TY  - JOUR
ID  - Harrat2020
LB  - Harrat2020
AU  - Harrat, Ayoub
AU  - Zerouali, El Hassan
AU  - Zielinski, Lech
TI  - Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices
ST  - Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2020
VL  - 40
IS  - 2
SP  - 241
EP  - 270
DO  - https://doi.org/10.7494/OpMath.2020.40.2.241
UR  - https://doi.org/10.7494/OpMath.2020.40.2.241
AB  - We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.
KW  - tridiagonal matrix
KW  - band matrix
KW  - unbounded self-adjoint operator
KW  - discrete spectrum
KW  - large eigenvalues
KW  - asymptotics
SN  - 1232-9274
ER  -