A Some Results Retated To The Class Structure Of A Nonnegative Matrix

MUIR > Journal of Meiho University > n.13(1995/03) > Item 987654321/572

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Title:	A Some Results Retated To The Class Structure Of A Nonnegative Matrix
Authors:	Shiow-Fang Wu
Date:	1995-03
Issue Date:	2011-03-31T06:17:35Z (UTC)
Abstract:	We study the sets Ω1,Ω,Σ1andΣ which are associated with a linear mapping preserving a finute dimensional proper cone in wielandt’s approach to Perron-Frobenius theorem.The values of supΩ1,supΩ,infΣ1and inf Σare determined.In case of a nonnegative matrix these values are given in terms of the spectral redii of its classes.Some new results on nonnegative matrix or a singular M-matrix are found.Finally we investiage the question when the peripheral class structure and find some necessary conditions and a sufficient condition.
Appears in Collections:	[Journal of Meiho University] n.13(1995/03)

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