compute th e first four iterates, using th e zero vector as th e initial approximation, to show that th e Gauss-Seidel method diverges. Then show that the equations can be rearranged to give a strictly diagonally dominant coefficient matrix, and apply the Gauss-Seidel a - 4b + 2c = 2 ,2a + 4c = 1 , 6a -b- 2c = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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compute th e first four iterates, using th e zero vector as th e initial approximation, to show that th e Gauss-Seidel method diverges. Then show that the equations can be rearranged to give a strictly diagonally dominant coefficient matrix, and apply the Gauss-Seidel a - 4b + 2c = 2 ,2a + 4c = 1 , 6a -b- 2c = 1

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