{"id":"https://openalex.org/W147891721","doi":"https://doi.org/10.1007/978-3-319-06548-9_3","title":"Batch Matrix Exponentiation","display_name":"Batch Matrix Exponentiation","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W147891721","doi":"https://doi.org/10.1007/978-3-319-06548-9_3","mag":"147891721"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-06548-9_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-06548-9_3","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Computations with GPUs","raw_type":"book-chapter"},"type":"book-chapter","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/A5058852991","display_name":"M. Graham Lopez","orcid":"https://orcid.org/0000-0002-5375-2105"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M. Graham Lopez","raw_affiliation_strings":["Georgia Institute of Technology, Atlanta, GA, 30332, USA"],"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology, Atlanta, GA, 30332, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088139692","display_name":"Mitchel D. Horton","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mitchel D. Horton","raw_affiliation_strings":["Georgia Institute of Technology, Atlanta, GA, 30332, USA"],"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology, Atlanta, GA, 30332, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058852991"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":0.7247,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70139628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"45","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9995999932289124,"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":0.9995999932289124,"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"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9829999804496765,"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"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9804999828338623,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.6883100271224976},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6071380376815796},{"id":"https://openalex.org/keywords/square-matrix","display_name":"Square matrix","score":0.5729817748069763},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.5119067430496216},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5100968480110168},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.5087471604347229},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4947158992290497},{"id":"https://openalex.org/keywords/matrix-exponential","display_name":"Matrix exponential","score":0.4851130247116089},{"id":"https://openalex.org/keywords/numerical-linear-algebra","display_name":"Numerical linear algebra","score":0.4601683020591736},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4468374252319336},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42897215485572815},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.42296868562698364},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39972102642059326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2866927981376648},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.2699164152145386},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.24741414189338684},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2222590148448944},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11754024028778076},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10558658838272095},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10149163007736206},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08721685409545898},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08198744058609009},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07797172665596008},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.06669312715530396}],"concepts":[{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.6883100271224976},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6071380376815796},{"id":"https://openalex.org/C69044650","wikidata":"https://www.wikidata.org/wiki/Q2739329","display_name":"Square matrix","level":4,"score":0.5729817748069763},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.5119067430496216},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5100968480110168},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.5087471604347229},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4947158992290497},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.4851130247116089},{"id":"https://openalex.org/C163834973","wikidata":"https://www.wikidata.org/wiki/Q2004891","display_name":"Numerical linear algebra","level":3,"score":0.4601683020591736},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4468374252319336},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42897215485572815},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.42296868562698364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39972102642059326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2866927981376648},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.2699164152145386},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.24741414189338684},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2222590148448944},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11754024028778076},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10558658838272095},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10149163007736206},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08721685409545898},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08198744058609009},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07797172665596008},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.06669312715530396},{"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/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-06548-9_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-06548-9_3","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Computations with GPUs","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W94439627","https://openalex.org/W297014570","https://openalex.org/W1480928214","https://openalex.org/W1904802460","https://openalex.org/W1964031104","https://openalex.org/W1986089583","https://openalex.org/W2009570821","https://openalex.org/W2009596137","https://openalex.org/W2038205735","https://openalex.org/W2063186542","https://openalex.org/W2070571481","https://openalex.org/W2091371833","https://openalex.org/W2099021415","https://openalex.org/W2102424972","https://openalex.org/W2103088017","https://openalex.org/W2106565812","https://openalex.org/W2110835349","https://openalex.org/W2117752525","https://openalex.org/W2127836105","https://openalex.org/W2129212865","https://openalex.org/W2130362098","https://openalex.org/W2136485386","https://openalex.org/W2136796925","https://openalex.org/W2141913814","https://openalex.org/W2142508891","https://openalex.org/W2154011623","https://openalex.org/W2161444534","https://openalex.org/W2169631286","https://openalex.org/W2169981472","https://openalex.org/W2170996473","https://openalex.org/W3141650078","https://openalex.org/W4231150350","https://openalex.org/W4233815609","https://openalex.org/W4244968939"],"related_works":["https://openalex.org/W1504552855","https://openalex.org/W2950531434","https://openalex.org/W3188579483","https://openalex.org/W4312354936","https://openalex.org/W2917144346","https://openalex.org/W1962750164","https://openalex.org/W2561326964","https://openalex.org/W2427644309","https://openalex.org/W4251806996","https://openalex.org/W2166423598"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}