Can you explain to me what happen if the matrix is not diagonal dominance ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Can you explain to me what happen if the matrix is not diagonal dominance ?

Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of
Ax is less than or equal to Tol = 1 × 10-4. Show the detailed calculation of each method.
1 1
5
x₁ +2*₂*
1
1
21 32
1
1
1
3³1+√³x₂ + 5*3=
+
==
-X3
·X3===
12
17
60
1
4
Transcribed Image Text:Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of Ax is less than or equal to Tol = 1 × 10-4. Show the detailed calculation of each method. 1 1 5 x₁ +2*₂* 1 1 21 32 1 1 1 3³1+√³x₂ + 5*3= + == -X3 ·X3=== 12 17 60 1 4
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