{"id":"https://openalex.org/W2166644923","doi":"https://doi.org/10.1145/1182553.1182558","title":"Solving structured linear systems of large displacement rank","display_name":"Solving structured linear systems of large displacement rank","publication_year":2006,"publication_date":"2006-06-01","ids":{"openalex":"https://openalex.org/W2166644923","doi":"https://doi.org/10.1145/1182553.1182558","mag":"2166644923"},"language":"en","primary_location":{"id":"doi:10.1145/1182553.1182558","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1182553.1182558","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/A5033626172","display_name":"Alin Bostan","orcid":"https://orcid.org/0000-0003-3798-9281"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alin Bostan","raw_affiliation_strings":["INRIA Roquencourt, France"],"affiliations":[{"raw_affiliation_string":"INRIA Roquencourt, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110628690","display_name":"Claude-Pierre Jeannerod","orcid":null},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"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":"Claude-Pierre Jeannerod","raw_affiliation_strings":["INRIA Rh\u00f4nes-Alpes and LIP, ENS Lyon. France"],"affiliations":[{"raw_affiliation_string":"INRIA Rh\u00f4nes-Alpes and LIP, ENS Lyon. France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I1326498283","https://openalex.org/I113428412"]}]},{"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/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"\u00c9ric Schost","raw_affiliation_strings":["LIX, \u00c9cole polytechnique, France"],"affiliations":[{"raw_affiliation_string":"LIX, \u00c9cole polytechnique, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033626172"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18729967,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"2","first_page":"42","last_page":"44"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987000226974487,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/vandermonde-matrix","display_name":"Vandermonde matrix","score":0.855190634727478},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.807185173034668},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.671409547328949},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5885981917381287},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.5718123912811279},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5618786215782166},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.5614076256752014},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5245397686958313},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.4478257894515991},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3592447340488434},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3002859354019165},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2123454213142395},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09102818369865417},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0694083571434021},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06677490472793579},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05581122636795044}],"concepts":[{"id":"https://openalex.org/C55294529","wikidata":"https://www.wikidata.org/wiki/Q579544","display_name":"Vandermonde matrix","level":3,"score":0.855190634727478},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.807185173034668},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.671409547328949},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5885981917381287},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.5718123912811279},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5618786215782166},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.5614076256752014},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5245397686958313},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.4478257894515991},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3592447340488434},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3002859354019165},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2123454213142395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09102818369865417},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0694083571434021},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06677490472793579},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05581122636795044},{"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/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1182553.1182558","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1182553.1182558","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":57,"referenced_works":["https://openalex.org/W21639112","https://openalex.org/W131580685","https://openalex.org/W208025404","https://openalex.org/W1489355995","https://openalex.org/W1502124338","https://openalex.org/W1528659953","https://openalex.org/W1562183207","https://openalex.org/W1594960997","https://openalex.org/W1599026900","https://openalex.org/W1606124404","https://openalex.org/W1625225258","https://openalex.org/W1943663571","https://openalex.org/W1968245619","https://openalex.org/W1971605365","https://openalex.org/W1978106295","https://openalex.org/W1979740015","https://openalex.org/W1986421748","https://openalex.org/W1995169979","https://openalex.org/W1996152366","https://openalex.org/W1997066455","https://openalex.org/W1998322533","https://openalex.org/W2010961009","https://openalex.org/W2016714604","https://openalex.org/W2018818965","https://openalex.org/W2020282540","https://openalex.org/W2025561788","https://openalex.org/W2026317840","https://openalex.org/W2028552691","https://openalex.org/W2029504359","https://openalex.org/W2032080903","https://openalex.org/W2035476608","https://openalex.org/W2041165203","https://openalex.org/W2041484863","https://openalex.org/W2041922262","https://openalex.org/W2057341276","https://openalex.org/W2059454546","https://openalex.org/W2066687638","https://openalex.org/W2070279173","https://openalex.org/W2080132708","https://openalex.org/W2083368929","https://openalex.org/W2084070281","https://openalex.org/W2084801848","https://openalex.org/W2085819076","https://openalex.org/W2086081089","https://openalex.org/W2092959822","https://openalex.org/W2096280747","https://openalex.org/W2100300741","https://openalex.org/W2111028162","https://openalex.org/W2111286738","https://openalex.org/W2117370345","https://openalex.org/W2130711073","https://openalex.org/W2130716376","https://openalex.org/W2163787512","https://openalex.org/W2264065105","https://openalex.org/W2274017102","https://openalex.org/W3149756008","https://openalex.org/W6605342772"],"related_works":["https://openalex.org/W2016131521","https://openalex.org/W2077155832","https://openalex.org/W3199374715","https://openalex.org/W4299554327","https://openalex.org/W2055278009","https://openalex.org/W2087734572","https://openalex.org/W2130711073","https://openalex.org/W4230292203","https://openalex.org/W2078303291","https://openalex.org/W2166644923"],"abstract_inverted_index":{"Structured":[0],"linear":[1],"algebra":[2],"techniques":[3],"are":[4],"a":[5],"versatile":[6],"set":[7],"of":[8,20],"tools;":[9],"they":[10],"enable":[11],"one":[12],"to":[13],"deal":[14],"at":[15],"once":[16],"with":[17,22],"various":[18],"types":[19],"matrices,":[21],"features":[23],"such":[24],"as":[25],"Toeplitz-,":[26],"Hankel-,":[27],"Vandermonde-":[28],"or":[29],"Cauchy-likeness.":[30]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}