{"id":"https://openalex.org/W4210649098","doi":"https://doi.org/10.14736/kyb-2021-6-0922","title":"Controllable and tolerable generalized eigenvectors of interval max-plus matrices","display_name":"Controllable and tolerable generalized eigenvectors of interval max-plus matrices","publication_year":2022,"publication_date":"2022-01-30","ids":{"openalex":"https://openalex.org/W4210649098","doi":"https://doi.org/10.14736/kyb-2021-6-0922"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2021-6-0922","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2021-6-0922","pdf_url":"https://www.kybernetika.cz/content/2021/6/922/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.kybernetika.cz/content/2021/6/922/paper.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064825756","display_name":"Matej Gazda","orcid":"https://orcid.org/0000-0002-8405-7017"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Matej Gazda","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5041198608","display_name":"J\u00e1n Plavka","orcid":"https://orcid.org/0000-0002-2728-108X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J\u00e1n Plavka","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064825756"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01151636,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"922","last_page":"938"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9747999906539917,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9595000147819519,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7640258073806763},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.661912202835083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5933810472488403},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5269730091094971},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5126246809959412},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4355045557022095},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36809930205345154},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13969996571540833}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7640258073806763},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.661912202835083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5933810472488403},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5269730091094971},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5126246809959412},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4355045557022095},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36809930205345154},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13969996571540833},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2021-6-0922","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2021-6-0922","pdf_url":"https://www.kybernetika.cz/content/2021/6/922/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/149348","is_oa":false,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/149348","pdf_url":null,"source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text:not_categorized"}],"best_oa_location":{"id":"doi:10.14736/kyb-2021-6-0922","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2021-6-0922","pdf_url":"https://www.kybernetika.cz/content/2021/6/922/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4210649098.pdf","grobid_xml":"https://content.openalex.org/works/W4210649098.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W81998003","https://openalex.org/W1508373211","https://openalex.org/W2003932434","https://openalex.org/W2036772106","https://openalex.org/W2063803408","https://openalex.org/W2109513024","https://openalex.org/W2127017400","https://openalex.org/W2151838128","https://openalex.org/W2319002606","https://openalex.org/W2324212677","https://openalex.org/W2326113343","https://openalex.org/W2395584538","https://openalex.org/W2402154601","https://openalex.org/W2487411778","https://openalex.org/W2565162547","https://openalex.org/W2902197338","https://openalex.org/W2963477612","https://openalex.org/W3104719736"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W2165749285","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W2350063940"],"abstract_inverted_index":{"By":[0],"max-plus":[1,41],"algebra":[2],"we":[3],"mean":[4],"the":[5,12],"set":[6],"of":[7,40],"reals":[8],"R":[9],"equipped":[10],"with":[11],"operations":[13],"a":[14,20,23,37],"b":[15,21,25,28],"=":[16,22],"max{a,":[17],"b}":[18],"and":[19],"+":[24],"for":[26],"a,":[27],"R.":[29],"A":[30],"vector":[31],"x":[32],"is":[33],"said":[34],"to":[35],"be":[36],"generalized":[38],"eigenvector":[39],"matrices":[42]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
