Star-height of an N-rational series

  • Frédérique Bassino
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1046)


We prove a new result on N-rational series in one variable. This result gives, under an appropriate hypothesis, a necessary and sufficient condition for an N-rational series to be of star-height 1. The proof uses a theorem of Handelman on integral companion matrices.


Spectral Radius Rational Series Formal Power Series Companion Matrix Minimal Polynomial 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Frédérique Bassino
    • 1
  1. 1.I.G.M., Université de Marne-la-ValléeNoisy le Grand Cedex

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