Inequalities for permanents involving Perron complements
نویسندگان
چکیده
منابع مشابه
A note on generalized Perron complements of Z-matrices
The concept of the Perron complement of a nonnegative and irreducible matrix was introduced by Meyer in 1989 and it was used to construct an algorithm for computing the stationary distribution vector for Markov chains. Here properties of the generalized Perron complement of an n×n irreducible Z-matrixK are considered. First the result that the generalized Perron complements of K are irreducible...
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The best known upper bound on the permanent of a 0-1 matrix relies on the knowledge of the number of nonzero entries per row. In certain applications only the total number of nonzero entries is known. In order to derive bounds in this situation we prove that the function f : (?1; 1) ! R, deened by f(x) := log ?(x+1) x , is concave, strictly increasing and satisses an analogue of the famous Bohr...
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متن کاملEla a Note on Generalized Perron Complements of Z-matrices∗
The concept of the Perron complement of a nonnegative and irreducible matrix was introduced by Meyer in 1989 and it was used to construct an algorithm for computing the stationary distribution vector for Markov chains. Here properties of the generalized Perron complement of an n×n irreducible Z-matrixK are considered. First the result that the generalized Perron complements of K are irreducible...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2004
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(03)00533-0