Frobenius Theorem

Let A=a_(ij) be a matrix with positive coefficients so that a_(ij)>0 for all i,j=1, 2, ..., n, then A has a positive eigenvalue lambda_0, and all its eigenvalues lie on the closed disk


See also

Closed Disk, Ostrowski's 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.

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Frobenius Theorem

Cite this as:

Weisstein, Eric W. "Frobenius Theorem." From MathWorld--A Wolfram Web Resource.

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