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An eigenvalue region for Leslie matrices. (English) Zbl 0749.15004

A brief description of the Leslie model is given and a sharp containment region for the non positive spectrum of a Leslie matrix is constructed, characterizing the region in terms of some simple equations [cf. P. H. Leslie, Biometrika 33, 183–212 (1945; Zbl 0060.31803)].
While it is well known that such matrices have exactly one positive eigenvalue, which dominates the others in modulus, little has been said about the nonpositive eigenvalues of a Leslie matrix and hence this paper is of importance to deal with the nonpositive spectrum.
Reviewer: S.Sridhar (Madras)

MSC:

15A18 Eigenvalues, singular values, and eigenvectors
15A42 Inequalities involving eigenvalues and eigenvectors

Citations:

Zbl 0060.31803
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