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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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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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