Eigenvalue localization for complex matrices
DOI:
https://doi.org/10.22199/S07160917.1992.0001.00003Keywords:
eigenvaluesAbstract
In this paper, we prove that all the eigenvalues ?i of a complex matrix A of order n lie in a disk with center at trA/n and radius
This radius can be bounded without knowing the eigenvalues of A.
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References
[ 1] Eberlein, P.J.: On Measure of Non-normality for Matrices. American Mathematical Monthly, 72, pp 995-996, 1965.
[ 2] Rojo, O. and Soto, R .. New Conditions for the Additive Inverse Eigenvalue Problem for Matrices. Computers and Mathematics with Applications. To appear.
[ 3] Tarazaga, P.: Eigenvalue Estimate for Symmetric Matrices. Linear Algebra and Its Applications,135, pp 171-179, 1990.
[ 2] Rojo, O. and Soto, R .. New Conditions for the Additive Inverse Eigenvalue Problem for Matrices. Computers and Mathematics with Applications. To appear.
[ 3] Tarazaga, P.: Eigenvalue Estimate for Symmetric Matrices. Linear Algebra and Its Applications,135, pp 171-179, 1990.
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Published
2018-04-02
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How to Cite
[1]
“Eigenvalue localization for complex matrices”, Proyecciones (Antofagasta, On line), vol. 11, no. 1, pp. 11–19, Apr. 2018, doi: 10.22199/S07160917.1992.0001.00003.
