Write a function in matlab that takes as input the number n

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Reference no: EM132199128

Question :

Write a function in Matlab that takes as input the number n, a sparse matrix given as r, c, v, m, an n-component column vector b, and a tolerance tol.

Directly use this coordinate list form to output the approximate solution of Jacobi method solving Ax = b using the zero vector for initial guess and iterated until the 2-norm (do not use Matlab's ‘norm' command) of the residual falls below tol (while loop); the number of iterations used; the number of flops used for calculating the approximation; and the 2-norm of the final residual vector.

(a) Write out or print out your function.

(b) Create the r, c, v, m for the 10×10 tridiagonal matrix with 2's down the main diagonal and -1's in the upper and lower diagonals. Take b the vector of 1's and tol = 10-4 and write down your results for the number of iterations, the 2-norm of the residual vector, and the number of flops used. What about for tol = 10-8.

Reference no: EM132199128

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