Abstract
In the paper, asymptotics for eigenvalues of Hermitian, compact
operators, generated by infinite, banded matrices is obtained in
terms of the asymptotics of their matrix entries. Analogues for
banded matrices of Gershgorin's disks theory are discussed.
Key words: Banded matrices, eigenvalues, Gershgorin’s disks, spectral projection.
Full Text
Article Information
| Title | On eigenvalues of banded matrices |
| Source | Methods Funct. Anal. Topology, Vol. 25 (2019), no. 2, 98-103 |
| MathSciNet |
MR3978674 |
| Milestones | Received 28/01/2019; Revised 15/02/2019 |
| Copyright | The Author(s) 2019 (CC BY-SA) |
Authors Information
O. Akhiiezer
NTU “KhPI”, Department of computer science and data analysis, 2 Kirpichova str., Kharkiv 61002, Ukraine
O. Dunaievska
NTU “KhPI”, Department of computer science and data analysis, 2 Kirpichova str., Kharkiv 61002, Ukraine
Citation Example
O. Akhiiezer and O. Dunaievska, On eigenvalues of banded matrices, Methods Funct. Anal. Topology 25
(2019), no. 2, 98-103.
BibTex
@article {MFAT1165,
AUTHOR = {O. Akhiiezer and O. Dunaievska},
TITLE = {On eigenvalues of banded matrices},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {25},
YEAR = {2019},
NUMBER = {2},
PAGES = {98-103},
ISSN = {1029-3531},
MRNUMBER = {MR3978674},
URL = {http://mfat.imath.kiev.ua/article/?id=1165},
}
