{"id":"https://openalex.org/W4395065461","doi":"https://doi.org/10.48550/arxiv.2404.13965","title":"Banded totally positive matrices and normality for mixed multiple orthogonal polynomials","display_name":"Banded totally positive matrices and normality for mixed multiple orthogonal polynomials","publication_year":2024,"publication_date":"2024-04-22","ids":{"openalex":"https://openalex.org/W4395065461","doi":"https://doi.org/10.48550/arxiv.2404.13965"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2404.13965","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.13965","pdf_url":"https://arxiv.org/pdf/2404.13965","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2404.13965","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031656284","display_name":"Am\u00edlcar Branquinho","orcid":"https://orcid.org/0000-0003-4685-1583","observed_orcids":["https://orcid.org/0000-0003-4685-1583"]},"institutions":[{"id":"https://openalex.org/I4405252691","display_name":"Centro de Matem\u00e1tica","ror":"https://ror.org/0267j0k26","country_code":"PT","type":"education","lineage":["https://openalex.org/I4405252691"]},{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Branquinho, Am\u00edlcar","raw_affiliation_strings":["CMUC , Departamento de Matem\u00e1tica , Universidade de Coimbra , 3001-454 Coimbra , Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMUC , Departamento de Matem\u00e1tica , Universidade de Coimbra , 3001-454 Coimbra , Portugal","institution_ids":["https://openalex.org/I4405252691","https://openalex.org/I76903346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042791626","display_name":"Ana Foulqui\u00e9\u2010Moreno","orcid":"https://orcid.org/0000-0001-5097-950X","observed_orcids":["https://orcid.org/0000-0001-5097-950X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Foulqui\u00e9-Moreno, Ana","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5016129900","display_name":"Manuel Ma\u00f1as","orcid":"https://orcid.org/0000-0003-3764-5737","observed_orcids":["https://orcid.org/0000-0003-3764-5737"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ma\u00f1as, Manuel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied 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/T10792","display_name":"Matrix Theory and Algorithms","score":0.005400000140070915,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.00430000014603138,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/normality","display_name":"normality","score":0.6650000214576721},{"id":"https://openalex.org/keywords/semigroups","display_name":"semigroups","score":0.527999997138977}],"concepts":[{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.72402024269104},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.7037791013717651},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6301449537277222},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4444091320037842},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3865121901035309},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2707247734069824}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2404.13965","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.13965","pdf_url":"https://arxiv.org/pdf/2404.13965","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2404.13965","doi":"https://doi.org/10.48550/arxiv.2404.13965","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2404.13965","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2404.13965","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.13965","pdf_url":"https://arxiv.org/pdf/2404.13965","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1499778340","display_name":"Centro de Matem\u00e1tica da Universidade de Coimbra","funder_award_id":"UIDB/00324/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G2120678701","display_name":null,"funder_award_id":"PID2021\u2010122154NB\u2010I00","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G2590986966","display_name":"Centro de Investiga\u00e7\u00e3o e Desenvolvimento em Matem\u00e1tica e Aplica\u00e7\u00f5es","funder_award_id":"UIDB/04106/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3069120617","display_name":null,"funder_award_id":"04106","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3818084518","display_name":null,"funder_award_id":"UIDP/04106/2020","funder_id":"https://openalex.org/F4320329951","funder_display_name":"Center for Research and Development in Mathematics and Applications"},{"id":"https://openalex.org/G4941397794","display_name":null,"funder_award_id":"UIDB/00324/2020","funder_id":"https://openalex.org/F4320323392","funder_display_name":"Universidade de Coimbra"},{"id":"https://openalex.org/G5575456386","display_name":null,"funder_award_id":"UIDP/04106/2020","funder_id":"https://openalex.org/F4320310000","funder_display_name":"Universidade de Aveiro"},{"id":"https://openalex.org/G6997658380","display_name":null,"funder_award_id":"10.54499","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G7394643644","display_name":"Centro de Investiga\u00e7\u00e3o e Desenvolvimento em Matem\u00e1tica e Aplica\u00e7\u00f5es","funder_award_id":"UIDP/04106/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G8832587989","display_name":null,"funder_award_id":"10.54499/UIDB/00324/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320310000","display_name":"Universidade de Aveiro","ror":"https://ror.org/00nt41z93"},{"id":"https://openalex.org/F4320323392","display_name":"Universidade de Coimbra","ror":"https://ror.org/04z8k9a98"},{"id":"https://openalex.org/F4320323642","display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia e Ensino Superior","ror":"https://ror.org/045b9pr88"},{"id":"https://openalex.org/F4320329951","display_name":"Center for Research and Development in Mathematics and Applications","ror":null},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":"https://ror.org/003x0zc53"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4395065461.pdf","grobid_xml":"https://content.openalex.org/works/W4395065461.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7221044582","https://openalex.org/W2156872351","https://openalex.org/W4404088617","https://openalex.org/W336825228","https://openalex.org/W4387353146","https://openalex.org/W7172406616","https://openalex.org/W7202247050","https://openalex.org/W7140206500","https://openalex.org/W2140714435","https://openalex.org/W7125101368"],"abstract_inverted_index":{"This":[0],"paper":[1,43],"serves":[2],"as":[3],"an":[4],"introduction":[5],"to":[6,47],"banded":[7],"totally":[8],"positive":[9,38],"matrices,":[10],"exploring":[11],"various":[12],"characterizations":[13],"and":[14],"associated":[15,56],"properties.":[16],"A":[17],"significant":[18],"result":[19],"within":[20],"is":[21],"the":[22,25,42,53,66,85],"demonstration":[23],"that":[24,72,81],"collection":[26],"of":[27,55,68],"such":[28],"matrices":[29],"forms":[30],"a":[31,35,61],"semigroup,":[32],"notably":[33],"including":[34],"subset":[36],"permitting":[37],"bidiagonal":[39],"factorization.":[40],"Moreover,":[41],"applies":[44],"this":[45],"concept":[46],"investigate":[48],"step":[49,86],"line":[50,87],"normality":[51,83],"concerning":[52],"degrees":[54],"recursion":[57,74],"polynomials.":[58],"It":[59],"presents":[60],"spectral":[62],"Favard":[63],"theorem,":[64],"ensuring":[65],"existence":[67],"measures,":[69],"thereby":[70],"guaranteeing":[71],"these":[73],"polynomials":[75,80],"represent":[76],"mixed":[77],"multiple":[78],"orthogonal":[79],"maintain":[82],"on":[84],"indices.":[88]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2024-04-24T00:00:00"}
