Primitivity of products of leslie matrices |
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Authors: | G C Taylor |
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Institution: | (1) E. S. Knight Co. Research Centre, E. S. Knight Co., Consulting Actuaries, 71 York Street, 2000 Sydney, N.S.W., Australia |
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Abstract: | An earlier paper by E. L. Keller, 1980,Bull. math. Biol.
42, 181–189, gave necessary and sufficient conditions for primitivity of a product of two Leslie matrices. This paper generalized
that result to an arbitrary number of Leslie matrices. The generalized result shows that Keller's is, from one viewpoint,
more conveniently stated in a slightly different form (our equation (6)). This restatement in turn simplifies the proof of
his special case of the general result. It also shows that the case of products of just pairs of matrices is a special one
in that the simple form of result obtained for that case doesnot retain its simplicity when generalized to higher order products. |
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Keywords: | |
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