Given the system of equations 4a + 2b + 11c + 3d = 10 6a + 3b + 2c + 15d = 20 10a + b + 2c + 5d = 30 12a + 17b + c + 3d = 40 C + Find the fourth iteration value of a using the Gauss-Seidel method with an initial guess of (1, 0, 1, 0). Round off the final answer to eight decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given the system of equations
4a + 2b + 11c + 3d = 10
6a + 3b + 2c + 15d = 20
10a + b + 2c + 5d = 30
12a + 17b + c + 3d = 40
C +
Find the fourth iteration value of a using the Gauss-Seidel method with an initial guess of (1, 0, 1, 0). Round off the final
answer to eight decimal places.
Transcribed Image Text:Given the system of equations 4a + 2b + 11c + 3d = 10 6a + 3b + 2c + 15d = 20 10a + b + 2c + 5d = 30 12a + 17b + c + 3d = 40 C + Find the fourth iteration value of a using the Gauss-Seidel method with an initial guess of (1, 0, 1, 0). Round off the final answer to eight decimal places.
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