03: The Gauss-Seidel is considered to approximate the solution for the linear system A =b. Given 0.5 0 -0.25 0.5 T = 0.125 -0.25 0.5 0 -0.0625 0.125 -0.25 exact solution is i=[1 1 -1 1, with initial guess =0, and the second approximations is ) = [1.375 0.375 -0.46875 0.734375]. In I, norm, find 3. the relative error in approximating x using ".

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 6T
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Q3: The Gauss-Seidel is considered to approximate the solution for the linear system
Ax =b. Given
0.5
-0.25
0.5
T =
0.125
-0.25
0.5
0 -0.0625 0.125 -0.25
exact solution is i=[1 1 -1 l], with initial guess =0 , and the second
approximations is ) =[1.375 0.375 -0.46875 0.734375]. In l_ norm, find
3. the relative error in approximating i using .
Transcribed Image Text:Q3: The Gauss-Seidel is considered to approximate the solution for the linear system Ax =b. Given 0.5 -0.25 0.5 T = 0.125 -0.25 0.5 0 -0.0625 0.125 -0.25 exact solution is i=[1 1 -1 l], with initial guess =0 , and the second approximations is ) =[1.375 0.375 -0.46875 0.734375]. In l_ norm, find 3. the relative error in approximating i using .
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