Q.1) (; ) C a) Let A= Is A stable?

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Q.1)
a) Let A =
. Is A stable?
b) Show that, for the linear system of equations A x = b, if A is positive definite and
tridiagonal matrix, then p(TsR) = P(T), where Te and Tsg are Gauss-Seidel
method and Successive Over Relaxation method matrices, respectively, and w is the
optimal choice of the acceleration factor for Successive Over Relaxation method.
Transcribed Image Text:Q.1) a) Let A = . Is A stable? b) Show that, for the linear system of equations A x = b, if A is positive definite and tridiagonal matrix, then p(TsR) = P(T), where Te and Tsg are Gauss-Seidel method and Successive Over Relaxation method matrices, respectively, and w is the optimal choice of the acceleration factor for Successive Over Relaxation method.
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