{"id":"https://openalex.org/W3122000940","doi":"https://doi.org/10.28924/2291-8639-18-2020-1048","title":"Generalized Spectrum and Numerical Rang of Matrix the Lorentzian Oscillator Group of Dimension Four","display_name":"Generalized Spectrum and Numerical Rang of Matrix the Lorentzian Oscillator Group of Dimension Four","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3122000940","doi":"https://doi.org/10.28924/2291-8639-18-2020-1048","mag":"3122000940"},"language":"en","primary_location":{"id":"doi:10.28924/2291-8639-18-2020-1048","doi":"https://doi.org/10.28924/2291-8639-18-2020-1048","is_oa":true,"landing_page_url":"https://doi.org/10.28924/2291-8639-18-2020-1048","pdf_url":"http://etamaths.com/index.php/ijaa/article/download/2250/599","source":{"id":"https://openalex.org/S2738108037","display_name":"International Journal of Analysis and Applications","issn_l":"2291-8639","issn":["2291-8639"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312907","host_organization_name":"Etamaths Publishing","host_organization_lineage":["https://openalex.org/P4310312907"],"host_organization_lineage_names":["Etamaths Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Analysis and Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://etamaths.com/index.php/ijaa/article/download/2250/599","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071738262","display_name":"Derkaoui RAF\u0130K","orcid":"https://orcid.org/0000-0003-3110-5203","observed_orcids":["https://orcid.org/0000-0003-3110-5203"]},"institutions":[{"id":"https://openalex.org/I137407579","display_name":"Universit\u00e9 Oran 1 Ahmed Ben Bella","ror":"https://ror.org/059et2b68","country_code":"DZ","type":"education","lineage":["https://openalex.org/I137407579"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Rafik Derkaoui","raw_affiliation_strings":["University of Oran 1 Ahmed Ben Bella, Laboratory GEANLAB"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oran 1 Ahmed Ben Bella, Laboratory GEANLAB","institution_ids":["https://openalex.org/I137407579"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021670707","display_name":"Abderrahmane Smail","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I137407579","display_name":"Universit\u00e9 Oran 1 Ahmed Ben Bella","ror":"https://ror.org/059et2b68","country_code":"DZ","type":"education","lineage":["https://openalex.org/I137407579"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Abderrahmane Smail","raw_affiliation_strings":["University of Oran , Laboratory GEANLAB , P.O. Box 1524 , Oran , 31000 , Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oran , Laboratory GEANLAB , P.O. Box 1524 , Oran , 31000 , Algeria","institution_ids":["https://openalex.org/I137407579"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I137407579"],"apc_list":{"value":450,"currency":"USD","value_usd":450},"apc_paid":{"value":450,"currency":"USD","value_usd":450},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.7631999850273132,"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":0.7631999850273132,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.07370000332593918,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.03669999912381172,"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/generalized-spectrum","display_name":"generalized spectrum","score":0.7979999780654907},{"id":"https://openalex.org/keywords/numerical-range","display_name":"numerical range","score":0.7889999747276306},{"id":"https://openalex.org/keywords/pseudospectrum","display_name":"pseudospectra","score":0.9580000042915344},{"id":"https://openalex.org/keywords/matrix-spectrum","display_name":"matrix spectra","score":0.4620000123977661}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8718042373657227},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.7288461327552795},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6940291523933411},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5361300706863403},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5335788130760193},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5330770015716553},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.424453467130661},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3286573588848114},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06246033310890198},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0538594126701355},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.28924/2291-8639-18-2020-1048","doi":"https://doi.org/10.28924/2291-8639-18-2020-1048","is_oa":true,"landing_page_url":"https://doi.org/10.28924/2291-8639-18-2020-1048","pdf_url":"http://etamaths.com/index.php/ijaa/article/download/2250/599","source":{"id":"https://openalex.org/S2738108037","display_name":"International Journal of Analysis and Applications","issn_l":"2291-8639","issn":["2291-8639"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312907","host_organization_name":"Etamaths Publishing","host_organization_lineage":["https://openalex.org/P4310312907"],"host_organization_lineage_names":["Etamaths Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:33d30fd1273e4e78aabe4d58942b28db","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/33d30fd1273e4e78aabe4d58942b28db","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Analysis and Applications, Vol 18, Iss 6, Pp 1048-1055 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.28924/2291-8639-18-2020-1048","doi":"https://doi.org/10.28924/2291-8639-18-2020-1048","is_oa":true,"landing_page_url":"https://doi.org/10.28924/2291-8639-18-2020-1048","pdf_url":"http://etamaths.com/index.php/ijaa/article/download/2250/599","source":{"id":"https://openalex.org/S2738108037","display_name":"International Journal of Analysis and Applications","issn_l":"2291-8639","issn":["2291-8639"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312907","host_organization_name":"Etamaths Publishing","host_organization_lineage":["https://openalex.org/P4310312907"],"host_organization_lineage_names":["Etamaths Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Analysis and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3122000940.pdf","grobid_xml":"https://content.openalex.org/works/W3122000940.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W60769296","https://openalex.org/W90133503","https://openalex.org/W144947161","https://openalex.org/W757340805","https://openalex.org/W1488435683","https://openalex.org/W1971587911","https://openalex.org/W1989366187","https://openalex.org/W2001710996","https://openalex.org/W2019753180","https://openalex.org/W2029220185","https://openalex.org/W2034727122","https://openalex.org/W2070772870","https://openalex.org/W2071852453","https://openalex.org/W2166097772","https://openalex.org/W2397540372","https://openalex.org/W6835984365"],"related_works":["https://openalex.org/W4367678566","https://openalex.org/W6949427000","https://openalex.org/W2488246596","https://openalex.org/W4367628193","https://openalex.org/W3064197765","https://openalex.org/W2891120934","https://openalex.org/W4293863853","https://openalex.org/W2035361561","https://openalex.org/W2105661496","https://openalex.org/W1161771981"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"find":[4],"the":[5,14],"spectrum,":[6],"pseudo-spectrum":[7],"and":[8],"numerical":[9],"rang":[10],"of":[11,13],"matrix":[12],"metric":[15],"ga.":[16]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-02-01T00:00:00"}