{"id":"https://openalex.org/W2045295714","doi":"https://doi.org/10.1145/1005285.1005304","title":"FFPACK","display_name":"FFPACK","publication_year":2004,"publication_date":"2004-07-04","ids":{"openalex":"https://openalex.org/W2045295714","doi":"https://doi.org/10.1145/1005285.1005304","mag":"2045295714"},"language":"en","primary_location":{"id":"doi:10.1145/1005285.1005304","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1005285.1005304","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-article"},"type":"preprint","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/A5091337059","display_name":"Jean\u2010Guillaume Dumas","orcid":"https://orcid.org/0000-0002-2591-172X"},"institutions":[{"id":"https://openalex.org/I177483745","display_name":"Universit\u00e9 Joseph Fourier","ror":"https://ror.org/02aj0kh94","country_code":"FR","type":"education","lineage":["https://openalex.org/I177483745"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Guillaume Dumas","raw_affiliation_strings":["Universit\u00e9 Joseph Fourier, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Joseph Fourier, Grenoble, France","institution_ids":["https://openalex.org/I177483745"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064771365","display_name":"Pascal Giorgi","orcid":"https://orcid.org/0000-0002-0489-5134"},"institutions":[{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pascal Giorgi","raw_affiliation_strings":["Lab. de l'Informatique du Parall\u00e9lisme, C\u00e9dex, France"],"affiliations":[{"raw_affiliation_string":"Lab. de l'Informatique du Parall\u00e9lisme, C\u00e9dex, France","institution_ids":["https://openalex.org/I4210144566"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079752845","display_name":"Cl\u00e9ment Pernet","orcid":"https://orcid.org/0000-0001-6970-0417"},"institutions":[{"id":"https://openalex.org/I177483745","display_name":"Universit\u00e9 Joseph Fourier","ror":"https://ror.org/02aj0kh94","country_code":"FR","type":"education","lineage":["https://openalex.org/I177483745"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Cl\u00e9ment Pernet","raw_affiliation_strings":["Universit\u00e9 Joseph Fourier, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Joseph Fourier, Grenoble, France","institution_ids":["https://openalex.org/I177483745"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091337059"],"corresponding_institution_ids":["https://openalex.org/I177483745"],"apc_list":null,"apc_paid":null,"fwci":5.81,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.96291778,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"119","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9961000084877014,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/computer-science","display_name":"Computer science","score":0.6730772852897644},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6715035438537598},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.6408057808876038},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6106065511703491},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5968077182769775},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.557856559753418},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5225067734718323},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5107815265655518},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.49782466888427734},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4854160249233246},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4770307242870331},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4554521441459656},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.34047406911849976},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3253815174102783},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.299454003572464},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1683485507965088},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12384086847305298}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6730772852897644},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6715035438537598},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.6408057808876038},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6106065511703491},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5968077182769775},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.557856559753418},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5225067734718323},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5107815265655518},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.49782466888427734},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4854160249233246},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4770307242870331},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4554521441459656},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.34047406911849976},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3253815174102783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.299454003572464},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1683485507965088},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12384086847305298},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1005285.1005304","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1005285.1005304","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02018838v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02018838","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Symposium on Symbolic and Algebraic Computation (ISSAC'04), Jul 2004, Santander, Spain. pp.119-126, ⟨10.1145/1005285.1005304⟩","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W125332172","https://openalex.org/W208025404","https://openalex.org/W1516000274","https://openalex.org/W1597551585","https://openalex.org/W1605088207","https://openalex.org/W1655990431","https://openalex.org/W1781197125","https://openalex.org/W1964031104","https://openalex.org/W2023407443","https://openalex.org/W2029504359","https://openalex.org/W2038199316","https://openalex.org/W2057341276","https://openalex.org/W2076576304","https://openalex.org/W2085819076","https://openalex.org/W2086398297","https://openalex.org/W2327732228","https://openalex.org/W3139578191","https://openalex.org/W4238798236","https://openalex.org/W6636178710","https://openalex.org/W6637190722"],"related_works":["https://openalex.org/W1610354793","https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W4206811032","https://openalex.org/W4289777525","https://openalex.org/W2995605830","https://openalex.org/W4239424132","https://openalex.org/W2596457687"],"abstract_inverted_index":{"The":[0],"FFLAS":[1],"project":[2],"has":[3],"established":[4],"that":[5,49],"exact":[6],"matrix":[7,33],"multiplication":[8,34],"over":[9],"finite":[10],"fields":[11],"can":[12,63],"be":[13,38,65],"performed":[14],"at":[15],"the":[16,19,66],"speed":[17],"of":[18],"highly":[20],"optimized":[21],"numerical":[22],"BLAS":[23],"routines.":[24],"Since":[25],"many":[26],"algorithms":[27],"have":[28],"been":[29],"reduced":[30],"to":[31,37,40],"use":[32],"in":[35],"order":[36],"able":[39],"prove":[41],"an":[42],"optimal":[43,51],"theoretical":[44],"complexity,":[45],"this":[46],"paper":[47],"shows":[48],"those":[50],"complexity":[52],"algorithms,":[53],"such":[54],"as":[55],"LSP":[56],"factorization,":[57],"rank":[58],"determinant":[59],"and":[60],"inverse":[61],"computation":[62],"also":[64],"most":[67],"efficient.":[68]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2016-06-24T00:00:00"}