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One of the conditions in the Kreiss matrix theorem involves the resolvent of the matrices A under consideration. This so-called resolvent condition is known to imply, for all n ≥ 1, the upper bounds A n ≤ eK(N + 1) and A n ≤ eK(n + 1). Here · · is the spectral norm, K is the constant occurring in the resolvent condition, and the order of A is equal to N + 1… (More)

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