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Homework Help: Iterative methods to solve linear system of equations

  1. Feb 6, 2012 #1
    Show that if (Spectral radius) ρ(M)≥1 then there are x0 and c such that the iteration xk+1 = Mxk+c fails to converge

    I am very lost on how to solve this problem. All the literature I have been able to read up proves the converse of the statement. I am unable to crack this.

    Show that if A is symmetric & positive definite then BSGS (Symmetric Gauss Seidel) is also symmetric and positive definite

    Any help will be greatly appreciated.

  2. jcsd
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