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Details for article 1 of 12 found articles
| Title: |
Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices |
| Author: |
Maria Malejki |
| Appeared in: |
Opuscula mathematica |
| Paging: | Volume 30 (2010) nr. 3 pages 311-330 |
| Year: |
2010 |
| Contents: |
The research included in the paper concerns a class of symmetric block Jacobi matrices. The problem of the approximation of eigenvalues for a class of a self-adjoint unbounded operators is considered. We estimate the joint error of approximation for the eigenvalues, numbered from 1 to $N$, for a Jacobi matrix $J$ by the eigenvalues of the finite submatrix $J_n$ of order $pn \times pn$, where $N = \max \{k \in N : k \leq rpn\}$ and $r \in (0,1)$ is suitably chosen. We apply this result to obtain the asymptotics of the eigenvalues of $J$ in the case $p=3$. |
| Publisher: |
AGH University of Science and Technology (provided by DOAJ) |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 1 of 12 found articles
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