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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Some spectral properties of an operator associated with a pair of nonnegative matrices


Author: M. V. Menon
Journal: Trans. Amer. Math. Soc. 132 (1968), 369-375
MSC: Primary 15.60
MathSciNet review: 0225802
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Abstract: An operator--in general nonlinear--associated with a pair of non-negative matrices, is defined and some of its spectral properties studied. If the pair of matrices are a square matrix A and the identity matrix of the same order, the operator reduces to the linear operator A. The results obtained include generalizations of one of the principal conclusions of the theorem of Perron-Frobenius.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1968-0225802-2
PII: S 0002-9947(1968)0225802-2
Article copyright: © Copyright 1968 American Mathematical Society