{"id":"https://openalex.org/W2016006653","doi":"https://doi.org/10.1016/j.amc.2012.08.042","title":"A quick exponentiation algorithm for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si26.gif\" overflow=\"scroll\"><mml:mrow><mml:mn>3</mml:mn><mml:mo>\u00d7</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math> block upper triangular matrices","display_name":"A quick exponentiation algorithm for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si26.gif\" overflow=\"scroll\"><mml:mrow><mml:mn>3</mml:mn><mml:mo>\u00d7</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math> block upper triangular matrices","publication_year":2012,"publication_date":"2012-09-08","ids":{"openalex":"https://openalex.org/W2016006653","doi":"https://doi.org/10.1016/j.amc.2012.08.042","mag":"2016006653"},"language":"lv","primary_location":{"id":"doi:10.1016/j.amc.2012.08.042","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2012.08.042","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5061454674","display_name":"Rafael \u00c1lvarez","orcid":"https://orcid.org/0000-0002-8254-6255"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Rafael \u00c1lvarez","raw_affiliation_strings":["Departmento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E-03080 Alicante, Spain"],"affiliations":[{"raw_affiliation_string":"Departmento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E-03080 Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064786179","display_name":"Clara Gallardo","orcid":null},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Clara Gallardo","raw_affiliation_strings":["Departmento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E-03080 Alicante, Spain"],"affiliations":[{"raw_affiliation_string":"Departmento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E-03080 Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011732149","display_name":"Jos\u00e9 F. Vicent","orcid":"https://orcid.org/0000-0002-2990-1879"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jose Vicent","raw_affiliation_strings":["Departmento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E-03080 Alicante, Spain"],"affiliations":[{"raw_affiliation_string":"Departmento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E-03080 Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017139426","display_name":"Antonio Zamora","orcid":"https://orcid.org/0000-0003-0401-6440"},"institutions":[{"id":"https://openalex.org/I130194489","display_name":"University of Alicante","ror":"https://ror.org/05t8bcz72","country_code":"ES","type":"education","lineage":["https://openalex.org/I130194489"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Antonio Zamora","raw_affiliation_strings":["Departmento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E-03080 Alicante, Spain"],"affiliations":[{"raw_affiliation_string":"Departmento de Ciencia de la Computaci\u00f3n e Inteligencia Artificial, Universidad de Alicante, Campus de San Vicente, Ap. Correos 99, E-03080 Alicante, Spain","institution_ids":["https://openalex.org/I130194489"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011732149"],"corresponding_institution_ids":["https://openalex.org/I130194489"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08649198,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"219","issue":"4","first_page":"2004","last_page":"2016"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/T10849","display_name":"Finite Group Theory Research","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.8423738479614258},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6834434270858765},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5201733112335205},{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.48172929883003235},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43027570843696594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4257138967514038},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3336319327354431},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26827743649482727},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11246317625045776},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.08226156234741211},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07035082578659058}],"concepts":[{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.8423738479614258},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6834434270858765},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5201733112335205},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.48172929883003235},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43027570843696594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4257138967514038},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3336319327354431},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26827743649482727},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11246317625045776},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.08226156234741211},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07035082578659058}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.amc.2012.08.042","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.amc.2012.08.042","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1056402543","display_name":null,"funder_award_id":"GV/2011/01","funder_id":"https://openalex.org/F4320311011","funder_display_name":"Universidad de Alicante"},{"id":"https://openalex.org/G2689643297","display_name":null,"funder_award_id":"GRE09-02","funder_id":"https://openalex.org/F4320321864","funder_display_name":"Generalitat Valenciana"},{"id":"https://openalex.org/G446039131","display_name":null,"funder_award_id":"GV/2012/111","funder_id":"https://openalex.org/F4320311011","funder_display_name":"Universidad de Alicante"},{"id":"https://openalex.org/G6050111702","display_name":null,"funder_award_id":"GV/2011/01","funder_id":"https://openalex.org/F4320321864","funder_display_name":"Generalitat Valenciana"},{"id":"https://openalex.org/G6329687550","display_name":null,"funder_award_id":"GRE10-34","funder_id":"https://openalex.org/F4320311011","funder_display_name":"Universidad de Alicante"},{"id":"https://openalex.org/G74062604","display_name":null,"funder_award_id":"GRE10-34","funder_id":"https://openalex.org/F4320321864","funder_display_name":"Generalitat Valenciana"},{"id":"https://openalex.org/G8013048715","display_name":null,"funder_award_id":"GRE09-02","funder_id":"https://openalex.org/F4320311011","funder_display_name":"Universidad de Alicante"},{"id":"https://openalex.org/G8779044002","display_name":null,"funder_award_id":"GV/2012/111","funder_id":"https://openalex.org/F4320321864","funder_display_name":"Generalitat Valenciana"}],"funders":[{"id":"https://openalex.org/F4320311011","display_name":"Universidad de Alicante","ror":"https://ror.org/05t8bcz72"},{"id":"https://openalex.org/F4320321864","display_name":"Generalitat Valenciana","ror":"https://ror.org/0097mvx21"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1498993177","https://openalex.org/W1501280695","https://openalex.org/W1573455223","https://openalex.org/W1576347883","https://openalex.org/W1607836799","https://openalex.org/W1969341770","https://openalex.org/W1970050218","https://openalex.org/W1976326903","https://openalex.org/W1977502914","https://openalex.org/W2037430361","https://openalex.org/W2046351805","https://openalex.org/W2047891712","https://openalex.org/W2055484840","https://openalex.org/W2056371549","https://openalex.org/W2067955801","https://openalex.org/W2069892855","https://openalex.org/W2081895326","https://openalex.org/W2083993250","https://openalex.org/W2084097914","https://openalex.org/W2094408910","https://openalex.org/W2099317248","https://openalex.org/W2129589282","https://openalex.org/W2160914386","https://openalex.org/W2494421621","https://openalex.org/W2752061190","https://openalex.org/W4230398518","https://openalex.org/W4320800818","https://openalex.org/W6664281035"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2057474768","https://openalex.org/W3082721911","https://openalex.org/W2119606669","https://openalex.org/W1821857592","https://openalex.org/W4213010969","https://openalex.org/W4298965518","https://openalex.org/W2094893810","https://openalex.org/W2148968135","https://openalex.org/W1863709358"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
