Numerical Method20795 marksNumerical: Gauss-Seidel methodGauss-Seidal Method
Solve the following set of equations using Gauss Siedal method.
Solve the following set of equations using Gauss Siedal method.
$$ \begin{aligned} x + 2y + 3z &= 4 \ 6x + 4y + 5z &= 16 \ 5x + 2y + 3z &= 12 \end{aligned} $$
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The system of equations: $$x + 2y + 3z = 4 \quad \text{...(1)}$$ $$6x + 4y + 5z = 16 \quad \text{...(2)}$$ $$5x + 2y + 3z = 12 \quad \text{...(3)}$$ Initial guess (standard assumption): $x^{(0)} = y^{(0)} = z^{(0)} = 0$. For Gauss-Seidel to converge reliably, we should try to arrange the largest ...