Let an iterative solution of a system of linear equations be defined by...

$\displaystyle x^{(k+1)} = Gx^{(k)} + c, k = 1, 2, ...$

$\displaystyle G = \left[ \begin{array}{cccc} 0.08 & 0 & 0.05 \\ 0.04 & 0.1 & 0.02 \\ 0 & 0 & 0.08 \end{array} \right] $

Determine the rate of convergence for the iterative method and explain your work.

Once again, finding it hard to find information that explains this sort of thing clearly, so any help greatly appreciated.

Thanks.