3. Given the linear system x, +8x, + 2x, = -3 - 2x, +x2 +5x3 =7 %3D 4x, +x2 - x3 = 1 Use the Gauss-Seidel iterative method with X")=0.1k to approximate the solution. Compute 3 iterations and calculate ɛa in each iteration using maximum magnitude norm (||X | -).
3. Given the linear system x, +8x, + 2x, = -3 - 2x, +x2 +5x3 =7 %3D 4x, +x2 - x3 = 1 Use the Gauss-Seidel iterative method with X")=0.1k to approximate the solution. Compute 3 iterations and calculate ɛa in each iteration using maximum magnitude norm (||X | -).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
take k as 1
(for example, a value is given as ?. ?? in the question would be
equal to ?. ? × ? = ?. ?)
![3.
Given the linear system
X, +8x, + 2x, =-3
- 2x, + x2 +5x3 =7
4x, +x, - x3 = 1
Use the Gauss-Seidel iterative method with X")=0.1k to approximate the solution. Compute
3 iterations and calculate ɛa in each iteration using maximum magnitude norm (||x||-).
Hint: First, check whether the method is guaranteed to converge or not. If necessary,
rearrange the order of equations to ensure convergence.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e2d18ae-1562-41ea-8f9f-851d1cd21999%2F1d638612-6fb5-45a2-8a54-c3773110b7fd%2Fbp9sqbu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.
Given the linear system
X, +8x, + 2x, =-3
- 2x, + x2 +5x3 =7
4x, +x, - x3 = 1
Use the Gauss-Seidel iterative method with X")=0.1k to approximate the solution. Compute
3 iterations and calculate ɛa in each iteration using maximum magnitude norm (||x||-).
Hint: First, check whether the method is guaranteed to converge or not. If necessary,
rearrange the order of equations to ensure convergence.
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