{"id":"https://openalex.org/W1992041237","doi":"https://doi.org/10.1080/03081088208817460","title":"Some problems and results concerning the spectrums of stochastic matrices\u2020","display_name":"Some problems and results concerning the spectrums of stochastic matrices\u2020","publication_year":1982,"publication_date":"1982-01-01","ids":{"openalex":"https://openalex.org/W1992041237","doi":"https://doi.org/10.1080/03081088208817460","mag":"1992041237"},"language":"en","primary_location":{"id":"doi:10.1080/03081088208817460","doi":"https://doi.org/10.1080/03081088208817460","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081088208817460","pdf_url":null,"source":{"id":"https://openalex.org/S150125562","display_name":"Linear and Multilinear Algebra","issn_l":"0308-1087","issn":["0308-1087","1026-7573","1563-5139"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear and Multilinear Algebra","raw_type":"journal-article"},"volume":null,"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/A5050842817","display_name":"Richard Sinkhorn","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Richard Sinkhorn","raw_affiliation_strings":["University of Houston, Houston, Texas, 77004","University of Houston , Houston, Texas, 77004"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Houston, Houston, Texas, 77004","institution_ids":["https://openalex.org/I44461941"]},{"raw_affiliation_string":"University of Houston , Houston, Texas, 77004","institution_ids":["https://openalex.org/I44461941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050842817"],"corresponding_institution_ids":["https://openalex.org/I44461941"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1308283,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"4","first_page":"357","last_page":"361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9937000274658203,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9937000274658203,"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/T11476","display_name":"Graph theory and applications","score":0.0020000000949949026,"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"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.0005000000237487257,"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/stochastic-matrices","display_name":"stochastic matrices","score":0.9369999766349792},{"id":"https://openalex.org/keywords/row-stochastic-matrices","display_name":"row-stochastic matrices","score":0.8450000286102295},{"id":"https://openalex.org/keywords/nonnegative-matrices","display_name":"nonnegative matrices","score":0.9210000038146973},{"id":"https://openalex.org/keywords/doubly-stochastic-matrices","display_name":"doubly stochastic matrices","score":0.8090000152587891},{"id":"https://openalex.org/keywords/matrix-spectrum","display_name":"matrix spectra","score":0.5669999718666077},{"id":"https://openalex.org/keywords/eigenvalues","display_name":"eigenvalues","score":0.7129999995231628},{"id":"https://openalex.org/keywords/diagonal-scaling","display_name":"diagonal scaling","score":0.5669999718666077},{"id":"https://openalex.org/keywords/matrix-factorization","display_name":"matrix factorization","score":0.3720000088214874}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.774997353553772},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7387655377388},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5218509435653687},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4366387128829956},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.418517529964447},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.41232702136039734},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36322569847106934},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2359822690486908},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06461620330810547},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06379649043083191},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03081088208817460","doi":"https://doi.org/10.1080/03081088208817460","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081088208817460","pdf_url":null,"source":{"id":"https://openalex.org/S150125562","display_name":"Linear and Multilinear Algebra","issn_l":"0308-1087","issn":["0308-1087","1026-7573","1563-5139"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear and Multilinear Algebra","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2003447360","https://openalex.org/W2334426256"],"related_works":["https://openalex.org/W1529195008","https://openalex.org/W2070323717","https://openalex.org/W3157489721","https://openalex.org/W38983538","https://openalex.org/W2924468784","https://openalex.org/W3122236551","https://openalex.org/W2034395027","https://openalex.org/W1525824672","https://openalex.org/W2950949038","https://openalex.org/W351236607"],"abstract_inverted_index":{"Let":[0],"Abe":[1],"an":[2],"n\u00d7":[3],"nnonnegative":[4],"matrix.":[5],"Under":[6],"suitable":[7],"conditions":[8],"there":[9],"exist":[10],"diagonal":[11],"matrices":[12],"Dand":[13],"Ewith":[14],"positive":[15],"main":[16],"diagonals":[17],"such":[18],"that":[19],"DAEis":[20],"doubly":[21],"stochastic.":[22,38],"In":[23],"this":[24],"paper":[25],"we":[26],"discuss":[27],"some":[28],"problems":[29],"concerning":[30],"the":[31],"spectrums":[32],"of":[33],"Aand":[34],"DAEwhen":[35],"Ais":[36],"row":[37]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}