{"id":"https://openalex.org/W2128309989","doi":"https://doi.org/10.1080/00207169908804890","title":"Necessary and sufficient conditions for the regularity of an interval matrix","display_name":"Necessary and sufficient conditions for the regularity of an interval matrix","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2128309989","doi":"https://doi.org/10.1080/00207169908804890","mag":"2128309989"},"language":"en","primary_location":{"id":"doi:10.1080/00207169908804890","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804890","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5062596032","display_name":"Mohammed Al Yousef","orcid":null},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"M. Yousef","raw_affiliation_strings":["Department of Mathematical Sciences , King Fahd University of Petroleum and Minerals , Dhahran, 31261, Saudi Arabia","Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences , King Fahd University of Petroleum and Minerals , Dhahran, 31261, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]},{"raw_affiliation_string":"Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia,","institution_ids":["https://openalex.org/I134085113"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071513777","display_name":"M. B. M. Elgindi","orcid":null},"institutions":[{"id":"https://openalex.org/I124727415","display_name":"University of Wisconsin\u2013Eau Claire","ror":"https://ror.org/03mnm0t94","country_code":"US","type":"education","lineage":["https://openalex.org/I124727415"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M.B.M. Elgindi","raw_affiliation_strings":["Department of Mathematics , University of Wisconsin-Em Claire , Eau Claire, WI, 54702-4004, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Wisconsin-Em Claire , Eau Claire, WI, 54702-4004, USA","institution_ids":["https://openalex.org/I124727415"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017020718","display_name":"M.A. El-gebility","orcid":null},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"M.A. El-gebility","raw_affiliation_strings":["Department of Mathematical Sciences , King Fahd University of Petroleum and Minerals , Dhahran, 31261, Saudi Arabia","Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences , King Fahd University of Petroleum and Minerals , Dhahran, 31261, Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]},{"raw_affiliation_string":"Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia,","institution_ids":["https://openalex.org/I134085113"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062596032"],"corresponding_institution_ids":["https://openalex.org/I134085113"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22642851,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"73","issue":"2","first_page":"217","last_page":"223"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9940999746322632,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9940999746322632,"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/T11236","display_name":"Control Systems and Identification","score":0.9273999929428101,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10320","display_name":"Neural Networks and Applications","score":0.9176999926567078,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8286811113357544},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.8116815090179443},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6469545960426331},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6356987357139587},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.5178447365760803},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4776916801929474},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46156826615333557},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2501440644264221},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.23232340812683105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09947043657302856}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8286811113357544},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.8116815090179443},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6469545960426331},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6356987357139587},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.5178447365760803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4776916801929474},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46156826615333557},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2501440644264221},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.23232340812683105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09947043657302856},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169908804890","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804890","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W646537918","https://openalex.org/W1967231248","https://openalex.org/W2038254351","https://openalex.org/W2147644528"],"related_works":["https://openalex.org/W2355730523","https://openalex.org/W152021879","https://openalex.org/W2365629437","https://openalex.org/W2072918937","https://openalex.org/W2023935927","https://openalex.org/W2348330439","https://openalex.org/W2350372928","https://openalex.org/W2377292126","https://openalex.org/W2128900334","https://openalex.org/W2139109546"],"abstract_inverted_index":{"Verifiable":[0],"necessary":[1],"and":[2],"sufficient":[3],"conditions":[4,16],"for":[5,19],"regularity":[6,22],"of":[7,23,41,44],"an":[8,17],"interval":[9,24,45],"matrix":[10],"are":[11],"given.":[12],"Based":[13],"on":[14],"these":[15],"algorithm":[18,33],"checking":[20],"the":[21,39],"matrices":[25],"is":[26,29],"developed.":[27],"It":[28],"shown":[30],"that":[31],"this":[32],"can":[34],"be":[35],"modified":[36],"to":[37],"determine":[38],"stability":[40],"a":[42],"class":[43],"matrices.":[46]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}