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The Solution Set of Interval Linear Equations is Homeomorphic to the Unit Cube: An Explicit Construction

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    0451072 - ÚI 2016 RIV NL eng J - Journal Article
    Rohn, Jiří
    The Solution Set of Interval Linear Equations is Homeomorphic to the Unit Cube: An Explicit Construction.
    Reliable Computing. Roč. 21, November (2015), s. 25-34. E-ISSN 1573-1340
    Institutional support: RVO:67985807
    Keywords : interval linear equations * solution set * unit cube * homeomorphism * absolute value equation
    Subject RIV: BA - General Mathematics
    http://interval.louisiana.edu/reliable-computing-journal/volume-21/reliable-computing-21-pp-025-034.pdf

    It is proved that the solution set of a system of interval linear equations with a regular interval matrix and a thick right-hand side is homeomorphic to the unit cube, and an explicit homeomorphism is described.
    Permanent Link: http://hdl.handle.net/11104/0252261

     
     
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