Research Article

On localization of the eigenvalues of matrices "close" to triangular ones

Volume: 51 Number: 4 August 1, 2022
EN

On localization of the eigenvalues of matrices "close" to triangular ones

Abstract

We suggest a new bound for the eigenvalues of a matrix. For matrices which are "close" to triangular ones that bound is sharper than the well-known results, such as the Ostrowski theorem.

Keywords

References

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  3. [3] S.A. Gershgorin. Uber die abgrenzung der eigenwerte einer matrix, Bull. Acad. des Sci. URSS 6, 749-754, 1931.
  4. [4] M.I. Gil, Perturbations of determinants of matrices, Linear Algebra and its Appl. 590, 235–242, 2020.
  5. [5] Ch.R. Johnson, J.M. Peña and T. Szulc, Optimal Gershgorin style estimation of the largest singular value, II, Electron. J. Linear Algebra, 31, 679-685, 2016.
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  7. [7] M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities, Allyn and Bacon, Boston 1964.
  8. [8] S. Milicević, V.R. Kostić, Lj. Cvetković and A. Miedlar, An implicit algorithm for computing the minimal Gershgorin set, Filomat, 33 (13), 4229-4238, 2019.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

August 1, 2022

Submission Date

September 15, 2021

Acceptance Date

January 26, 2022

Published in Issue

Year 2022 Volume: 51 Number: 4

APA
Gil’, M. (2022). On localization of the eigenvalues of matrices "close" to triangular ones. Hacettepe Journal of Mathematics and Statistics, 51(4), 1104-1107. https://doi.org/10.15672/hujms.995747
AMA
1.Gil’ M. On localization of the eigenvalues of matrices "close" to triangular ones. Hacettepe Journal of Mathematics and Statistics. 2022;51(4):1104-1107. doi:10.15672/hujms.995747
Chicago
Gil’, Michael. 2022. “On Localization of the Eigenvalues of Matrices ‘close’ to Triangular Ones”. Hacettepe Journal of Mathematics and Statistics 51 (4): 1104-7. https://doi.org/10.15672/hujms.995747.
EndNote
Gil’ M (August 1, 2022) On localization of the eigenvalues of matrices "close" to triangular ones. Hacettepe Journal of Mathematics and Statistics 51 4 1104–1107.
IEEE
[1]M. Gil’, “On localization of the eigenvalues of matrices ‘close’ to triangular ones”, Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 4, pp. 1104–1107, Aug. 2022, doi: 10.15672/hujms.995747.
ISNAD
Gil’, Michael. “On Localization of the Eigenvalues of Matrices ‘close’ to Triangular Ones”. Hacettepe Journal of Mathematics and Statistics 51/4 (August 1, 2022): 1104-1107. https://doi.org/10.15672/hujms.995747.
JAMA
1.Gil’ M. On localization of the eigenvalues of matrices "close" to triangular ones. Hacettepe Journal of Mathematics and Statistics. 2022;51:1104–1107.
MLA
Gil’, Michael. “On Localization of the Eigenvalues of Matrices ‘close’ to Triangular Ones”. Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 4, Aug. 2022, pp. 1104-7, doi:10.15672/hujms.995747.
Vancouver
1.Michael Gil’. On localization of the eigenvalues of matrices "close" to triangular ones. Hacettepe Journal of Mathematics and Statistics. 2022 Aug. 1;51(4):1104-7. doi:10.15672/hujms.995747