If, in the Gershgorin circle theorem for a given 
,
 |
for all 
,
then exactly one eigenvalue
of 
lies in the disk 
.
Brauer's Theorem
See also
Gershgorin Circle TheoremExplore with Wolfram|Alpha
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 1121, 2000.Referenced on Wolfram|Alpha
Brauer's TheoremCite this as:
Weisstein, Eric W. "Brauer's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BrauersTheorem.html