{"id":"https://openalex.org/W2782078086","doi":"https://doi.org/10.1145/3177795.3177799","title":"<b>CUMODP</b>","display_name":"<b>CUMODP</b>","publication_year":2018,"publication_date":"2018-01-04","ids":{"openalex":"https://openalex.org/W2782078086","doi":"https://doi.org/10.1145/3177795.3177799","mag":"2782078086"},"language":"en","primary_location":{"id":"doi:10.1145/3177795.3177799","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3177795.3177799","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","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/A5049229574","display_name":"Sardar Anisul Haque","orcid":"https://orcid.org/0000-0002-3497-3156"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"S. Anisul Haque","raw_affiliation_strings":["Qassim University, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Qassim University, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057029916","display_name":"X. Li","orcid":"https://orcid.org/0009-0006-7479-4984"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"X. Li","raw_affiliation_strings":["Universidad Carlos III, Spain"],"affiliations":[{"raw_affiliation_string":"Universidad Carlos III, Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055276137","display_name":"Farnam Mansouri","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164937","display_name":"Microsoft Research (United Kingdom)","ror":"https://ror.org/05k87vq12","country_code":"GB","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210164937"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"F. Mansouri","raw_affiliation_strings":["Microsoft"],"affiliations":[{"raw_affiliation_string":"Microsoft","institution_ids":["https://openalex.org/I4210164937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081832433","display_name":"Marc Moreno Maza","orcid":"https://orcid.org/0000-0003-3011-0756"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"M. Moreno Maza","raw_affiliation_strings":["University of Western Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"University of Western Ontario, Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070254469","display_name":"Davood Mohajerani","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"D. Mohajerani","raw_affiliation_strings":["University of Western Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"University of Western Ontario, Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102914756","display_name":"Wei Pan","orcid":"https://orcid.org/0000-0001-5122-626X"},"institutions":[{"id":"https://openalex.org/I4210158342","display_name":"Intel (United Kingdom)","ror":"https://ror.org/058cxws58","country_code":"GB","type":"company","lineage":["https://openalex.org/I1343180700","https://openalex.org/I4210158342"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"W. Pan","raw_affiliation_strings":["Intel Corporation"],"affiliations":[{"raw_affiliation_string":"Intel Corporation","institution_ids":["https://openalex.org/I4210158342"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5049229574"],"corresponding_institution_ids":["https://openalex.org/I156216236"],"apc_list":null,"apc_paid":null,"fwci":0.2019,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49293813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"51","issue":"3","first_page":"89","last_page":"91"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9988999962806702,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9988999962806702,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9987999796867371,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9977999925613403,"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/cuda","display_name":"CUDA","score":0.6951622366905212},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6565208435058594},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.6513593792915344},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6014115810394287},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.5985736846923828},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.5749437212944031},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5480844378471375},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.5092209577560425},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.49042174220085144},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.46244174242019653},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.4260562062263489},{"id":"https://openalex.org/keywords/double-precision-floating-point-format","display_name":"Double-precision floating-point format","score":0.41952672600746155},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.36995506286621094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2747618556022644},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.24680006504058838},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.23784050345420837}],"concepts":[{"id":"https://openalex.org/C2778119891","wikidata":"https://www.wikidata.org/wiki/Q477690","display_name":"CUDA","level":2,"score":0.6951622366905212},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6565208435058594},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6513593792915344},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6014115810394287},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.5985736846923828},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.5749437212944031},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5480844378471375},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.5092209577560425},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.49042174220085144},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.46244174242019653},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.4260562062263489},{"id":"https://openalex.org/C35912277","wikidata":"https://www.wikidata.org/wiki/Q1243369","display_name":"Double-precision floating-point format","level":3,"score":0.41952672600746155},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.36995506286621094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2747618556022644},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.24680006504058838},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.23784050345420837},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3177795.3177799","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3177795.3177799","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W237584866","https://openalex.org/W1497727960","https://openalex.org/W1976677460","https://openalex.org/W1997771347","https://openalex.org/W2039539413","https://openalex.org/W2058085761","https://openalex.org/W2091909596","https://openalex.org/W2115654888","https://openalex.org/W2116078937","https://openalex.org/W2159979920","https://openalex.org/W2949619969","https://openalex.org/W4205630623","https://openalex.org/W6629831822"],"related_works":["https://openalex.org/W3215589575","https://openalex.org/W2336476964","https://openalex.org/W3150959508","https://openalex.org/W1571090276","https://openalex.org/W3150370983","https://openalex.org/W2773283032","https://openalex.org/W2239119680","https://openalex.org/W2012407419","https://openalex.org/W4297795876","https://openalex.org/W2565957982"],"abstract_inverted_index":{"The":[0],"CUDA":[1,58],"Modular":[2],"Polynomial":[3],"(CUMODP)":[4],"Library":[5],"implements":[6],"arithmetic":[7],"operations":[8,21],"for":[9,24],"dense":[10,13],"matrices":[11],"and":[12,48,57,92],"polynomials,":[14],"primarily":[15,64],"with":[16],"modular":[17],"integer":[18,25],"coefficients.":[19,29],"Some":[20],"are":[22,63],"available":[23],"or":[26],"floating":[27],"point":[28],"Similar":[30],"to":[31,66,70],"other":[32],"software":[33],"libraries,":[34],"like":[35],"CuBLAS":[36],"1":[37],"targeting":[38],"Graphics":[39],"Processing":[40],"Units":[41],"(GPUs),":[42],"CUMODP":[43],"focuses":[44],"on":[45],"efficiency-critical":[46],"routines":[47,62],"provides":[49],"them":[50],"in":[51,90,96],"the":[52,81,105],"form":[53],"of":[54,80,108],"device":[55],"functions":[56],"kernels.":[59],"Hence,":[60],"these":[61],"designed":[65],"offer":[67],"GPU":[68],"support":[69],"polynomial":[71],"system":[72,76],"solvers.":[73],"A":[74],"bivariate":[75],"solver":[77],"is":[78,88,94],"part":[79],"library,":[82],"as":[83],"a":[84],"proof-of-concept.":[85],"Its":[86],"implementation":[87],"presented":[89],"[10]":[91],"it":[93],"integrated":[95],"M":[97,109],"aple":[98,110],"'s":[99],"Triangularize":[100],"command":[101],"2":[102],",":[103],"since":[104],"release":[106],"18":[107],".":[111]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2018-01-12T00:00:00"}