{"id":"https://openalex.org/W3083130213","doi":"https://doi.org/10.1007/978-3-030-58475-7_37","title":"A Branch-and-bound Algorithm to Rigorously Enclose the Round-Off Errors","display_name":"A Branch-and-bound Algorithm to Rigorously Enclose the Round-Off Errors","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3083130213","doi":"https://doi.org/10.1007/978-3-030-58475-7_37","mag":"3083130213"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-58475-7_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-58475-7_37","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5013914421","display_name":"R\u00e9my Garcia","orcid":"https://orcid.org/0009-0005-2256-4346"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"R\u00e9my Garcia","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, I3S, Nice, France","Universit\u00e9 C\u00f4te d'Azur, CNRS, I3S, Nice, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, I3S, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d'Azur, CNRS, I3S, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111564368","display_name":"Claude Michel","orcid":"https://orcid.org/0000-0001-8552-1881"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Claude Michel","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, I3S, Nice, France","Universit\u00e9 C\u00f4te d'Azur, CNRS, I3S, Nice, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, I3S, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d'Azur, CNRS, I3S, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111943507","display_name":"Michel Rueher","orcid":null},"institutions":[{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel Rueher","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, I3S, Nice, France","Universit\u00e9 C\u00f4te d'Azur, CNRS, I3S, Nice, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, I3S, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d'Azur, CNRS, I3S, Nice, France","institution_ids":["https://openalex.org/I201841394","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013914421"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I201841394"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.2057,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80144986,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"637","last_page":"653"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994999766349792,"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":0.9994999766349792,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9926999807357788,"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/T10142","display_name":"Formal Methods in Verification","score":0.9925000071525574,"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":0.8225282430648804},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.7121213674545288},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7110291719436646},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.6325302124023438},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6091713905334473},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5891762971878052},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5485667586326599},{"id":"https://openalex.org/keywords/round-off-error","display_name":"Round-off error","score":0.4718135595321655},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4522444009780884},{"id":"https://openalex.org/keywords/ieee-floating-point","display_name":"IEEE floating point","score":0.4387640655040741},{"id":"https://openalex.org/keywords/machine-epsilon","display_name":"Machine epsilon","score":0.41836249828338623},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24218201637268066}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.8225282430648804},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.7121213674545288},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7110291719436646},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.6325302124023438},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6091713905334473},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5891762971878052},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5485667586326599},{"id":"https://openalex.org/C61005703","wikidata":"https://www.wikidata.org/wiki/Q2145211","display_name":"Round-off error","level":2,"score":0.4718135595321655},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4522444009780884},{"id":"https://openalex.org/C137231763","wikidata":"https://www.wikidata.org/wiki/Q828287","display_name":"IEEE floating point","level":3,"score":0.4387640655040741},{"id":"https://openalex.org/C203739276","wikidata":"https://www.wikidata.org/wiki/Q1780355","display_name":"Machine epsilon","level":2,"score":0.41836249828338623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24218201637268066},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-58475-7_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-58475-7_37","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-02962315v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02962315","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":"Principles and Practice of Constraint Programming, pp.637-653, 2020, &#x27E8;10.1007/978-3-030-58475-7_37&#x27E9;","raw_type":"Book sections"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W4388380","https://openalex.org/W581104972","https://openalex.org/W1421638684","https://openalex.org/W1509551972","https://openalex.org/W1528042415","https://openalex.org/W1530332943","https://openalex.org/W1600435877","https://openalex.org/W1938260438","https://openalex.org/W1999470254","https://openalex.org/W2017741580","https://openalex.org/W2028591972","https://openalex.org/W2122738744","https://openalex.org/W2207050309","https://openalex.org/W2227234579","https://openalex.org/W2295915207","https://openalex.org/W2588591308","https://openalex.org/W2748052582","https://openalex.org/W2748956697","https://openalex.org/W2750751278","https://openalex.org/W2778880616","https://openalex.org/W2904117297","https://openalex.org/W2943641838","https://openalex.org/W3005181937","https://openalex.org/W3138624857"],"related_works":["https://openalex.org/W3039927303","https://openalex.org/W2032140442","https://openalex.org/W2075472361","https://openalex.org/W4376144198","https://openalex.org/W2145230984","https://openalex.org/W2728270059","https://openalex.org/W2937715180","https://openalex.org/W3043116807","https://openalex.org/W2137776702","https://openalex.org/W17415252"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
