On eigenvalues of banded matrices

Authors

  • 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

DOI:

Keywords:

Banded matrices, eigenvalues, Gershgorin’s disks, spectral projection

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.

Downloads

Published

2019-06-25

Issue

Vol. 25 No. 2 (2019)

Section

Articles

How to Cite

Akhiiezer, O., and O. Dunaievska. “On Eigenvalues of Banded Matrices”. Methods of Functional Analysis and Topology, vol. 25, no. 2, June 2019, pp. 98-103, https://zen.imath.kiev.ua/index.php/mfat/article/view/714.