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On an alternative to Gerschgorin circles and ovals of Cassini

Numerische Mathematik volume 95, pages 337–345 (2003)Cite this article

Summary.

An alternative to Gerschgorin circles for the localization of the real eigenvalues of a real matrix was studied in [8]. In this paper we present a similar alternative to the Brauer's theorem on ovals of Cassini.

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  1. Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009, Zaragoza, Spain

    J. M. Peña

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  1. J. M. Peña
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Correspondence to J. M. Peña.

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Mathematics Subject Classification (1991): 65F15, 15A18

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Peña, J. On an alternative to Gerschgorin circles and ovals of Cassini. Numer. Math. 95, 337–345 (2003). https://doi.org/10.1007/s00211-002-0427-8

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  • DOI: https://doi.org/10.1007/s00211-002-0427-8

Keywords

  • Real Eigenvalue
  • Real Matrix
  • Similar Alternative
  • Gerschgorin Circle