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Parodi's Theorem

The eigenvalues lambda satisfying P(lambda)=0, where P(lambda) is the characteristic polynomial, lie in the unions of the disks

|z|<=1
|z+b_1|<=sum_(j=1)^n|b_j|.

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References

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 1119, 2000.

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Parodi's Theorem

Cite this as:

Weisstein, Eric W. "Parodi's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ParodisTheorem.html

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