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Let a linear system of order , where is a symmetric, tridiagonal matrix ...
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Let a linear system of order , where is a symmetric, tridiagonal matrix with all elements equal to on the main diagonal and to on the superior and inferior codiagonals. The elements of are linearly spaced numbers in . Compute the eigenvalues of and, based on their properties, solve the linear system by the solution of two triangular systems, using the most computationally efficient factorization of . The 1-norm of the vector obtained by summing the vector that is the solution of the inferior triangular system and the one that is the solution of the superior triangular system is, approximately,
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