Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614656 | Journal of Mathematical Analysis and Applications | 2016 | 21 Pages |
Abstract
We consider the class of non-Hermitian operators represented by infinite tridiagonal matrices, selfadjoint in an indefinite inner product space with one negative square. We approximate them with their finite truncations. Both infinite and truncated matrices have eigenvalues of nonpositive type: either a single one on the real axis or a couple of complex conjugate ones. As a tool to evaluate the reliability of the use of truncations in numerical simulations, we give bounds for the rate of convergence of their eigenvalues of nonpositive type. Numerical examples illustrate our results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Maxim Derevyagin, Luca Perotti, Michał Wojtylak,