On the spectra of a family of positive matrices |
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Authors: | M.J. Leitman |
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Affiliation: | Case Western Reserve University Cleveland, Ohio 44106 Canada |
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Abstract: | It is shown that every positive matrix A can be embedded in an analytic family of positive matrices {A(ν) : ν∈} in such a way that A(1)=A, is symmetric, and A(-1)=AT. A necessary and sufficient condition that A and Å have the same maximal eigenvalue and that their ergodic limits have the same diagonal elements is stated and proved. |
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