- Tytuł:
- Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices
- Autorzy:
- Malejki, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/255505.pdf
- Data publikacji:
- 2010
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
symmetric unbounded Jacobi matrix
block Jacobi matrix
tridiagonal matrix
point spectrum
eigenvalue
asymptotics - Opis:
- 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 x pn, where N = max{k ∈ N : k ≤ rpn} and r ∈ (0, 1) is suitably chosen. We apply this result to obtain the asymptotics of the eigenvalues of J in the case p = 3.
- Źródło:
-
Opuscula Mathematica; 2010, 30, 3; 311-330
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł