Brauer's Theorem

If, in the Gershgorin circle theorem for a given m,


for all j!=m, then exactly one eigenvalue of A lies in the disk Gamma_m.

See also

Gershgorin Circle Theorem

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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 Theorem

Cite this as:

Weisstein, Eric W. "Brauer's Theorem." From MathWorld--A Wolfram Web Resource.

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