Repeat the given exercise using the GaussSeidel method. Take the zero vector as the initial approximation and
Question:
Repeat the given exercise using the GaussSeidel method. Take the zero vector as the initial approximation and work with four-significant-digit accuracy until two successive iterates agree within 0.001 in each variable. Compare the number of iterations required by the Jacobi and Gauss-Seidel methods to reach such an approximate solution.
20x1 + x2 - x3 = 17
x1 - 10x2 + x3 = 13
-x1 + x2 + 10x3 = 18
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The GaussSeidel method takes 4 ...View the full answer
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