Q4) Consider the system of linear equations below. 4х — 8у+z %3D—-21 - 2x + y + 5z =15 4х — у +2%3D7 Rearrange it to get diagonally dominant system and apply Gauss- Seidel-Method for 5 iterations. Fill in the Tables below. (iteration no) x100% 1 3 4 (n+1) (iteration no) pla) x100% 1 3 4 Ea = (iteration no) z(m) z(n+1) -(n+1) _ (n) x100% (n+1) 1 3 4
Q4) Consider the system of linear equations below. 4х — 8у+z %3D—-21 - 2x + y + 5z =15 4х — у +2%3D7 Rearrange it to get diagonally dominant system and apply Gauss- Seidel-Method for 5 iterations. Fill in the Tables below. (iteration no) x100% 1 3 4 (n+1) (iteration no) pla) x100% 1 3 4 Ea = (iteration no) z(m) z(n+1) -(n+1) _ (n) x100% (n+1) 1 3 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Q4) Consider the system of linear equations below.
4x – 8y + z = -21
- 2x + y+5z = 15
4x – y + z = 7
Rearrange it to get diagonally dominant system and apply Gauss-
Seidel-Method for 5 iterations. Fill in the Tables below.
-x
x100%
(iteration no)
1
3
4
yla+1)
x100%
(iteration no)
1
2
3
4
Ea =
z(m)
z(n+1)
|zla+1) _ z(m)|
x100%
(iteration no)
(n+1)
1
3
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F808f9065-30b7-479f-996c-044b45dfbd96%2F118416b5-60cc-43f5-a1f4-77d00b81261a%2Fytzqo79_processed.png&w=3840&q=75)
Transcribed Image Text:Q4) Consider the system of linear equations below.
4x – 8y + z = -21
- 2x + y+5z = 15
4x – y + z = 7
Rearrange it to get diagonally dominant system and apply Gauss-
Seidel-Method for 5 iterations. Fill in the Tables below.
-x
x100%
(iteration no)
1
3
4
yla+1)
x100%
(iteration no)
1
2
3
4
Ea =
z(m)
z(n+1)
|zla+1) _ z(m)|
x100%
(iteration no)
(n+1)
1
3
4
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