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- W2030348330 abstract "We consider the pattern of zero and nonzero elements in the sequence A k b , where A is an n × n nonnegative matrix and b is an n × 1 nonnegative column vector. We establish a tight bound of k < n for the first occurrence of a given monomial pattern, and we give a graph theoretic characterization of triples ( A, b, i ) such that there exists a k , k ⩾ n , for which A k b is an i -monomial. The appearance of monomial patterns with a single nonzero entry is linked to controllability of discrete n -dimensional linear dynamic systems with positivity constraints on the state and control." @default.
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- W2030348330 date "1987-09-01" @default.
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- W2030348330 title "Monomial patterns in the sequence Ab" @default.
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- W2030348330 doi "https://doi.org/10.1016/0024-3795(87)90080-2" @default.
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