Course Solutions Uncategorized (Solved) : Jacobi Iterative Method Purpose Solve Ax B Given Initial Approximation X Input Number Equ Q30352027 . . . .

(Solved) : Jacobi Iterative Method Purpose Solve Ax B Given Initial Approximation X Input Number Equ Q30352027 . . . .

 

Jacobi Iterative Method. Purpose: To solve Ax - b, given an initial approximation x°. INPUT: The number of equations and unknowns n; the matrix (A) - ay, the entries b, the entries of XO = x(0), for l s n; the error tolerance TOL; the maximum number of iterations N. OUTPUT: The approximate solution x,,. ..,x, or a message that the number of iterations was exceeded. Step 1. Set k-1 Step 2. While ks N do Steps 3-6. Step 3. For i-1,...,n j-1 ?1 ji Step 4. If II x-XO lk TOL , then OUTPUT Xi, Step 5. Set k=k+1 Step 6. For i1,., setXO, -x , xn. STOP Step 7. OUTPUT(Max number of iterations exceeded). STOPWrite

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