@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              In this thesis we present the formalization of three principal results that are the Jordan normal form of a matrix, the Bolzano-Weierstraß theorem, and the Perron-Frobenius theorem. To formalize the Jordan normal form, we introduce many concepts of linear algebra like block diagonal matrices, companion matrices, invariant factors, ... The formalization of Bolzano-Weierstraß theorem needs to develop some theory about topological space and metric space. The Perron-Frobenius theorem is not completly formalized. The proof of this theorem uses both algebraic and topological results. We will show how we reuse the previous results.
            """ ;
    dct:identifier "NNT: 2014NICE4016" ;
    dct:issued "2026-05-05T12:22:41.510701"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-05T12:22:41.510706"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Interaction between linear algebra and analysis in formal mathematics" ;
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            vcard:fn "CCSD" ] ;
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    dcat:keyword "algebre-lineaire",
        "assistant-de-preuve",
        "formal-proof",
        "infoeu-reposemanticsdoctoralthesis",
        "infoinfo-ohcomputer-science-csother-csoh",
        "linear-algebra",
        "preuve-formelle",
        "proof-assistant",
        "theses",
        "topologie",
        "topology" ;
    dcat:landingPage <https://theses.hal.science/tel-00986283> .

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    dct:issued "2026-05-05T12:22:41.512169"^^xsd:dateTime ;
    dct:modified "2026-05-05T12:22:41.497526"^^xsd:dateTime ;
    dct:title "Interaction between linear algebra and analysis in formal mathematics" ;
    dcat:accessURL <https://theses.hal.science/tel-00986283> .

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<https://theses.hal.science/tel-00986283> a foaf:Document .