000-0002-9728-5705"},"institutions":[{"id":"https://openalex.org/I4210108802","display_name":"Gestione Sistemi per l\u2019Informatica (Italy)","ror":"https://ror.org/01gyw2394","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210108802"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Valentina Giorgetti","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, viale G. B. Morgagni, 67/A, 50134, Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, viale G. B. Morgagni, 67/A, 50134, Firenze, Italy","institution_ids":["https://openalex.org/I4210108802"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061931277"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3276,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.80920614,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"214","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9961000084877014,"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":0.9961000084877014,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14438","display_name":"Advanced Scientific Research Methods","score":0.9797000288963318,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diagonalizable-matrix","display_name":"Diagonalizable matrix","score":0.8843307495117188},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6008060574531555},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35996970534324646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3131698668003082},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1415034532546997},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.139600932598114},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11317986249923706}],"concepts":[{"id":"https://openalex.org/C30072841","wikidata":"https://www.wikidata.org/wiki/Q1767080","display_name":"Diagonalizable matrix","level":4,"score":0.8843307495117188},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6008060574531555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35996970534324646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3131698668003082},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1415034532546997},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.139600932598114},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11317986249923706},{"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/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-10522-7_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-10522-7_16","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1660233191","https://openalex.org/W2001944359","https://openalex.org/W2043909302","https://openalex.org/W2052069101","https://openalex.org/W2066595939","https://openalex.org/W2085648192","https://openalex.org/W2094683396","https://openalex.org/W2116496516","https://openalex.org/W2156044886","https://openalex.org/W2793895859","https://openalex.org/W4285413691","https://openalex.org/W6607702063"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W3149741176","https://openalex.org/W2584030696","https://openalex.org/W2977088962","https://openalex.org/W4302613585","https://openalex.org/W2052952262","https://openalex.org/W4313367752","https://openalex.org/W1979597421","https://openalex.org/W2143024504","https://openalex.org/W2964016479"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
