(Answered):Paraphrase 43 . . . .

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In this chapter we analyse Stationary iterative methods for solving systems

. A stationary iterative method can be derived from a splitting of the coefficient matrix as the difference of two matrices and generates a sequence of vectors that is expected to converge to the solution.

We iterate Mx^(k+1) = Nx^(k) +b, using the splitting A = M −N. Even though this is a relatively straightforward class of iterative methods.

Iterative methods that can be expressed in the simple form x^(k+1) = Bx^(k) +c

(where neither nor depend on the iteration count ). The oldest