Question: Please solve using Wolfram Mathematica coding: Suppose A is a 50 x 50 tridiagonal matrix with entries a ii =0.5 on the diagonal, a i,i-1
Please solve using Wolfram Mathematica coding:
Suppose A is a 50 x 50 tridiagonal matrix with entries aii=0.5 on the diagonal, ai,i-1= ai,i+1=0.25 on the super diagonal and sub diagonal and zeros elsewhere. Take b to have ith entry equal to 1/i. Starting with x0=(1,1,.,1)
Write a program using the Gauss-Siedel method to the 50 x 50 tridiagonal matrix. Build a corresponding 100 x 100 tridiagonal matrix and apply Gauss-Seidel. How does the size change affect the relative normed error at 50, 500 and 5000 iterations? Use the solution from Gaussian elimination to calculate the relative normed error.
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