{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-EUL8LDG5/013d9851-dfa3-48ae-ba65-6e531f36b877/PDF","dcterms:extent":"154 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-EUL8LDG5/4732be86-b324-4af2-8e6f-de8593ddb5ab/TEXT","dcterms:extent":"14 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2026","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2026"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-EUL8LDG5","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-FNN1A9OB"},{"@xml:lang":"sl","#text":"Obzornik za matematiko in fiziko"}],"dcterms:issued":"2013","dc:creator":"Dobovišek, Mirko","dc:format":[{"@xml:lang":"sl","#text":"številka:5"},{"@xml:lang":"sl","#text":"letnik:60"},{"@xml:lang":"sl","#text":"str. 173-182"}],"dc:identifier":["ISSN:0473-7466","COBISSID:16830297","URN:URN:NBN:SI:doc-EUL8LDG5"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov Slovenije"},"dc:subject":[{"@xml:lang":"sl","#text":"Matlab"},{"@xml:lang":"en","#text":"matrix theory"},{"@xml:lang":"en","#text":"numerical range"},{"@xml:lang":"sl","#text":"numerični zaklad"},{"@xml:lang":"en","#text":"Riccati equation"},{"@xml:lang":"sl","#text":"Riccatijeva enačba"},{"@xml:lang":"sl","#text":"teorija matrik"},{"@rdf:resource":"http://www.wikidata.org/entity/Q851503"}],"dcterms:temporal":{"@rdf:resource":"2008-2026"},"dc:title":{"@xml:lang":"sl","#text":"k-Numerični zaklad matrike|"},"dc:description":[{"@xml:lang":"sl","#text":"For any ?$n \\times n$? complex matrix ?$A$? and any ?$k \\in \\mathbb{N}, \\; 1 \\le k \\le n$?, let ?$\\Lambda_k(A) = \\{ \\lambda \\in \\mathbb{C} \\colon PAP = \\lambda P, \\; P^2 = P, \\; P^\\ast = P, \\; \\text{rank } P = k \\}$?. An overview of some new results about rank ?$k$?-numerical range is given in the article. Its convexity is proved, and a short program in MATLAB is given for computation of ?$\\Lambda_k(A)$?"},{"@xml:lang":"sl","#text":"Za vsako ?$n \\times n$? matriko ?$A$? in vsak ?$k \\in \\mathbb{N}, \\; 1 \\le k \\le n$?, je ?$k$?-numerični zaklad definiran kot ?$\\Lambda_k(A) = \\{ \\lambda \\in \\mathbb{C} \\colon PAP = \\lambda P, \\; \\text{za neki ortogonalni projektor } P \\text{ ranga }k \\}$?. V članku je pregled nekaterih novejših rezultatov o ?$k$?-numeričnem zakladu matrike. Dokazana je njegova konveksnost in dodan kratek program za risanje ?$\\Lambda_k(A)$?"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-EUL8LDG5","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-EUL8LDG5"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-EUL8LDG5/013d9851-dfa3-48ae-ba65-6e531f36b877/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Društvo matematikov, fizikov in astronomov"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-EUL8LDG5/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-EUL8LDG5"}}}}