{"id":"https://openalex.org/W1805753725","doi":"https://doi.org/10.1007/bfb0055096","title":"Inversion of circulant matrices over Zm","display_name":"Inversion of circulant matrices over Zm","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1805753725","doi":"https://doi.org/10.1007/bfb0055096","mag":"1805753725"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0055096","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0055096","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":"conference-paper","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/A5023356208","display_name":"Dario A. Bini","orcid":"https://orcid.org/0000-0002-5885-9411"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Dario Bini","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pisa, 56126, Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pisa, 56126, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044619255","display_name":"Gianna M. Del Corso","orcid":"https://orcid.org/0000-0002-5651-9368"},"institutions":[{"id":"https://openalex.org/I122991210","display_name":"Istituto di Scienza e Tecnologie dell'Informazione \"Alessandro Faedo\"","ror":"https://ror.org/05kacka20","country_code":"IT","type":"facility","lineage":["https://openalex.org/I122991210","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianna M. Del Corso","raw_affiliation_strings":["Istituto di Elaborazione dell'Informazione, CNR, 56126, Pisa, Italy","Istituto di Matematica Computazionale, CNR, 56126, Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto di Elaborazione dell'Informazione, CNR, 56126, Pisa, Italy","institution_ids":["https://openalex.org/I122991210"]},{"raw_affiliation_string":"Istituto di Matematica Computazionale, CNR, 56126, Pisa, Italy","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049381844","display_name":"Giovanni Manzini","orcid":"https://orcid.org/0000-0002-5047-0196"},"institutions":[{"id":"https://openalex.org/I4210136872","display_name":"Tecnologie Avanzate (Italy)","ror":"https://ror.org/04kevy945","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210136872"]},{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Manzini","raw_affiliation_strings":["Dipartimento di Scienze e Tecnologie Avanzate, Universit\u00e0 di Torino, 15100, Alessandria, Italy","Istituto di Matematica Computazionale, CNR, 56126, Pisa, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze e Tecnologie Avanzate, Universit\u00e0 di Torino, 15100, Alessandria, Italy","institution_ids":["https://openalex.org/I4210136872","https://openalex.org/I55143463"]},{"raw_affiliation_string":"Istituto di Matematica Computazionale, CNR, 56126, Pisa, Italy","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061123241","display_name":"Luciano Margara","orcid":"https://orcid.org/0000-0001-7816-1937"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luciano Margara","raw_affiliation_strings":["Dipartimento di Scienze dell'Informazione, Universit\u00e0 di Bologna, 40127, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universit\u00e0 di Bologna, 40127, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3161,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.47791165,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"719","last_page":"730"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":1.0,"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/T12162","display_name":"Cellular Automata and Applications","score":1.0,"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/T12029","display_name":"DNA and Biological Computing","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.8887829780578613},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.84031081199646},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.663846492767334},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.6044721007347107},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.6024275422096252},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5689505338668823},{"id":"https://openalex.org/keywords/log-log-plot","display_name":"Log-log plot","score":0.5387104749679565},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.47499170899391174},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46856075525283813},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46662437915802},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4218958020210266},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4199710786342621},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41952067613601685},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38968533277511597},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.367353618144989},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17649409174919128}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.8887829780578613},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.84031081199646},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.663846492767334},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6044721007347107},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.6024275422096252},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5689505338668823},{"id":"https://openalex.org/C195292467","wikidata":"https://www.wikidata.org/wiki/Q2091879","display_name":"Log-log plot","level":3,"score":0.5387104749679565},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.47499170899391174},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46856075525283813},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46662437915802},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4218958020210266},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4199710786342621},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41952067613601685},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38968533277511597},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.367353618144989},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17649409174919128},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/bfb0055096","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0055096","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"},{"id":"pmh:oai:arpi.unipi.it:11568/179035","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/179035","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"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"},{"id":"pmh:oai:arpi.unipi.it:11568/53897","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/53897","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W29127030","https://openalex.org/W583762232","https://openalex.org/W1532046361","https://openalex.org/W1568760617","https://openalex.org/W1655990431","https://openalex.org/W1973402074","https://openalex.org/W2002600082","https://openalex.org/W2017161301","https://openalex.org/W2035886699","https://openalex.org/W2038183011","https://openalex.org/W2047837169","https://openalex.org/W2083368929","https://openalex.org/W2089900710","https://openalex.org/W2110958644","https://openalex.org/W2151525607","https://openalex.org/W2179504188","https://openalex.org/W6637190722","https://openalex.org/W6638134905"],"related_works":["https://openalex.org/W3177828492","https://openalex.org/W2034415022","https://openalex.org/W2149698301","https://openalex.org/W4388372565","https://openalex.org/W63525287","https://openalex.org/W2286689764","https://openalex.org/W2026406497","https://openalex.org/W4388372654","https://openalex.org/W2105266774","https://openalex.org/W1444802581"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
