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Is it true that the Jacobi and Gauss-Seidel methods will always have the same iterative matrix T
(as in X(n+1) = T*X(n)+c) , and therefore the same requirements for convergence (spectral
radius of T <= infinity norm of T < 1)?
Solution
In numerical linear algebra, the Gauss

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Is it true that the Jacobi and Gauss-Seidel methods will always have.pdf

  • 1. Is it true that the Jacobi and Gauss-Seidel methods will always have the same iterative matrix T (as in X(n+1) = T*X(n)+c) , and therefore the same requirements for convergence (spectral radius of T <= infinity norm of T < 1)? Solution In numerical linear algebra, the Gauss