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A Spectral Theoretic Proof of Perron-Frobenius
M. R. F. Smyth
Mathematical Proceedings of the Royal Irish Academy
Vol. 102A, No. 1 (Aug., 2002), pp. 29-35
Published by: Royal Irish Academy
Stable URL: http://www.jstor.org/stable/20459819
Page Count: 7
You can always find the topics here!Topics: Spectral theory, Eigenvalues, Matrices, Children, Spectral index, Projective geometry, Equation roots, Mathematical theorems, Method of characteristics, Integers
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An elementary proof of the famous Perron-Frobenius Theorem for non-negative matrices is given via classical spectral theory. The key to the proof lies in the inherited characteristics of certain spectral projections.
Mathematical Proceedings of the Royal Irish Academy © 2002 Royal Irish Academy