03: The Gauss-Seidel is considered to approximate the solution for the linear systemAx =b. Given0.5-0.250.5T0.125-0.250.5|0 -0.0625 0.125 -0.25exact solution is i =[l 1 -1 l], with initial guess ) = 0 , and the secondapproximations is r =[1.375 0.375 -0.46875 0.734375]. In l norm, find3. the relative error in approximating ž using .

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

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

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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03: The Gauss-Seidel is considered to approximate the solution for the linear system Ax =b. Given 0.5 -0.25 0.5 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 r = [1.375 0.375 -0.46875 0.734375]. In l norm, find 4. an error bound for approximating ï using .
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