{"id":"https://openalex.org/W2044423656","doi":"https://doi.org/10.1137/070692807","title":"Nonnegative Matrices That Are Similar to Positive Matrices","display_name":"Nonnegative Matrices That Are Similar to Positive Matrices","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2044423656","doi":"https://doi.org/10.1137/070692807","mag":"2044423656"},"language":"en","primary_location":{"id":"doi:10.1137/070692807","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070692807","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","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/A5108574241","display_name":"Thomas J. Laffey","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thomas J. Laffey","raw_affiliation_strings":["thomas.laffey@ucd.ie and helena.smigoc@maths.ucd.ie#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"thomas.laffey@ucd.ie and helena.smigoc@maths.ucd.ie#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008695533","display_name":"Raphael Loewy","orcid":"https://orcid.org/0000-0002-3969-6370"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Raphael Loewy","raw_affiliation_strings":["loewy@techunix.technion.ac.il#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"loewy@techunix.technion.ac.il#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069476251","display_name":"Helena \u0160migoc","orcid":"https://orcid.org/0000-0002-4523-8181"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Helena \u0160migoc","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0415,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.76740231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"31","issue":"2","first_page":"629","last_page":"649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9993000030517578,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8720476627349854},{"id":"https://openalex.org/keywords/nonnegative-matrix","display_name":"Nonnegative matrix","score":0.8007315397262573},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6097447872161865},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5403819680213928},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5047229528427124},{"id":"https://openalex.org/keywords/matrix-analysis","display_name":"Matrix analysis","score":0.4929471015930176},{"id":"https://openalex.org/keywords/complex-matrix","display_name":"Complex matrix","score":0.4509531855583191},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.4314882755279541},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34660351276397705},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32701271772384644},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.21231511235237122},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.16220763325691223}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8720476627349854},{"id":"https://openalex.org/C139018669","wikidata":"https://www.wikidata.org/wiki/Q6961560","display_name":"Nonnegative matrix","level":4,"score":0.8007315397262573},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6097447872161865},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5403819680213928},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5047229528427124},{"id":"https://openalex.org/C149488123","wikidata":"https://www.wikidata.org/wiki/Q17098730","display_name":"Matrix analysis","level":3,"score":0.4929471015930176},{"id":"https://openalex.org/C2988629283","wikidata":"https://www.wikidata.org/wiki/Q44337","display_name":"Complex matrix","level":2,"score":0.4509531855583191},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.4314882755279541},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34660351276397705},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32701271772384644},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.21231511235237122},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.16220763325691223},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/070692807","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070692807","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1551959850","https://openalex.org/W1964042213","https://openalex.org/W1971626901","https://openalex.org/W1974699238","https://openalex.org/W1999879011","https://openalex.org/W2004185271","https://openalex.org/W2013918178","https://openalex.org/W2019562133","https://openalex.org/W2047459896","https://openalex.org/W2055954117","https://openalex.org/W2061951988","https://openalex.org/W2064269790","https://openalex.org/W2064403964","https://openalex.org/W2076940711","https://openalex.org/W2093013597","https://openalex.org/W2121535561"],"related_works":["https://openalex.org/W1972395510","https://openalex.org/W2885184603","https://openalex.org/W2374269353","https://openalex.org/W2330443932","https://openalex.org/W2366374815","https://openalex.org/W2349275913","https://openalex.org/W3118313937","https://openalex.org/W2963605518","https://openalex.org/W1976693690","https://openalex.org/W2742097686"],"abstract_inverted_index":{"We":[0,21],"study":[1],"the":[2,37],"question":[3],"in":[4,19],"which":[5],"nonnegative":[6,26,43],"matrices":[7,12,27,34],"are":[8,29],"similar":[9,31],"to":[10,32,52],"positive":[11,33],"first":[13],"raised":[14],"by":[15],"Borobia":[16],"and":[17,35],"Moro":[18],"1997.":[20],"identify":[22],"certain":[23],"classes":[24],"of":[25],"that":[28],"not":[30],"solve":[36],"problem":[38],"when":[39],"an":[40],"$n\\times":[41],"n$":[42],"matrix":[44],"has":[45],"exactly":[46],"n":[47],"or":[48],"$n+1$":[49],"elements":[50],"equal":[51],"zero.":[53]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}