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On Convergence of Infinite Matrix Products with Alternating Factors from Two Sets of Matrices

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  • Victor Kozyakin

Abstract

We consider the problem of convergence to zero of matrix products with factors from two sets of matrices, and , due to a suitable choice of matrices . It is assumed that for any sequence of matrices there is a sequence of matrices such that the corresponding matrix products converge to zero. We show that, in this case, the convergence of the matrix products under consideration is uniformly exponential; that is, , where the constants and do not depend on the sequence and the corresponding sequence . Other problems of this kind are discussed and open questions are formulated.

Suggested Citation

  • Victor Kozyakin, 2018. "On Convergence of Infinite Matrix Products with Alternating Factors from Two Sets of Matrices," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-5, April.
  • Handle: RePEc:hin:jnddns:9216760
    DOI: 10.1155/2018/9216760
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