Given the system of linear equations: x + y/2 = 9 3x + y = 10 Apply the…

GATE · 2006 · IT

Given the system of linear equations:

x + y/2 = 9
3x + y = 10

Apply the Gauss-Seidel iterative method, using 3x + y = 10 to update x and x + y/2 = 9 to update y at each step. What can be said about the convergence of this iterative method for the above system?

  1. A.

    It will converge

  2. B.

    It will diverge

  3. C.

    It will neither converge nor diverge

  4. D.

    It is not applicable

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