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.
3x1 - x2 = 1
x1 + 4x2 + x3 = 1
x2 + 3x3 = 1
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Step by Step Answer:
The GaussSeidel method takes 5 steps ...View the full answer
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