{"id":"https://openalex.org/W4412861219","doi":"https://doi.org/10.5206/mt.v5i3.23166","title":"Bidiagonal factoring of Stirling matrices","display_name":"Bidiagonal factoring of Stirling matrices","publication_year":2025,"publication_date":"2025-08-01","ids":{"openalex":"https://openalex.org/W4412861219","doi":"https://doi.org/10.5206/mt.v5i3.23166"},"language":"en","primary_location":{"id":"doi:10.5206/mt.v5i3.23166","is_oa":true,"landing_page_url":"https://doi.org/10.5206/mt.v5i3.23166","pdf_url":null,"source":{"id":"https://openalex.org/S4210220724","display_name":"Maple Transactions","issn_l":"2564-3029","issn":["2564-3029"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320378","host_organization_name":"University of Western Ontario Libraries","host_organization_lineage":["https://openalex.org/P4310320378"],"host_organization_lineage_names":["University of Western Ontario Libraries"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Maple Transactions","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.5206/mt.v5i3.23166","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044605948","display_name":"Robert M. Corless","orcid":"https://orcid.org/0000-0003-0515-1572"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Robert Corless","raw_affiliation_strings":["Editor-in-Chief, Maple Transactions"],"raw_orcid":"https://orcid.org/0000-0003-0515-1572","affiliations":[{"raw_affiliation_string":"Editor-in-Chief, Maple Transactions","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051667032","display_name":"David J. Jeffrey","orcid":"https://orcid.org/0000-0002-2161-6803"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"David Jeffrey","raw_affiliation_strings":["University of Western Ontario"],"raw_orcid":"https://orcid.org/0000-0002-2161-6803","affiliations":[{"raw_affiliation_string":"University of Western Ontario","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038969403","display_name":"Qingze Li","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Qingze Li","raw_affiliation_strings":["University of Western Ontario"],"raw_orcid":"https://orcid.org/0009-0007-3719-133X","affiliations":[{"raw_affiliation_string":"University of Western Ontario","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044605948"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15525194,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.998199999332428,"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":0.998199999332428,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9934999942779541,"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"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/factoring","display_name":"Factoring","score":0.856205940246582},{"id":"https://openalex.org/keywords/stirling-engine","display_name":"Stirling engine","score":0.6957470178604126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4176328182220459},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3704012930393219},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3415263295173645},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3306676745414734},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24014967679977417},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.18769937753677368},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13399270176887512},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.07611861824989319},{"id":"https://openalex.org/keywords/accounting","display_name":"Accounting","score":0.05379113554954529}],"concepts":[{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.856205940246582},{"id":"https://openalex.org/C27134321","wikidata":"https://www.wikidata.org/wiki/Q186212","display_name":"Stirling engine","level":2,"score":0.6957470178604126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4176328182220459},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3704012930393219},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3415263295173645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3306676745414734},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24014967679977417},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.18769937753677368},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13399270176887512},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.07611861824989319},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.05379113554954529}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5206/mt.v5i3.23166","is_oa":true,"landing_page_url":"https://doi.org/10.5206/mt.v5i3.23166","pdf_url":null,"source":{"id":"https://openalex.org/S4210220724","display_name":"Maple Transactions","issn_l":"2564-3029","issn":["2564-3029"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320378","host_organization_name":"University of Western Ontario Libraries","host_organization_lineage":["https://openalex.org/P4310320378"],"host_organization_lineage_names":["University of Western Ontario Libraries"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Maple Transactions","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.5206/mt.v5i3.23166","is_oa":true,"landing_page_url":"https://doi.org/10.5206/mt.v5i3.23166","pdf_url":null,"source":{"id":"https://openalex.org/S4210220724","display_name":"Maple Transactions","issn_l":"2564-3029","issn":["2564-3029"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320378","host_organization_name":"University of Western Ontario Libraries","host_organization_lineage":["https://openalex.org/P4310320378"],"host_organization_lineage_names":["University of Western Ontario Libraries"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Maple Transactions","raw_type":"journal-article"},"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/W4391375266","https://openalex.org/W2377710379","https://openalex.org/W2947911821","https://openalex.org/W2393473966","https://openalex.org/W2260256814","https://openalex.org/W2944757884","https://openalex.org/W2997214518","https://openalex.org/W2963853167","https://openalex.org/W2366592368","https://openalex.org/W2594575493"],"abstract_inverted_index":{"Stirling":[0,4,16],"cycle":[1,17],"numbers":[2,6],"and":[3],"partition":[5],"have":[7],"many":[8],"combinatorial":[9],"applications.":[10],"A":[11],"symmetric":[12],"matrix":[13],"built":[14],"from":[15],"numbers,":[18],"which":[19],"is":[20],"known":[21],"to":[22],"be":[23],"totally":[24],"nonnegative,":[25],"appears":[26],"as":[27],"https://oeis.org/A137854":[28],"in":[29],"the":[30],"Online":[31],"Encyclopedia":[32],"of":[33,44],"Integer":[34],"Sequences.":[35],"In":[36],"this":[37],"paper":[38],"we":[39],"give":[40],"analytical":[41],"bidiagonal":[42],"factorings":[43],"these":[45],"matrices.":[46]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}