Gives a region in the Complex Plane containing all the Eigenvalues of a Complex Square Matrix. Let

(1) |

(2) |

(3) |

(4) |

(5) |

**References**

Brualdi, R. A. and Mellendorf, S. ``Regions in the Complex Plane Containing the Eigenvalues of a Matrix.''
*Amer. Math. Monthly* **101**, 975-985, 1994.

Gradshteyn, I. S. and Ryzhik, I. M. *Tables of Integrals, Series, and Products, 5th ed.* San Diego, CA:
Academic Press, pp. 1120-1121, 1979.

Taussky-Todd, O. ``A Recurring Theorem on Determinants.'' *Amer. Math. Monthly* **56**, 672-676, 1949.

© 1996-9

1999-05-25