Single and double precision fortran codes have been run on a vax 8600, with a number of specific classes of matrices, an, having secular polynomials that include. That is, the original matrix is lower triangular or upper triangular where all its eigenvalues are sitting along the diagonal. Pdf on the eigenvalues of some tridiagonal matrices. On simple bounds for eigenvalues of symmetric tridiagonal. As a consequence, a result obtained by wen chyuan yueh and independently by s.
Browse other questions tagged matrices eigenvalues eigenvector circulant matrices tridiagonal matrices or ask your own question. We show that solving this problem is equivalent to solving the eigenvalue problem for tridiagonal matrices with 1 on the 2 on the diagonal except for the 1, 1entry. Pdf eigenvalues and eigenvectors of tridiagonal matrices. Eigenvalues of symmetric tridiagonal matrices mathoverflow.
Continued fraction calculation of the eigenvalues of tridiagonal matrices arising from the schroedinger equation. Upper bounds on the largest eigenvalue of jacobi matrices. For even n and m n2, we conclude that zero halves the spectrum, i. Kouachi, concerning the eigenvalues and in particular the corresponding eigenvectors of tridiagonal matrices, is. Eigenpairs of a particular tridiagonal matrix according to the initial section the problem of. In this section we are concernedonlywith the case wherea is a real, symmetric, tridiagonal matrix. Pdf continued fraction calculation of the eigenvalues of.
Eigenvalues of tridiagonal matrices 93 a tchebicheff polynomials of the first kind, b tchebicheff polynomials of the second kind, and c laguerre polynomials. Wenchyuan yueh received 4 september 2004 abstract tridiagonal matrices appear frequently in mathematical models. On the eigenvalues of some tridiagonal matrices article pdf available in journal of computational and applied mathematics 2001 march 2007 with 937 reads how we measure reads. Here we give a general procedure to locate the eigenvalues of the matrix tn from proposition 1.
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