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
O. Dunaievska
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},
}
