Question: Q3.1 Basic iterative methods 8 Points Consider the iterative solution of a linear system Ax = b of size n x n by iterative method

 Q3.1 Basic iterative methods 8 Points Consider the iterative solution ofa linear system Ax = b of size n x n by

Q3.1 Basic iterative methods 8 Points Consider the iterative solution of a linear system Ax = b of size n x n by iterative method based on a splitting of the matrix A = D + E and the iteration: Xk+1 = D-16 D-Exk. = For the choice D diag(A) (diagonal part of A) we get the Jacobi iteration, and for the choice D= udiag(A) (upper-triangular part of A) we get the Gauss-Seidel iteration. Consider the matrix A 20 -10 6 - 10 20 3 A= 6 3 14 3 07 1 3 4 0 1 Use MATLAB to compute the iteration matrices B = - D-1E corresponding to this A for the Jacobi iteration, BJacobi, and Gauss-Seidel iteration, BGs. BJacobi BGS = Enter your answer here Define what we mean by the spectral norm of a matrix B. Answer: Enter your answer here What are the corresponding values of the spectral norms p(BJacobi) and p(BGs)? p(BJacobi) = Enter your answer here p(BGs) = = Enter your answer here What does this imply about the convergence of the two iterative methods

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