{"id":"https://openalex.org/W2960116462","doi":"https://doi.org/10.1145/3326229.3326246","title":"Simple Forms and Rational Solutions of Pseudo-Linear Systems","display_name":"Simple Forms and Rational Solutions of Pseudo-Linear Systems","publication_year":2019,"publication_date":"2019-07-08","ids":{"openalex":"https://openalex.org/W2960116462","doi":"https://doi.org/10.1145/3326229.3326246","mag":"2960116462"},"language":"en","primary_location":{"id":"doi:10.1145/3326229.3326246","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3326229.3326246","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"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/A5105411881","display_name":"Moulay A. Barkatou","orcid":"https://orcid.org/0000-0001-9892-9448"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210093397","display_name":"XLIM","ror":"https://ror.org/00f7srh09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I32881790","https://openalex.org/I4210093397","https://openalex.org/I4210095849","https://openalex.org/I65806277"]},{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Moulay Barkatou","raw_affiliation_strings":["University of Limoges; CNRS; XLIM UMR 7252; MATHIS, Limoges, France","University of Limoges","XLIM UMR 7252"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Limoges; CNRS; XLIM UMR 7252; MATHIS, Limoges, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I65806277"]},{"raw_affiliation_string":"University of Limoges","institution_ids":["https://openalex.org/I65806277"]},{"raw_affiliation_string":"XLIM UMR 7252","institution_ids":["https://openalex.org/I4210093397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021791488","display_name":"Thomas Cluzeau","orcid":"https://orcid.org/0000-0003-0796-2838"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210093397","display_name":"XLIM","ror":"https://ror.org/00f7srh09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I32881790","https://openalex.org/I4210093397","https://openalex.org/I4210095849","https://openalex.org/I65806277"]},{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thomas Cluzeau","raw_affiliation_strings":["University of Limoges; CNRS; XLIM UMR 7252; MATHIS, Limoges, France","University of Limoges","XLIM UMR 7252"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Limoges; CNRS; XLIM UMR 7252; MATHIS, Limoges, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I65806277"]},{"raw_affiliation_string":"University of Limoges","institution_ids":["https://openalex.org/I65806277"]},{"raw_affiliation_string":"XLIM UMR 7252","institution_ids":["https://openalex.org/I4210093397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101500780","display_name":"Ali El\u2010Hajj","orcid":"https://orcid.org/0000-0003-2865-6290"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210093397","display_name":"XLIM","ror":"https://ror.org/00f7srh09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I32881790","https://openalex.org/I4210093397","https://openalex.org/I4210095849","https://openalex.org/I65806277"]},{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ali El Hajj","raw_affiliation_strings":["University of Limoges; CNRS; XLIM UMR 7252; MATHIS, Limoges, France","University of Limoges","XLIM UMR 7252"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Limoges; CNRS; XLIM UMR 7252; MATHIS, Limoges, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I65806277"]},{"raw_affiliation_string":"University of Limoges","institution_ids":["https://openalex.org/I65806277"]},{"raw_affiliation_string":"XLIM UMR 7252","institution_ids":["https://openalex.org/I4210093397"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6302,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.88928571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"26","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9904999732971191,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9904999732971191,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9825000166893005,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9787999987602234,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/simple","display_name":"Simple (philosophy)","score":0.8188135623931885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5380384922027588},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.46624842286109924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31623607873916626},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11341691017150879}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.8188135623931885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5380384922027588},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.46624842286109924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31623607873916626},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11341691017150879},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3326229.3326246","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3326229.3326246","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-02393880v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02393880","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":"the 2019, Jul 2019, Beijing, China. pp.26-33, ⟨10.1145/3326229.3326246⟩","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":27,"referenced_works":["https://openalex.org/W73298482","https://openalex.org/W153920099","https://openalex.org/W588499030","https://openalex.org/W589940643","https://openalex.org/W1912218488","https://openalex.org/W1970323071","https://openalex.org/W1986524226","https://openalex.org/W1987047945","https://openalex.org/W2002188635","https://openalex.org/W2013547987","https://openalex.org/W2025071884","https://openalex.org/W2025664247","https://openalex.org/W2038970752","https://openalex.org/W2052387938","https://openalex.org/W2054834513","https://openalex.org/W2055495248","https://openalex.org/W2067639492","https://openalex.org/W2118067220","https://openalex.org/W2120078368","https://openalex.org/W2160171300","https://openalex.org/W2164714803","https://openalex.org/W2325892776","https://openalex.org/W2332775731","https://openalex.org/W2601803591","https://openalex.org/W2788346372","https://openalex.org/W3164943772","https://openalex.org/W4234000537"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053"],"abstract_inverted_index":{"In":[0],"this":[1,108,128],"paper,":[2],"we":[3,83,105],"first":[4],"provide":[5],"a":[6,45,57,85,117],"unified":[7],"algorithm":[8,87,109],"for":[9,13,24,56,75,88],"computing":[10,76,89],"simple":[11,46,70],"forms":[12],"systems":[14,29,93],"of":[15,59,79,92,98,116,119,138],"pseudo-linear":[16,37,60,80,121],"equations.":[17,61,103,122],"We":[18,39,62],"prove":[19],"that":[20,107],"the":[21,42,114,124],"existing":[22],"methods":[23],"linear":[25,99],"differential":[26,100],"and":[27,101,135],"difference":[28,102],"can":[30,48,110],"be":[31,49,111],"extended":[32],"to":[33,44,51,72,113],"handle":[34],"more":[35],"general":[36],"systems.":[38,81],"explain":[40],"how":[41],"reduction":[43],"form":[47],"used":[50],"compute":[52],"efficiently":[53],"local":[54],"data":[55],"system":[58,118],"then":[63],"propose":[64],"an":[65],"alternative,":[66],"again":[67],"based":[68],"on":[69],"forms,":[71],"previous":[73],"algorithms":[74,125],"rational":[77,90],"solutions":[78,91],"Moreover":[82],"develop":[84],"new":[86],"in":[94,127,133],"two":[95],"variables":[96],"composed":[97],"Finally,":[104],"show":[106],"generalized":[112],"case":[115],"partial":[120],"All":[123],"described":[126],"paper":[129],"have":[130],"been":[131],"implemented":[132],"Maple":[134],"some":[136],"examples":[137],"computations":[139],"are":[140],"provided.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}