Study the convergence of the Jacobi and the Gauss-Seidel method for the following systems by starting with ro (0,0,0)T and performing three iterations: (i)5r +2r2 +r3 = 0.12, 1.75r +7r2 + 0.5r3 0.1, r1 +0.2r2+ 4.5r3 0.5.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Study the convergence of the Jacobi and the Gauss-Seidel method for the following systems by
starting with aro (0,0,0)T and performing three iterations:
(i)5r1 + 2r2 + r3 0.12, 1.75r +7r2+0.5r3 0.1, rı +0.2r2+4.5r3 0.5.
(ii)r1-2r2 + 2r3 1, -rı+r2-r3 1, -2r1-2x2+ 3 1.
Transcribed Image Text:Study the convergence of the Jacobi and the Gauss-Seidel method for the following systems by starting with aro (0,0,0)T and performing three iterations: (i)5r1 + 2r2 + r3 0.12, 1.75r +7r2+0.5r3 0.1, rı +0.2r2+4.5r3 0.5. (ii)r1-2r2 + 2r3 1, -rı+r2-r3 1, -2r1-2x2+ 3 1.
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