@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#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00680352v1> a dcat:Dataset ;
    dct:description """
              Interval arithmetic is a means to compute verified results. However, a naive use of interval arithmetic does not provide accurate enclosures of the exact results. Moreover, interval arithmetic computations can be time-consuming. We propose several accurate algorithms and efficient implementations in verified linear algebra using interval arithmetic. Two fundamental problems are addressed, namely the multiplication of interval matrices and the verification of a floating-point solution of a linear system. For the first problem, we propose two algorithms which offer new tradeoffs between speed and accuracy. For the second problem, which is the verification of the solution of a linear system, our main contributions are twofold. First, we introduce a relaxation technique, which reduces drastically the execution time of the algorithm. Second, we propose to use extended precision for few, well-chosen parts of the computations, to gain accuracy without losing much in term of execution time.
            """ ;
    dct:identifier "NNT: 2011ENSL0617" ;
    dct:issued "2026-05-24T05:54:06.265924"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-24T05:54:06.265929"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Efficient algorithms for verified scientific computing : Numerical linear algebra using interval arithmetic" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00680352v1/resource/56f2cea7-4ec3-4a4a-894a-d1b7675272b3> ;
    dcat:keyword "accuracy",
        "algebre-lineaire",
        "arithmetique-flottante",
        "arithmetique-par-intervalles",
        "calcul-scientifique-verifie",
        "efficacite",
        "efficiency",
        "floating-point-arithmetic",
        "infoeu-reposemanticsdoctoralthesis",
        "infoinfo-ohcomputer-science-csother-csoh",
        "interval-arithmetic",
        "linear-algebra",
        "linear-system",
        "matrix-product",
        "performances",
        "precision",
        "produit-de-matrices",
        "systeme-lineaire",
        "theses",
        "verified-scientific-computing" ;
    dcat:landingPage <https://theses.hal.science/tel-00680352> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00680352v1/resource/56f2cea7-4ec3-4a4a-894a-d1b7675272b3> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-24T05:54:06.299512"^^xsd:dateTime ;
    dct:modified "2026-05-24T05:54:06.214053"^^xsd:dateTime ;
    dct:title "Efficient algorithms for verified scientific computing : Numerical linear algebra using interval arithmetic" ;
    dcat:accessURL <https://theses.hal.science/tel-00680352> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://theses.hal.science/tel-00680352> a foaf:Document .