An Estimate of the Difference Between a Diagonal Element and the Corresponding Eigenvalue of a Symmetric Tridiagonal Matrix
Year: 1987
Journal of Computational Mathematics, Vol. 5 (1987), Iss. 2 : pp. 144–155
Abstract
A sharper upperbound of the difference between a diagonal element and the corresponding eigenvalue of a symmetric tridiagonal matrix is given. The bound can be used in QL and QR algorithms and Rayleigh quotient approximation. The change of eigenvalues is estimated when the first off-diagonal element $\beta_1$ is replaced by zero and when two neighboring off-diagonal elements $ \beta_{i-1},\beta_i$ are replaced by zero.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1987-JCM-9539
Journal of Computational Mathematics, Vol. 5 (1987), Iss. 2 : pp. 144–155
Published online: 1987-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12