 00346 Michael Blank
 Asymptotically exact spectral estimates for left triangular matrices
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Sep 8, 00

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Abstract. For a family of $n*n$ left triangular matrices with binary
entries we derive asymptotically exact (as $n\to\infty$)
representation for the complete eigenvalueseigenvectors problem.
In particular we show that the dependence of all eigenvalues on
$n$ is asymptotically linear for large $n$. A similar result is
obtained for more general (with specially scaled entries) left
triangular matrices as well. As an application we study ergodic
properties of a family of chaotic maps.
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