An explicit Lipschitz constant for the joint spectral radius

@article{Kozyakin2010AnEL,
  title={An explicit Lipschitz constant for the joint spectral radius},
  author={Victor S. Kozyakin},
  journal={Linear Algebra and its Applications},
  year={2010},
  volume={433},
  pages={12-18}
}
  • V. Kozyakin
  • Published 17 September 2009
  • Mathematics
  • Linear Algebra and its Applications
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20 Citations
Highly Influential Citations
1
Background Citations
12
Methods Citations
2

20 Citations

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The joint spectrum
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The joint spectral radius of a compact set of d×d matrices is defined to be the maximum possible exponential growth rate of products of matrices drawn from that set. In this article, we investigate…
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The lower spectral radius, or joint spectral subradius, of a set of real d×d matrices is defined to be the smallest possible exponential growth rate of long products of matrices drawn from that set.…
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Last two decades have been characterized by an increasing interest in theanalysis of the maximal growth rate of long products generated by matricesbelonging to a speci c set/family. The maximal…
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References

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The problem of computation of the joint (generalized) spectral radius of matrix sets has been discussed in a number of publications. In this paper, an iteration procedure is considered that allows to…
The generalized spectral radius and extremal norms
On explicit a priori estimates of the joint spectral radius by the generalized Gelfand formula
In various problems of control theory, non-autonomous and multivalued dynamical systems, wavelet theory and other fields of mathematics information about the rate of growth of matrix products with…
Approximation of the joint spectral radius using sum of squares
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