{"id":"https://openalex.org/W2159427065","doi":"https://doi.org/10.1007/bf02253433","title":"Decomposition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems","display_name":"Decomposition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems","publication_year":1991,"publication_date":"1991-06-01","ids":{"openalex":"https://openalex.org/W2159427065","doi":"https://doi.org/10.1007/bf02253433","mag":"2159427065"},"language":"en","primary_location":{"id":"doi:10.1007/bf02253433","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02253433","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","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/A5021432838","display_name":"R. Baker Kearfott","orcid":"https://orcid.org/0000-0002-3449-098X"},"institutions":[{"id":"https://openalex.org/I8616870","display_name":"Southwestern University","ror":"https://ror.org/05gj63w50","country_code":"US","type":"education","lineage":["https://openalex.org/I8616870"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R. Baker Kearfott","raw_affiliation_strings":["Department of Mathematics, University of Southwestern Louisiana, U.S.L. Box 4-1010, 70504, Lafayette, LA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Southwestern Louisiana, U.S.L. Box 4-1010, 70504, Lafayette, LA, USA","institution_ids":["https://openalex.org/I8616870"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021432838"],"corresponding_institution_ids":["https://openalex.org/I8616870"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.0526,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.88009107,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"47","issue":"2","first_page":"169","last_page":"191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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":1.0,"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":0.9955000281333923,"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":0.9929999709129333,"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/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.8281758427619934},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.731815755367279},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7252757549285889},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.7235994935035706},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.7121235132217407},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.690761387348175},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6595912575721741},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.479499876499176},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.477520614862442},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.45808613300323486},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.4517979323863983},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4294455051422119},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38020145893096924},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2555473744869232},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19818371534347534}],"concepts":[{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.8281758427619934},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.731815755367279},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7252757549285889},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.7235994935035706},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.7121235132217407},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.690761387348175},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6595912575721741},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.479499876499176},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.477520614862442},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.45808613300323486},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.4517979323863983},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4294455051422119},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38020145893096924},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2555473744869232},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19818371534347534},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02253433","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02253433","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.55.8540","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.55.8540","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://interval.usl.edu/preprints/bigsys.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1483874187","https://openalex.org/W1571045421","https://openalex.org/W1580809199","https://openalex.org/W1592303155","https://openalex.org/W1976316721","https://openalex.org/W1989989054","https://openalex.org/W1991995462","https://openalex.org/W2000092562","https://openalex.org/W2012160598","https://openalex.org/W2030170144","https://openalex.org/W2031576555","https://openalex.org/W2060924166","https://openalex.org/W2083262220","https://openalex.org/W2106719661","https://openalex.org/W2131647072","https://openalex.org/W2165996136","https://openalex.org/W2272795305","https://openalex.org/W4210916633","https://openalex.org/W4234587084"],"related_works":["https://openalex.org/W2870119759","https://openalex.org/W2353909869","https://openalex.org/W2984615780","https://openalex.org/W2078306205","https://openalex.org/W2158787712","https://openalex.org/W2969957441","https://openalex.org/W2075367494","https://openalex.org/W2159427065","https://openalex.org/W2755253239","https://openalex.org/W2560153508"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}