{"id":"https://openalex.org/W2147022255","doi":"https://doi.org/10.1109/mcise.2003.1196309","title":"A new look at expression templates for maxtrix computation","display_name":"A new look at expression templates for maxtrix computation","publication_year":2003,"publication_date":"2003-05-01","ids":{"openalex":"https://openalex.org/W2147022255","doi":"https://doi.org/10.1109/mcise.2003.1196309","mag":"2147022255"},"language":"en","primary_location":{"id":"doi:10.1109/mcise.2003.1196309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mcise.2003.1196309","pdf_url":null,"source":{"id":"https://openalex.org/S107923245","display_name":"Computing in Science & Engineering","issn_l":"1521-9615","issn":["1521-9615","1558-366X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320061","host_organization_name":"AIP Publishing","host_organization_lineage":["https://openalex.org/P4310320061","https://openalex.org/P4310320257"],"host_organization_lineage_names":["AIP Publishing","American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing in Science &amp; Engineering","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/A5018380170","display_name":"Robert C. Kirby","orcid":"https://orcid.org/0009-0009-9663-8394"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R.C. Kirby","raw_affiliation_strings":["Computer science, University of Chicago, USA","Dept. of Comput. Sci., Chicago Univ, IL, USA"],"affiliations":[{"raw_affiliation_string":"Computer science, University of Chicago, USA","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Chicago Univ, IL, USA","institution_ids":["https://openalex.org/I40347166"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018380170"],"corresponding_institution_ids":["https://openalex.org/I40347166"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.21811982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"5","issue":"3","first_page":"66","last_page":"70"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9972000122070312,"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":0.9972000122070312,"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":0.9933000206947327,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9922000169754028,"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/template","display_name":"Template","score":0.7705516219139099},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7336907982826233},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.711007833480835},{"id":"https://openalex.org/keywords/algebraic-expression","display_name":"Algebraic expression","score":0.6681205034255981},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.637534499168396},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.6286463141441345},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5827862620353699},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5646032691001892},{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"Matrix algebra","score":0.4914668798446655},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47959721088409424},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4687272310256958},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.393830269575119},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.33029019832611084},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3208630681037903},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30422070622444153},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2723298668861389},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19244685769081116}],"concepts":[{"id":"https://openalex.org/C82714645","wikidata":"https://www.wikidata.org/wiki/Q438331","display_name":"Template","level":2,"score":0.7705516219139099},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7336907982826233},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.711007833480835},{"id":"https://openalex.org/C18912844","wikidata":"https://www.wikidata.org/wiki/Q4724001","display_name":"Algebraic expression","level":3,"score":0.6681205034255981},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.637534499168396},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.6286463141441345},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5827862620353699},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5646032691001892},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.4914668798446655},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47959721088409424},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4687272310256958},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.393830269575119},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.33029019832611084},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3208630681037903},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30422070622444153},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2723298668861389},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19244685769081116},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mcise.2003.1196309","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mcise.2003.1196309","pdf_url":null,"source":{"id":"https://openalex.org/S107923245","display_name":"Computing in Science & Engineering","issn_l":"1521-9615","issn":["1521-9615","1558-366X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320061","host_organization_name":"AIP Publishing","host_organization_lineage":["https://openalex.org/P4310320061","https://openalex.org/P4310320257"],"host_organization_lineage_names":["AIP Publishing","American Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing in Science &amp; Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320309626","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1581501197","https://openalex.org/W1964999566","https://openalex.org/W2040133970","https://openalex.org/W2046430708","https://openalex.org/W2798909945","https://openalex.org/W4312258136"],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W4206811032","https://openalex.org/W2995605830","https://openalex.org/W4239424132","https://openalex.org/W2596457687","https://openalex.org/W3212757063","https://openalex.org/W2086123442"],"abstract_inverted_index":{"We":[0],"reinterpret":[1],"the":[2,32],"expression":[3,20],"templates":[4],"for":[5],"matrix":[6,35],"computation":[7],"put":[8],"forward":[9],"by":[10],"other":[11],"authors":[12],"in":[13,42],"light":[14],"of":[15,34],"functional":[16],"programming":[17],"ideas.":[18],"Existing":[19],"template":[21],"libraries":[22],"frequently":[23],"focus":[24],"on":[25],"componentwise":[26],"operations":[27],"such":[28],"as":[29],"addition":[30],"at":[31],"expense":[33],"multiplication.":[36],"The":[37],"ideas":[38],"presented":[39],"are":[40],"implemented":[41],"a":[43],"C++":[44],"library":[45],"called":[46],"LLANO":[47],"(Lazy":[48],"Linear":[49],"Algebraic":[50],"Numerical":[51],"Objects).":[52]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
