TY - JOUR
TI - On Convergence of Infinite Matrix Products with Alternating Factors from Two Sets of Matrices
VL - 2018
PY - 2018
DA - 2018/04/22
DO - 10.1155/2018/9216760
UR - https://doi.org/10.1155/2018/9216760
AB - 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.
JF - Discrete Dynamics in Nature and Society
SN - 1026-0226
PB - Hindawi
SP - 9216760
KW -
A2 - Kulenovic, Mustafa R. S.
AU - Kozyakin, Victor
ER -