{"id":"https://openalex.org/W2157721230","doi":"https://doi.org/10.1002/spe.4380060207","title":"Multi\u2010dimensional summations in FORTRAN","display_name":"Multi\u2010dimensional summations in FORTRAN","publication_year":1976,"publication_date":"1976-04-01","ids":{"openalex":"https://openalex.org/W2157721230","doi":"https://doi.org/10.1002/spe.4380060207","mag":"2157721230"},"language":"en","primary_location":{"id":"doi:10.1002/spe.4380060207","is_oa":false,"landing_page_url":"https://doi.org/10.1002/spe.4380060207","pdf_url":null,"source":{"id":"https://openalex.org/S122199241","display_name":"Software Practice and Experience","issn_l":"0038-0644","issn":["0038-0644","1097-024X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Software: Practice and Experience","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/A5043284454","display_name":"A J Guttmann","orcid":"https://orcid.org/0000-0003-2209-7192"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"A. J. Guttmann","raw_affiliation_strings":["Department of Mathematics, University of Newcastle, Newcastle, N.S.W. 2308, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Newcastle, Newcastle, N.S.W. 2308, Australia","institution_ids":["https://openalex.org/I78757542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043284454"],"corresponding_institution_ids":["https://openalex.org/I78757542"],"apc_list":{"value":4220,"currency":"USD","value_usd":4220},"apc_paid":null,"fwci":1.4353,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8817817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"6","issue":"2","first_page":"221","last_page":"224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.7631999850273132,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.7631999850273132,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fortran","display_name":"Fortran","score":0.9418031573295593},{"id":"https://openalex.org/keywords/subroutine","display_name":"Subroutine","score":0.9152522683143616},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.7029950022697449},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6728835701942444},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5532693266868591},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5163758993148804},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4482118785381317},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3781500458717346},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3610190749168396},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.32579702138900757},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3220483660697937},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27209708094596863},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08318531513214111},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06309252977371216}],"concepts":[{"id":"https://openalex.org/C2778241615","wikidata":"https://www.wikidata.org/wiki/Q83303","display_name":"Fortran","level":2,"score":0.9418031573295593},{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.9152522683143616},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.7029950022697449},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6728835701942444},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5532693266868591},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5163758993148804},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4482118785381317},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3781500458717346},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3610190749168396},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.32579702138900757},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3220483660697937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27209708094596863},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08318531513214111},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06309252977371216},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/spe.4380060207","is_oa":false,"landing_page_url":"https://doi.org/10.1002/spe.4380060207","pdf_url":null,"source":{"id":"https://openalex.org/S122199241","display_name":"Software Practice and Experience","issn_l":"0038-0644","issn":["0038-0644","1097-024X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Software: Practice and Experience","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":0,"referenced_works":[],"related_works":["https://openalex.org/W136575323","https://openalex.org/W3150993086","https://openalex.org/W1516043520","https://openalex.org/W3150762485","https://openalex.org/W767506823","https://openalex.org/W3125463300","https://openalex.org/W2218209960","https://openalex.org/W246887380","https://openalex.org/W2389300841","https://openalex.org/W1508156279"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"general":[2],"method":[3,40],"of":[4,33,51],"calculating":[5],"multi\u2010dimensional":[6],"sums":[7],"using":[8],"the":[9,23,47,52],"FORTRAN":[10,17],"language":[11],"is":[12,19,37],"presented.":[13],"In":[14],"particular,":[15],"a":[16],"subroutine":[18],"given":[20],"that":[21],"calculates":[22],"required":[24],"function":[25],"arguments":[26],"at":[27],"each":[28],"call.":[29],"The":[30,39],"usual":[31],"arrangement":[32],"nested":[34],"DO":[35],"loops":[36],"discarded.":[38],"makes":[41],"it":[42],"quite":[43],"easy":[44],"to":[45],"change":[46],"dimensionality":[48],"or":[49],"range":[50],"summation.":[53]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
