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The Equation |x| - |Ax| = b

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    0523560 - ÚI 2020 CZ eng V - Research Report
    Rohn, Jiří
    The Equation |x| - |Ax| = b.
    Prague: ICS CAS, 2020. 7 s. Technical Report, V-1277.
    Institutional support: RVO:67985807
    Keywords : absolute value equation * double absolute value equation * orthantwise solvability * theorem of the alternatives
    OECD category: Pure mathematics

    We formulate conditions on A and b under which the double absolute value equation |x| - |Ax| = b possesses in each orthant a unique solution which, moreover, belongs to the interior of that orthant.
    Permanent Link: http://hdl.handle.net/11104/0307902

     
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