Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences
نویسندگان
چکیده
منابع مشابه
Joint Spectral Radius, Dilation Equations, and Asymptotic Behavior of Radix-Rational Sequences
Radix-rational sequences are solutions of systems of recurrence equations based on the radix representation of the index. For each radix-rational sequence with complex values we provide an asymptotic expansion, essentially in the scale N logN . The precision of the asymptotic expansion depends on the joint spectral radius of the linear representation of the sequence of first-order differences. ...
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The generating series of a radix-rational sequence is a rational formal power series from formal language theory viewed through a fixed radix numeration system. For each radix-rational sequence with complex values we provide an asymptotic expansion for the sequence of its Cesàro means. The precision of the asymptotic expansion depends on the joint spectral radius of the linear representation of...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2013
ISSN: 0024-3795
DOI: 10.1016/j.laa.2012.10.013