{"id":"https://openalex.org/W2047937237","doi":"https://doi.org/10.1145/190347.190423","title":"Chains of recurrences---a method to expedite the evaluation of closed-form functions","display_name":"Chains of recurrences---a method to expedite the evaluation of closed-form functions","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W2047937237","doi":"https://doi.org/10.1145/190347.190423","mag":"2047937237"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/190347.190423","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-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/A5022697118","display_name":"Olaf Bachmann","orcid":null},"institutions":[{"id":"https://openalex.org/I149910238","display_name":"Kent State University","ror":"https://ror.org/049pfb863","country_code":"US","type":"funder","lineage":["https://openalex.org/I149910238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Olaf Bachmann","raw_affiliation_strings":["Dept. of Math. and Computer Science, Kent State University Kent, Ohio"],"affiliations":[{"raw_affiliation_string":"Dept. of Math. and Computer Science, Kent State University Kent, Ohio","institution_ids":["https://openalex.org/I149910238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043338632","display_name":"Paul S. Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul S. Wang","raw_affiliation_strings":["Distributed Computing Department, Sandia National Laboratories, P.O.Box 969 Mail Stop 9214, Livermore, CA#TAB#"],"affiliations":[{"raw_affiliation_string":"Distributed Computing Department, Sandia National Laboratories, P.O.Box 969 Mail Stop 9214, Livermore, CA#TAB#","institution_ids":["https://openalex.org/I192454743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071374019","display_name":"Eugene V. Zima","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"funder","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Eugene V. Zima","raw_affiliation_strings":["Dept. of Computational Mathematics and Cybernetics (BMK), Moscow State University, Moscow, 119899, Russia#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Computational Mathematics and Cybernetics (BMK), Moscow State University, Moscow, 119899, Russia#TAB#","institution_ids":["https://openalex.org/I19880235"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.81,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":79,"citation_normalized_percentile":{"value":0.97305,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.984,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.984,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9618,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9589,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/maxima","display_name":"Maxima","score":0.5699485}],"concepts":[{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.61284786},{"id":"https://openalex.org/C190883126","wikidata":"https://www.wikidata.org/wiki/Q132874","display_name":"Lisp","level":2,"score":0.6018527},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.57636195},{"id":"https://openalex.org/C91528185","wikidata":"https://www.wikidata.org/wiki/Q520952","display_name":"Maxima","level":3,"score":0.5699485},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5401759},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37598008},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35206473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34565166},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20645496},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18599048},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09691122},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.066150874},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C554144382","wikidata":"https://www.wikidata.org/wiki/Q213156","display_name":"Performance art","level":2,"score":0.0},{"id":"https://openalex.org/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/190347.190423","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":3,"referenced_works":["https://openalex.org/W1498163379","https://openalex.org/W1552480307","https://openalex.org/W1611032851"],"related_works":["https://openalex.org/W4251355525","https://openalex.org/W2901973005","https://openalex.org/W2901492383","https://openalex.org/W2370562360","https://openalex.org/W2294112532","https://openalex.org/W2104984681","https://openalex.org/W2071890153","https://openalex.org/W2004743631","https://openalex.org/W1766793284","https://openalex.org/W1570558224"],"abstract_inverted_index":{"Chains":[0],"of":[1,18,38],"Recurrences":[2],"(CR's)":[3],"are":[4,20],"introduced":[5],"as":[6],"an":[7,23,36],"effective":[8],"method":[9,40],"to":[10],"evaluate":[11],"functions":[12],"at":[13],"regular":[14],"intervals.":[15],"Algebraic":[16],"properties":[17],"CR's":[19],"examined":[21],"and":[22],"algorithm":[24],"that":[25],"constructs":[26],"a":[27,30],"CR":[28],"for":[29],"given":[31],"function":[32],"is":[33,44],"explained.":[34],"Finally,":[35],"implementation":[37],"the":[39],"in":[41],"MAXIMA/Common":[42],"Lisp":[43],"discussed.":[45]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2047937237","counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-03-17T17:02:42.116658","created_date":"2016-06-24"}