On the Infinite Products of Matrices
نویسندگان
چکیده
In different fields in space researches, Scientists are in need to deal with the product of matrices. In this paper, we develop conditions under which a product of matrices chosen from a possibly infinite set of matrices 0 i i P , j M P j J k i P 0 k k i converges. There exists a vector norm such that all matrices in M are no expansive with respect to this norm and also a subsequence of the sequence of nonnegative integers such that the corresponding sequence of operators converges to an operator which is paracontracting with respect to this norm. The continuity of the limit of the product of matrices as a function of the sequences 0 k k i
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