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Computers and Technology, 23.09.2020 17:01 2605098
Write a function defined as: def GaussJacobi(Aaug, x, niter = 15): Purpose: use the Gauss-Jacobi method to estimate the solution to a set of N linear equations expressed in matrix form as A x = b. Both A and b are contained in the function argument – Aaug – an augmented A-matrix Do NOT use pivoting to try to improve the solution. Simply use the values as given. Aaug: an augmented matrix containing [A | b ] having N rows and N+1 columns, where N is the number of equations in the set. x: a vector (array) contain the values of the initial guess niter: the number of iterations (new x solutions) to compute return value: the final new x vector.
Write and call a main() function that uses your GaussJacobi function to estimate and print the solution to the sets of linear equations contained in the following Augmented A-matrices:
ÐœyA [[4, -1, -1, 3], = using initial guesses of all zeros. Perform 22 iterations -2, -3, 1, 9], -1, 1, 7, -6]]
anotherA [[ 4, 3, 1, -1, 2], [ 2, -5, 0, -2, -3], using initial guesses of all zeros. Perform 3 iterations [-3, 3, -6, 1, 5], 0, 1, 4, 8, -2]]
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Write a function defined as: def GaussJacobi(Aaug, x, niter = 15): Purpose: use the Gauss-Jacobi met...
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