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On some properties of contracting matrices: For $n_1=n_2$ and if the norm is the $\|\cdots\|_\infty$ norm, then the contractive property (with $\leq$ instead of $<$) is satisfied if the matrix is a Markov matrix (nonnegative real matrix elements with each row summing to 1) and moreover for every pair of rows there exists a column with nonzero entries in ...

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