Use the Gauss seidel method to solve the linear system. Use the initial approximation x° = [0 0 0]* , to compute an approximate solution accurate to within 10-3. Also, compute error using the l, Norm ( ||x*+1 – x* ||.). 4x1 + X2 – X3 = 5 -X1 + 3x2 + x3 = -4 2x1 + 2x2 + 5xX3 = 1
Use the Gauss seidel method to solve the linear system. Use the initial approximation x° = [0 0 0]* , to compute an approximate solution accurate to within 10-3. Also, compute error using the l, Norm ( ||x*+1 – x* ||.). 4x1 + X2 – X3 = 5 -X1 + 3x2 + x3 = -4 2x1 + 2x2 + 5xX3 = 1
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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![Use the Gauss seidel method to solve the linear system. Use the initial approximation x°
[00 0]* , to compute an approximate solution accurate to within 10-3. Also, compute error
using the l, Norm ( ||xk+1 – x*|l.).
4x1 + x2 – X3 = 5
-X1 + 3x2 + x3 = -4
2x1 + 2x2 + 5x3 = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff987a071-b4c9-4589-a026-5dd2594931c0%2Fe0cac251-d9ea-43d1-a605-4a31342c4efc%2Fgtwd7ap_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the Gauss seidel method to solve the linear system. Use the initial approximation x°
[00 0]* , to compute an approximate solution accurate to within 10-3. Also, compute error
using the l, Norm ( ||xk+1 – x*|l.).
4x1 + x2 – X3 = 5
-X1 + 3x2 + x3 = -4
2x1 + 2x2 + 5x3 = 1
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