Exercise 4 Convergence after one step Consider the function f(r) = aT Ar +bTa+c, where A is symmetric and positive definite. In particular, there exists a unique optimal solution r = -A-b. Show that the method of steepest descent with exact line search converges after one iteration if the start vector xo is given by ro = x + Av, where v # 0 is an eigenvector of A. %3D

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