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Let be a linear system of order , where is a tridiagonal symmetric matri...
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Let be a linear system of order , where is a tridiagonal symmetric matrix with all elements of the principal diagonal equal to and the elements on the two co-diagonals equal to . The elements of are linearly spaced numbers in . Compute the eigenvalues of and, exploiting their properties, find the solution of the linear system , by solving two triangular systems (use the most computationally efficient factorization of ). The 1-norm of the vector obtained by summing the solution of the two triangular systems is, approximately:
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