{"id":"https://openalex.org/W1984472264","doi":"https://doi.org/10.1007/s006070070002","title":"On the Multivariate Horner Scheme II: Running Error Analysis","display_name":"On the Multivariate Horner Scheme II: Running Error Analysis","publication_year":2000,"publication_date":"2000-12-28","ids":{"openalex":"https://openalex.org/W1984472264","doi":"https://doi.org/10.1007/s006070070002","mag":"1984472264"},"language":"en","primary_location":{"id":"doi:10.1007/s006070070002","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s006070070002","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/A5051249572","display_name":"J.M. Pe\u00f1a","orcid":"https://orcid.org/0000-0002-1340-0666"},"institutions":[{"id":"https://openalex.org/I255234318","display_name":"Universidad de Zaragoza","ror":"https://ror.org/012a91z28","country_code":"ES","type":"education","lineage":["https://openalex.org/I255234318"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"J. M. Pe\u00f1a","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada Universidad de Zaragoza 50009 Zaragoza Spain e-mail: jmpena@posta.unizar.es, , , , , , ES","Univ. de Zaragoza, Zaragoza, Spain#TAB#"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada Universidad de Zaragoza 50009 Zaragoza Spain e-mail: jmpena@posta.unizar.es, , , , , , ES","institution_ids":["https://openalex.org/I255234318"]},{"raw_affiliation_string":"Univ. de Zaragoza, Zaragoza, Spain#TAB#","institution_ids":["https://openalex.org/I255234318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110714763","display_name":"Thomas Sauer","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Sauer","raw_affiliation_strings":["Institute of Mathematics University Erlangen\u2013N\u00fcrnberg D-91054 Erlangen Germany e-mail: sauer@mi.uni-erlangen.de, , , , , , DE","Institute of Mathematics Univ., Erlangen, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics University Erlangen\u2013N\u00fcrnberg D-91054 Erlangen Germany e-mail: sauer@mi.uni-erlangen.de, , , , , , DE","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"Institute of Mathematics Univ., Erlangen, Germany#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051249572"],"corresponding_institution_ids":["https://openalex.org/I255234318"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.1208134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"65","issue":"4","first_page":"313","last_page":"322"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9991999864578247,"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":0.9991999864578247,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9990000128746033,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.7102633714675903},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.624475359916687},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5840761065483093},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.5793269872665405},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5409245491027832},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5140272378921509},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.49159082770347595},{"id":"https://openalex.org/keywords/multivariate-analysis","display_name":"Multivariate analysis","score":0.4704129993915558},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44782060384750366},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38206759095191956},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3801816999912262},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34070390462875366},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13683968782424927}],"concepts":[{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.7102633714675903},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.624475359916687},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5840761065483093},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.5793269872665405},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5409245491027832},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5140272378921509},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.49159082770347595},{"id":"https://openalex.org/C38180746","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate analysis","level":2,"score":0.4704129993915558},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44782060384750366},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38206759095191956},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3801816999912262},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34070390462875366},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13683968782424927},{"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:10.1007/s006070070002","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s006070070002","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W285839292","https://openalex.org/W1981663184","https://openalex.org/W1995606474","https://openalex.org/W1998916693","https://openalex.org/W2005799419","https://openalex.org/W2015925977","https://openalex.org/W2020804487","https://openalex.org/W2024567227","https://openalex.org/W2036248016","https://openalex.org/W2057202540","https://openalex.org/W2077768738","https://openalex.org/W2169004268","https://openalex.org/W2752853835"],"related_works":["https://openalex.org/W2406638334","https://openalex.org/W40745829","https://openalex.org/W4318262572","https://openalex.org/W1978357124","https://openalex.org/W1578824628","https://openalex.org/W2032728545","https://openalex.org/W1570805059","https://openalex.org/W4250754046","https://openalex.org/W2036849593","https://openalex.org/W1978174651"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}