The asymptotic behavior of the singular values of matrix powers and applications

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Faculteit Wiskunde en Informatica, Vrije Universiteit, Amsterdam, Netherlands [1 ]
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Linear Algebra and Its Applications | 1996年 / 245卷
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The behavior of the singular values Sk(An), k = 1,2,...,r, of the nth power of an r × r matrix A is analyzed for n -> infinity . One of the main results gives for each k an explicit construction of a sequence of the form (a(k)nnl(k)) infinity n=1 which is equivalent to the sequence (Sk(An)) infinity n=1. Analogous results are derived for the continuous case, where An is replaced by exp(tA). Applications concern kinematic similarity of difference and differential equations with constant coefficients.
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页码：55 / 76
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