{"id":"https://openalex.org/W2039738001","doi":"https://doi.org/10.1145/1141277.1141666","title":"Pseudozero set of interval polynomials","display_name":"Pseudozero set of interval polynomials","publication_year":2006,"publication_date":"2006-04-23","ids":{"openalex":"https://openalex.org/W2039738001","doi":"https://doi.org/10.1145/1141277.1141666","mag":"2039738001"},"language":"en","primary_location":{"id":"doi:10.1145/1141277.1141666","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1141277.1141666","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 ACM symposium on Applied computing","raw_type":"proceedings-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/A5020384391","display_name":"Stef Graillat","orcid":"https://orcid.org/0000-0001-8954-2276"},"institutions":[{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Stef Graillat","raw_affiliation_strings":["Universit\u00e9 de Perpignan Via Domitia, Perpignan cedex, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Perpignan Via Domitia, Perpignan cedex, France","institution_ids":["https://openalex.org/I151295451"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065230076","display_name":"Philippe Langlois","orcid":null},"institutions":[{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Philippe Langlois","raw_affiliation_strings":["Universit\u00e9 de Perpignan Via Domitia, Perpignan cedex, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Perpignan Via Domitia, Perpignan cedex, France","institution_ids":["https://openalex.org/I151295451"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020384391"],"corresponding_institution_ids":["https://openalex.org/I151295451"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11594741,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1655","last_page":"1659"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994000196456909,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994000196456909,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7159066200256348},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6231256127357483},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.581789493560791},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5751105546951294},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5410659313201904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4971950352191925},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4569253921508789},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4180002808570862},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4093254804611206},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4088648557662964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36581283807754517},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3305763006210327},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2580576539039612},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2051529586315155},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1273024082183838}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7159066200256348},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6231256127357483},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.581789493560791},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5751105546951294},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5410659313201904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4971950352191925},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4569253921508789},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4180002808570862},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4093254804611206},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4088648557662964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36581283807754517},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3305763006210327},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2580576539039612},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2051529586315155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1273024082183838},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1141277.1141666","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1141277.1141666","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 ACM symposium on Applied computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W50401451","https://openalex.org/W58762890","https://openalex.org/W1529743226","https://openalex.org/W1534416612","https://openalex.org/W1552350973","https://openalex.org/W1966287322","https://openalex.org/W1975400766","https://openalex.org/W1994809819","https://openalex.org/W2071852476","https://openalex.org/W2094230465","https://openalex.org/W2483775066","https://openalex.org/W2588944122","https://openalex.org/W4298255709","https://openalex.org/W4300421229","https://openalex.org/W6602062749","https://openalex.org/W6631919705","https://openalex.org/W6641625552","https://openalex.org/W7024430192"],"related_works":["https://openalex.org/W2520934858","https://openalex.org/W2990487117","https://openalex.org/W2012882356","https://openalex.org/W109635080","https://openalex.org/W2377262226","https://openalex.org/W4285295794","https://openalex.org/W2098412892","https://openalex.org/W2531534085","https://openalex.org/W2387705642","https://openalex.org/W2372016227"],"abstract_inverted_index":{"Interval":[0],"polynomials":[1],"are":[2],"useful":[3],"to":[4,13,48,53,79],"describe":[5,14],"perturbed":[6],"polynomials.":[7,55,85],"We":[8,56,73],"present":[9],"a":[10,58,75],"graphical":[11,76],"tool":[12,32],"how":[15],"perturbations":[16,47],"of":[17,82],"the":[18,40],"polynomial":[19],"coefficients":[20],"affect":[21],"its":[22],"zeros":[23,81],"without":[24],"using":[25],"interval":[26,84],"arithmetic":[27],"nor":[28],"matrix":[29],"representation.":[30],"This":[31],"implements":[33],"real":[34,50,54,63,70],"pseudozero":[35,44,64,71],"set":[36,45,65],"that":[37],"differ":[38],"from":[39],"well":[41],"known":[42],"complex":[43,68],"restricting":[46],"be":[49],"and":[51,66,69],"applied":[52],"introduce":[57],"computable":[59],"formula":[60],"for":[61],"this":[62],"compare":[67],"sets.":[72],"propose":[74],"MATLAB":[77],"interface":[78],"draw":[80],"such":[83]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
