Eigenvalue localization for complex matrices

• Autores: Óscar Luis Rojo Jeraldo, Ricardo L. Soto, Héctor Rojo J., Tin-Yau Tam
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 11, Nº. 1, 1992, págs. 11-19
• Idioma: inglés
• DOI: 10.22199/S07160917.1992.0001.00003
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• Resumen

  • In this paper, we prove that all the eigenvalues λi  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.

• Referencias bibliográficas
  • Citas [ 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....
  • [ 3] Tarazaga, P.: Eigenvalue Estimate for Symmetric Matrices. Linear Algebra and Its Applications,135, pp 171-179, 1990.