{"id":"https://openalex.org/W4401054949","doi":"https://doi.org/10.1142/s0218196724500413","title":"Showcasing straight-line programs with memory via matrix Bruhat decomposition","display_name":"Showcasing straight-line programs with memory via matrix Bruhat decomposition","publication_year":2024,"publication_date":"2024-07-27","ids":{"openalex":"https://openalex.org/W4401054949","doi":"https://doi.org/10.1142/s0218196724500413"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196724500413","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500413","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://api.research-repository.uwa.edu.au/ws/files/451791977/MSLP_1_.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050998707","display_name":"Alice C. Niemeyer","orcid":"https://orcid.org/0000-0002-2163-3240"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Alice C. Niemeyer","raw_affiliation_strings":["Chair for Algebra and Representation Theory, RWTH Aachen University, Pontdriesch 10-16, Aachen 52062, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2163-3240","affiliations":[{"raw_affiliation_string":"Chair for Algebra and Representation Theory, RWTH Aachen University, Pontdriesch 10-16, Aachen 52062, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070021266","display_name":"Tomasz Popiel","orcid":"https://orcid.org/0000-0003-2974-1470"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tomasz Popiel","raw_affiliation_strings":["School of Mathematics, Monash University, 9 Rainforest Walk, Clayton, VIC 3800, Australia"],"raw_orcid":"https://orcid.org/0000-0003-2974-1470","affiliations":[{"raw_affiliation_string":"School of Mathematics, Monash University, 9 Rainforest Walk, Clayton, VIC 3800, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043525348","display_name":"Cheryl E. Praeger","orcid":"https://orcid.org/0000-0002-0881-7336"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Cheryl E. Praeger","raw_affiliation_strings":["Centre for the Mathematics of Symmetry and Computation, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia"],"raw_orcid":"https://orcid.org/0000-0002-0881-7336","affiliations":[{"raw_affiliation_string":"Centre for the Mathematics of Symmetry and Computation, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5097372959","display_name":"Daniel Rademacher","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Rademacher","raw_affiliation_strings":["Chair for Algebra and Representation Theory, RWTH Aachen University, Pontdriesch 10-16, Aachen 52062, Germany"],"raw_orcid":"https://orcid.org/0009-0004-0638-0873","affiliations":[{"raw_affiliation_string":"Chair for Algebra and Representation Theory, RWTH Aachen University, Pontdriesch 10-16, Aachen 52062, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050998707"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14002253,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"07","first_page":"1059","last_page":"1090"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9879999756813049,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9879999756813049,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9726999998092651,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/mathematics","display_name":"Mathematics","score":0.7668049335479736},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5757634043693542},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5348675847053528},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5284469127655029},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4822152853012085},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3904431462287903},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36417096853256226},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09598475694656372},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.0628943145275116}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7668049335479736},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5757634043693542},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5348675847053528},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5284469127655029},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4822152853012085},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3904431462287903},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36417096853256226},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09598475694656372},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0628943145275116},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218196724500413","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500413","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/be75ed86-6555-4bd9-8bc3-e2dbaac3572e","is_oa":true,"landing_page_url":"https://admin.research-repository.uwa.edu.au/en/publications/be75ed86-6555-4bd9-8bc3-e2dbaac3572e","pdf_url":"https://api.research-repository.uwa.edu.au/ws/files/451791977/MSLP_1_.pdf","source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Niemeyer, A C, Popiel, T, Praeger, C E & Rademacher, D 2024, 'Showcasing straight-line programs with memory via matrix Bruhat decomposition', International Journal of Algebra and Computation, vol. 34, no. 7, pp. 1059-1090. https://doi.org/10.1142/S0218196724500413","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.atira.dk:publications/be75ed86-6555-4bd9-8bc3-e2dbaac3572e","is_oa":true,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/be75ed86-6555-4bd9-8bc3-e2dbaac3572e","pdf_url":null,"source":{"id":"https://openalex.org/S4306402492","display_name":"UWA Profiles and Research Repository (UWA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Niemeyer, A C, Popiel, T, Praeger, C E & Rademacher, D 2024, 'Showcasing straight-line programs with memory via matrix Bruhat decomposition', International Journal of Algebra and Computation, vol. 34, no. 7, pp. 1059-1090. https://doi.org/10.1142/S0218196724500413","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire/be75ed86-6555-4bd9-8bc3-e2dbaac3572e","is_oa":true,"landing_page_url":"https://admin.research-repository.uwa.edu.au/en/publications/be75ed86-6555-4bd9-8bc3-e2dbaac3572e","pdf_url":"https://api.research-repository.uwa.edu.au/ws/files/451791977/MSLP_1_.pdf","source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Niemeyer, A C, Popiel, T, Praeger, C E & Rademacher, D 2024, 'Showcasing straight-line programs with memory via matrix Bruhat decomposition', International Journal of Algebra and Computation, vol. 34, no. 7, pp. 1059-1090. https://doi.org/10.1142/S0218196724500413","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1326879771","display_name":null,"funder_award_id":"TRR 195","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3556932044","display_name":null,"funder_award_id":"286237555","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6219205549","display_name":null,"funder_award_id":"DP190100450","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8548417885","display_name":null,"funder_award_id":"SFB-TRR 195","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401054949.pdf","grobid_xml":"https://content.openalex.org/works/W4401054949.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W77448464","https://openalex.org/W135053117","https://openalex.org/W618980177","https://openalex.org/W1041687210","https://openalex.org/W1561337879","https://openalex.org/W1570532020","https://openalex.org/W1976677460","https://openalex.org/W1980351200","https://openalex.org/W1988156933","https://openalex.org/W2020801138","https://openalex.org/W2039498982","https://openalex.org/W2081165772","https://openalex.org/W2093439469","https://openalex.org/W2167474146","https://openalex.org/W2335659526","https://openalex.org/W2964838086","https://openalex.org/W3007393397","https://openalex.org/W4213216172"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W2090715877","https://openalex.org/W2572370460"],"abstract_inverted_index":{"We":[0,37],"suggest":[1],"that":[2,17,72],"straight-line":[3,51],"programs":[4,52],"designed":[5],"for":[6,41,53],"algebraic":[7,26],"computations":[8],"should":[9],"be":[10],"accompanied":[11],"by":[12],"a":[13,66],"comprehensive":[14],"complexity":[15],"analysis":[16],"takes":[18],"into":[19],"account":[20],"both":[21],"the":[22,54],"number":[23],"of":[24,57,69],"fundamental":[25],"operations":[27],"needed,":[28],"as":[29,31,46],"well":[30],"memory":[32],"requirements":[33],"arising":[34],"during":[35,86],"evaluation.":[36,87],"introduce":[38],"an":[39],"approach":[40],"formalizing":[42],"this":[43],"idea":[44],"and,":[45],"illustration,":[47],"construct":[48],"and":[49,78],"analyze":[50],"Bruhat":[55],"decomposition":[56],"[Formula:":[58,75,82],"see":[59,76,83],"text]":[60,77,84],"matrices":[61,85],"with":[62],"determinant":[63],"1":[64],"over":[65],"finite":[67],"field":[68],"order":[70],"q":[71],"have":[73],"length":[74],"require":[79],"storing":[80],"only":[81]},"counts_by_year":[],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}