Vector Norms - USM
iterative methods for solving systems of linear equations. An important question is whether a sequence of this form converges to the zero vector. This will be the case if lim k!1 kx(k)k= 0 in some vector norm. From the de nition of x(k), we must have lim k!1 kAkx(0)k= 0: From the submultiplicative property of matrix norms, kAkx(0)k kAkkkx(0)k;
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