Non-Sturmian sequences of matrices providing the maximum growth rate of matrix products
Victor Kozyakin
Abstract:One of the most pressing problems in modern analysis is the study of the growth rate of the norms of all possible matrix products Ai n • • • Ai 0 with factors from a set of matrices A . So far, only for a relatively small number of classes of matrices A has it been possible to rigorously describe the sequences of matrices {Ai n } that guarantee the maximal growth rate of the corresponding norms. Moreover, in almost all theoretically studied cases, the index sequences {in} of matrices maximizing the norms of th… Show more
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