{"id":"https://openalex.org/W1989068301","doi":"https://doi.org/10.1016/0165-6074(94)90051-5","title":"Rounding error in the computation of opposite sign floating point number parametric addition: a case study","display_name":"Rounding error in the computation of opposite sign floating point number parametric addition: a case study","publication_year":1994,"publication_date":"1994-12-01","ids":{"openalex":"https://openalex.org/W1989068301","doi":"https://doi.org/10.1016/0165-6074(94)90051-5","mag":"1989068301"},"language":"en","primary_location":{"id":"doi:10.1016/0165-6074(94)90051-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0165-6074(94)90051-5","pdf_url":null,"source":{"id":"https://openalex.org/S92214702","display_name":"Microprocessing and Microprogramming","issn_l":"0165-6074","issn":["0165-6074","1878-7061"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Microprocessing and Microprogramming","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/A5113704873","display_name":"Massimo Bartolucci","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107521","display_name":"Istituto di Astrofisica Spaziale e Fisica Cosmica di Milano","ror":"https://ror.org/01jgp6d54","country_code":"IT","type":"government","lineage":["https://openalex.org/I4210107521","https://openalex.org/I875825670"]},{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Massimo Bartolucci","raw_affiliation_strings":["Dipartimento di Fisica dell'Universita', via Celoria 16, I-20133 Milano, Italy","Guest Researcher at Istituto di Fisica Cosmica e Tecnologie Relative, Consiglio Nazionale delle Ricerche, via Bassini 15, I-20133 Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica dell'Universita', via Celoria 16, I-20133 Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Guest Researcher at Istituto di Fisica Cosmica e Tecnologie Relative, Consiglio Nazionale delle Ricerche, via Bassini 15, I-20133 Milano, Italy","institution_ids":["https://openalex.org/I4210107521"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084737633","display_name":"G.R. Sechi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107521","display_name":"Istituto di Astrofisica Spaziale e Fisica Cosmica di Milano","ror":"https://ror.org/01jgp6d54","country_code":"IT","type":"government","lineage":["https://openalex.org/I4210107521","https://openalex.org/I875825670"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giacomo R. Sechi","raw_affiliation_strings":["Istituto di Fisica Cosmica e Tecnologie Relative, Consiglio Nazionale delle Ricerche, via Bassini 15, I-20133 Milan, Italy"],"affiliations":[{"raw_affiliation_string":"Istituto di Fisica Cosmica e Tecnologie Relative, Consiglio Nazionale delle Ricerche, via Bassini 15, I-20133 Milan, Italy","institution_ids":["https://openalex.org/I4210107521"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084737633"],"corresponding_institution_ids":["https://openalex.org/I4210107521"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11050819,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"10-12","first_page":"833","last_page":"839"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9965999722480774,"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":0.9965999722480774,"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":0.9430000185966492,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.94596266746521},{"id":"https://openalex.org/keywords/round-off-error","display_name":"Round-off error","score":0.8481149673461914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7951420545578003},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.7510542869567871},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.6731201410293579},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.6603648662567139},{"id":"https://openalex.org/keywords/adder","display_name":"Adder","score":0.6078664064407349},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5724137425422668},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5568898320198059},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5413662195205688},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.47906574606895447},{"id":"https://openalex.org/keywords/word-error-rate","display_name":"Word error rate","score":0.4782111346721649},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.47742971777915955},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.44484174251556396},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.41292059421539307},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.410087525844574},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19804510474205017},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.18222463130950928},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12508654594421387},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11499622464179993},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1059446632862091},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06495407223701477}],"concepts":[{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.94596266746521},{"id":"https://openalex.org/C61005703","wikidata":"https://www.wikidata.org/wiki/Q2145211","display_name":"Round-off error","level":2,"score":0.8481149673461914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7951420545578003},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.7510542869567871},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.6731201410293579},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.6603648662567139},{"id":"https://openalex.org/C164620267","wikidata":"https://www.wikidata.org/wiki/Q376953","display_name":"Adder","level":3,"score":0.6078664064407349},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5724137425422668},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5568898320198059},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5413662195205688},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.47906574606895447},{"id":"https://openalex.org/C40969351","wikidata":"https://www.wikidata.org/wiki/Q3516228","display_name":"Word error rate","level":2,"score":0.4782111346721649},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.47742971777915955},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.44484174251556396},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.41292059421539307},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.410087525844574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19804510474205017},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.18222463130950928},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12508654594421387},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11499622464179993},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1059446632862091},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06495407223701477},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0165-6074(94)90051-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0165-6074(94)90051-5","pdf_url":null,"source":{"id":"https://openalex.org/S92214702","display_name":"Microprocessing and Microprogramming","issn_l":"0165-6074","issn":["0165-6074","1878-7061"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Microprocessing and Microprogramming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1988724958","https://openalex.org/W2012207180","https://openalex.org/W2051428227","https://openalex.org/W2052116850","https://openalex.org/W2105522755","https://openalex.org/W6663357596"],"related_works":["https://openalex.org/W3039927303","https://openalex.org/W2544512391","https://openalex.org/W2383134623","https://openalex.org/W1989068301","https://openalex.org/W4388911419","https://openalex.org/W2061091230","https://openalex.org/W4240706710","https://openalex.org/W4242955624","https://openalex.org/W4231731735","https://openalex.org/W196954033"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}