AbstractIt is shown in an elementary way that if A and B are positive semidefinite matrices, then per(A + B) ⩾ per A + per B. The conditions under which equality may occur in this inequality are completely described, and some consequences are given
AbstractFor a complex number q, the q-permanent of an n × n complex matrix A = ((aij)), written perq...
AbstractFor given integers n1, n2 ≥ 1, we consider two hermitian matrices of order n = n1 + n2, writ...
AbstractLet A be a fully indecomposable, nonnegative matrix of order n with row sums rl,rn, and let ...
AbstractIt is shown in an elementary way that if A and B are positive semidefinite matrices, then pe...
AbstractLet UR(α, β) denote the class of all square matrices with each entry equal to one of the non...
AbstractThe inequality per(A∘B)⩽ perA perB is verified for nonnegative 2×2 and 3×3 Hermitian matrice...
AbstractIf A is a doubly stochastic matrix, it is shown that under certain conditions, there exist i...
AbstractLet A be an n-square (0, 1)-matrix, let ri denote the i-th row sum of A, i=1, …, n, and let ...
In this paper the author proves some equalities about the permanent of matrices under some condition...
In this paper the author proves some equalities about the permanent of matrices under some condition...
AbstractThe paper consists of two parts. In Part I necessary and sufficient conditions are given for...
AbstractFor p > 1 we present reasonable nonnegative functions f(t) on [0,∞) such that in the space o...
AbstractIn this paper we show that if A is an n×n (+1,−1)-matrix and if n = 2m−1 for some positive i...
AbstractWe prove that the well-known Binet-Cauchy theorem for the permanent function characterizes t...
AbstractThe positive semidefiniteness of a partitioned matrix is characterized in terms of its subma...
AbstractFor a complex number q, the q-permanent of an n × n complex matrix A = ((aij)), written perq...
AbstractFor given integers n1, n2 ≥ 1, we consider two hermitian matrices of order n = n1 + n2, writ...
AbstractLet A be a fully indecomposable, nonnegative matrix of order n with row sums rl,rn, and let ...
AbstractIt is shown in an elementary way that if A and B are positive semidefinite matrices, then pe...
AbstractLet UR(α, β) denote the class of all square matrices with each entry equal to one of the non...
AbstractThe inequality per(A∘B)⩽ perA perB is verified for nonnegative 2×2 and 3×3 Hermitian matrice...
AbstractIf A is a doubly stochastic matrix, it is shown that under certain conditions, there exist i...
AbstractLet A be an n-square (0, 1)-matrix, let ri denote the i-th row sum of A, i=1, …, n, and let ...
In this paper the author proves some equalities about the permanent of matrices under some condition...
In this paper the author proves some equalities about the permanent of matrices under some condition...
AbstractThe paper consists of two parts. In Part I necessary and sufficient conditions are given for...
AbstractFor p > 1 we present reasonable nonnegative functions f(t) on [0,∞) such that in the space o...
AbstractIn this paper we show that if A is an n×n (+1,−1)-matrix and if n = 2m−1 for some positive i...
AbstractWe prove that the well-known Binet-Cauchy theorem for the permanent function characterizes t...
AbstractThe positive semidefiniteness of a partitioned matrix is characterized in terms of its subma...
AbstractFor a complex number q, the q-permanent of an n × n complex matrix A = ((aij)), written perq...
AbstractFor given integers n1, n2 ≥ 1, we consider two hermitian matrices of order n = n1 + n2, writ...
AbstractLet A be a fully indecomposable, nonnegative matrix of order n with row sums rl,rn, and let ...
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