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

Victor Kozyakin

Discrete Dynamics in Nature and Society, 2018, vol. 2018, 1-5

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:9216760

DOI: 10.1155/2018/9216760

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