Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773566 | Applied and Computational Harmonic Analysis | 2017 | 39 Pages |
Abstract
It turns out that, under certain conditions, frequently encountered in applications, small (e.g. 10â50) coordinates of eigenvectors of symmetric tridiagonal matrices can be evaluated with high relative accuracy. In this paper, we investigate such conditions, carry out the analysis, and describe the resulting numerical schemes. While our schemes can be viewed as a modification of already existing (and well known) numerical algorithms, the related error analysis appears to be new. Our results are illustrated via several numerical examples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Andrei Osipov,