Extremal eigenvalue intervals of symmetric tridiagonal interval matrices |
| |
| Authors: | Yuan Jian |
| |
| Affiliation: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan, P. R. China;2. Southwest Institute of Technical Physics, Chengdu, P. R. China |
| |
| Abstract: | Computing the extremal eigenvalue bounds of interval matrices is non‐deterministic polynomial‐time (NP)‐hard. We investigate bounds on real eigenvalues of real symmetric tridiagonal interval matrices and prove that for a given real symmetric tridiagonal interval matrices, we can achieve its exact range of the smallest and largest eigenvalues just by computing extremal eigenvalues of four symmetric tridiagonal matrices. |
| |
| Keywords: | eigenvalue interval extremal eigenvalues tridiagonal interval matrix |
|
|
