AbstractThe notions of irreducibility, primitivity, and exponent of a nonegative matrix are generalized to k-tuples of non-negative matrices of the same order. It is shown that for each positive integer k, the maximum exponent of a primitive k-tuple of n by n nonnegative matrices is Θ(nk+1)
AbstractLet b=b(A) be the Boolean rank of an n×n primitive Boolean matrix A and exp(A) be the expone...
AbstractA matrix A is called an oscillatory matrix if it is totally nonnegative and there exists a p...
AbstractM. Lewin and Y. Vitek conjecture [7] that every integer ⩽[(n>2−2n+2)2]+1 is an exponent of s...
AbstractThe notions of primitivity and exponent of a square nonnegative matrix A are classical: A is...
AbstractAn n × n nonnegative matrix A is called primitive if for some positive integer k, every entr...
AbstractWe characterize those doubly stochastic, primitive matrices for which the bounds for the exp...
AbstractAn n × n nonnegative matrix A is called primitive if for some positive integer k, every entr...
AbstractSuppose A is an n × n nonnegative primitive matrix whose minimal polynomial has degree m. We...
AbstractA nonnegative matrix M with zero trace is primitive if for some positive integer k, Mk is po...
A set of nonnegative matrices M = {M1, M2, . . . , Mk} is called primitive if there exist indices i1...
AbstractLet A be a primitive matrix of order n, and let k be an integer with 1⩽k⩽n. The kth local ex...
AbstractIn [X. Zhan, Extremal numbers of positive entries of imprimitive nonnegative matrices, Linea...
We define and study (nonnegative) primitive tensors. Many important characterizations of primitive m...
AbstractWe characterize the equality case of the upper bound γ(D) ⪕ n + s(n − 2) for the exponent of...
AbstractWe present a bound on the exponent exp(A) of an n × n primitive matrix A in terms of its boo...
AbstractLet b=b(A) be the Boolean rank of an n×n primitive Boolean matrix A and exp(A) be the expone...
AbstractA matrix A is called an oscillatory matrix if it is totally nonnegative and there exists a p...
AbstractM. Lewin and Y. Vitek conjecture [7] that every integer ⩽[(n>2−2n+2)2]+1 is an exponent of s...
AbstractThe notions of primitivity and exponent of a square nonnegative matrix A are classical: A is...
AbstractAn n × n nonnegative matrix A is called primitive if for some positive integer k, every entr...
AbstractWe characterize those doubly stochastic, primitive matrices for which the bounds for the exp...
AbstractAn n × n nonnegative matrix A is called primitive if for some positive integer k, every entr...
AbstractSuppose A is an n × n nonnegative primitive matrix whose minimal polynomial has degree m. We...
AbstractA nonnegative matrix M with zero trace is primitive if for some positive integer k, Mk is po...
A set of nonnegative matrices M = {M1, M2, . . . , Mk} is called primitive if there exist indices i1...
AbstractLet A be a primitive matrix of order n, and let k be an integer with 1⩽k⩽n. The kth local ex...
AbstractIn [X. Zhan, Extremal numbers of positive entries of imprimitive nonnegative matrices, Linea...
We define and study (nonnegative) primitive tensors. Many important characterizations of primitive m...
AbstractWe characterize the equality case of the upper bound γ(D) ⪕ n + s(n − 2) for the exponent of...
AbstractWe present a bound on the exponent exp(A) of an n × n primitive matrix A in terms of its boo...
AbstractLet b=b(A) be the Boolean rank of an n×n primitive Boolean matrix A and exp(A) be the expone...
AbstractA matrix A is called an oscillatory matrix if it is totally nonnegative and there exists a p...
AbstractM. Lewin and Y. Vitek conjecture [7] that every integer ⩽[(n>2−2n+2)2]+1 is an exponent of s...
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