{"id":"https://openalex.org/W2597586832","doi":"https://doi.org/10.1145/3087604.3087659","title":"Algorithms for Structured Linear Systems Solving and Their Implementation","display_name":"Algorithms for Structured Linear Systems Solving and Their Implementation","publication_year":2017,"publication_date":"2017-07-19","ids":{"openalex":"https://openalex.org/W2597586832","doi":"https://doi.org/10.1145/3087604.3087659","mag":"2597586832"},"language":"en","primary_location":{"id":"doi:10.1145/3087604.3087659","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3087604.3087659","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-01484831","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102261662","display_name":"Seung Gyu Hyun","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Seung Gyu Hyun","raw_affiliation_strings":["University of Waterloo, Waterloo, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082997850","display_name":"Romain Lebreton","orcid":"https://orcid.org/0000-0002-0880-1190"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Romain Lebreton","raw_affiliation_strings":["Universit\u00e9 de Montpellier, Montpellier, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Montpellier, Montpellier, France","institution_ids":["https://openalex.org/I19894307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041679295","display_name":"\u00c9ric Schost","orcid":"https://orcid.org/0000-0002-8638-9357"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"\u00c9ric Schost","raw_affiliation_strings":["University of Waterloo, Waterloo, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1963,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8028213,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"205","last_page":"212"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9995999932289124,"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":0.9995999932289124,"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/T11130","display_name":"Coding theory and cryptography","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9984999895095825,"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/computation","display_name":"Computation","score":0.6927889585494995},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6852980256080627},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.6809214949607849},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.6433436870574951},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5137473344802856},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.5069990158081055},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5055744647979736},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4684329926967621},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4246687591075897},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42127907276153564},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37495720386505127},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22326257824897766},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.15595656633377075},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.11661398410797119}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6927889585494995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6852980256080627},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.6809214949607849},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.6433436870574951},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5137473344802856},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.5069990158081055},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5055744647979736},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4684329926967621},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4246687591075897},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42127907276153564},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37495720386505127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22326257824897766},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.15595656633377075},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.11661398410797119},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3087604.3087659","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3087604.3087659","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:lirmm-01484831v1","is_oa":true,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-01484831","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.issac-symposium.org/2017/","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:lirmm-01484831v1","is_oa":true,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-01484831","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.issac-symposium.org/2017/","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W21639112","https://openalex.org/W1254304998","https://openalex.org/W1489355995","https://openalex.org/W1528659953","https://openalex.org/W1562183207","https://openalex.org/W1587896874","https://openalex.org/W1625225258","https://openalex.org/W1724259334","https://openalex.org/W1979740015","https://openalex.org/W1984869715","https://openalex.org/W1987033004","https://openalex.org/W1988288684","https://openalex.org/W1990888619","https://openalex.org/W1994077047","https://openalex.org/W1995955251","https://openalex.org/W1996230815","https://openalex.org/W1997066455","https://openalex.org/W2002980260","https://openalex.org/W2007694568","https://openalex.org/W2010961009","https://openalex.org/W2013674146","https://openalex.org/W2015855792","https://openalex.org/W2020282540","https://openalex.org/W2022028092","https://openalex.org/W2031887434","https://openalex.org/W2036932727","https://openalex.org/W2041165203","https://openalex.org/W2042513324","https://openalex.org/W2051154648","https://openalex.org/W2056035813","https://openalex.org/W2058221574","https://openalex.org/W2061587719","https://openalex.org/W2073842331","https://openalex.org/W2083368929","https://openalex.org/W2084801848","https://openalex.org/W2085819076","https://openalex.org/W2090885898","https://openalex.org/W2095018839","https://openalex.org/W2096280747","https://openalex.org/W2111286738","https://openalex.org/W2120248756","https://openalex.org/W2163787512","https://openalex.org/W2170835539","https://openalex.org/W2326591006","https://openalex.org/W2430670595","https://openalex.org/W2595057318","https://openalex.org/W2764683856","https://openalex.org/W3009739836","https://openalex.org/W4392442051"],"related_works":["https://openalex.org/W2389462125","https://openalex.org/W2091997962","https://openalex.org/W151496359","https://openalex.org/W4220662591","https://openalex.org/W856465872","https://openalex.org/W1969863203","https://openalex.org/W1987843132","https://openalex.org/W1480644286","https://openalex.org/W2359223678","https://openalex.org/W2143448435"],"abstract_inverted_index":{"There":[0],"exists":[1],"a":[2,54,85],"vast":[3],"literature":[4],"dedicated":[5],"to":[6,39,88],"algorithms":[7,71],"for":[8,57],"structured":[9],"matrices,":[10],"but":[11],"relatively":[12],"few":[13],"descriptions":[14],"of":[15,32,69,76,95],"actual":[16],"implementations":[17],"and":[18,36,72,79],"their":[19],"practical":[20,81],"performance":[21],"in":[22,43,47],"symbolic":[23],"computation.":[24],"In":[25],"this":[26],"paper,":[27],"we":[28],"consider":[29],"the":[30,48,93],"problem":[31],"solving":[33],"Cauchy-like":[34],"systems,":[35,42],"its":[37,80],"application":[38],"mosaic":[40],"Toeplitz":[41],"two":[44],"contexts:":[45],"first":[46],"unit":[49],"cost":[50],"model":[51,56],"(which":[52],"is":[53],"good":[55],"computations":[58],"over":[59,63],"finite":[60],"fields),":[61],"then":[62],"Q.":[64],"We":[65,83],"introduce":[66],"new":[67],"variants":[68],"previous":[70],"describe":[73],"an":[74],"implementation":[75],"these":[77],"techniques":[78],"behavior.":[82],"pay":[84],"special":[86],"attention":[87],"particular":[89],"cases":[90],"such":[91],"as":[92],"computation":[94],"algebraic":[96],"approximants.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}