Volume 5, Issue 2
An Estimate of the Difference Between a Diagonal Element and the Corresponding Eigenvalue of a Symmetric Tridiagonal Matrix

J. Comp. Math., 5 (1987), pp. 144-155

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• 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 QLand QR algorithms and Rayleigh quotient approximation. The change of eigenvalues is estimated when the first off-diagonal elemeng $\beta_1$ is replaced by zero and when two neighboring off-diagonal element s$\beta_{i-1},\beta_i$ are replaced by zero.

• History

Published online: 1987-05

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