Do 5 steps. starting from Xo = [I 1 IJT. Compare with the Gauss-Seidel iteration. Which
Chapter 20, Problem 20.1.51(choose chapter or problem)
Do 5 steps. starting from \(\mathbf{x}_{0}=\left[\begin{array}{lll}1 & 1 & 1\end{array}\right]^{\top}\). Compare with the Gauss-Seidel iteration. Which of the two seems to converge faster? (Show the details of your work.)
Show convergence in Prob. 14 by verifying that I - A, where A is the matrix in Prob. 14 with the rows divided by the corresponding main diagonal entries, has the eigenvalues -0.519589 and 0.259795 \(\pm \ 0.246603 i\).
Text Transcription:
x_0=[1 1 1]^T
+- 0.246603i
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