Q3: The Gauss-Seidel is considered to approximate the solution for the linear systemAx =b. Given0.5-0.250.5T0.125-0.250.50 -0.0625 0.125 -0.25exact solution is i=[1 1 -1 1] , with initial guess i = 0, and the secondapproximations is i = [1.375 0.375 -0.46875 0.734375]. In l, norm, find1. the number of iterations necessary to achieve accuracy 10*.

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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 %3D 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 1, norm, find 1. the number of iterations necessary to achieve accuracy 10.

Q3: The Gauss-Seidel is considered to approximate the solution for the linear system Ax =b. Given 0.5 -0.25 0.5 T %3D 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 1, norm, find 1. the number of iterations necessary to achieve accuracy 10.

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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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 .