Bounds for absolute values and imaginary parts of matrix eigenvalues via traces

Authors

  • Michael Gil' Ben Gurion University of the Negev.

DOI:

https://doi.org/10.22199/issn.0717-6279-5349

Keywords:

matrices, localization of eigenvalues

Abstract

Let λ1(A), λ2(A), ..., λn(A) be the eigenvalues of an n × n-matrix A taken with their algebraic multiplicities. We suggest new bounds for |λj (A) − trace(A)/ n | and |Im λj (A) − Im trace(A)/n | (j = 1, ..., n), which refine the previously published results.

 

Author Biography

Michael Gil', Ben Gurion University of the Negev.

Department of Mathematics.

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Published

2022-09-27

How to Cite

[1]
M. Gil’, “Bounds for absolute values and imaginary parts of matrix eigenvalues via traces”, Proyecciones (Antofagasta, On line), vol. 41, no. 5, pp. 1229-1237, Sep. 2022.

Issue

Vol. 41 No. 5 (2022)

Section

Artículos

Copyright (c) 2022 Michael Gil'

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