AbstractWe prove that the well-known Binet-Cauchy theorem for the permanent function characterizes the permanent. The corresponding result for the determinant was obtained by S. Kurepa in 1964
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
AbstractLet pk(A), k=2,…,n, denote the sum of the permanents of all k×k submatrices of the n×n matri...
AbstractThis is a survey of several topics in probability and statistics in which permanents seem to...
AbstractWe prove that the well-known Binet-Cauchy theorem for the permanent function characterizes t...
We prove that the well-known Binet-Cauchy theorem for the permanent function characterizes the perma...
We give a concise exposition of the elegant proof given recently by Leonid Gurvits for several lowe...
AbstractThe n×n permanent is not a projection of the m×m determinant if m ⩽ √2n− 6√n
AbstractIf A is a doubly stochastic matrix, it is shown that under certain conditions, there exist i...
AbstractA method is developed for expanding arbitrary powers of the characteristic polynomial of a m...
AbstractIt is shown in an elementary way that if A and B are positive semidefinite matrices, then pe...
AbstractLet A = (Ai1i2…id) be an n1 × n2 × · × nd matrix over a commutative ring. The permanent of A...
AbstractA formula for the sum of the coefficients of monomials of the form xl1j1⋯xlpjP is given, whe...
AbstractIn Valiant's theory of arithmetic complexity, the following question occupies a central posi...
Approximating permanents and hafnians, Discrete Analysis 2017:2, 34 pp. The _permanent_ per$(A)$ of...
AbstractThis paper contains a study of the smallest n-homogeneous, superadditive function from the n...
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
AbstractLet pk(A), k=2,…,n, denote the sum of the permanents of all k×k submatrices of the n×n matri...
AbstractThis is a survey of several topics in probability and statistics in which permanents seem to...
AbstractWe prove that the well-known Binet-Cauchy theorem for the permanent function characterizes t...
We prove that the well-known Binet-Cauchy theorem for the permanent function characterizes the perma...
We give a concise exposition of the elegant proof given recently by Leonid Gurvits for several lowe...
AbstractThe n×n permanent is not a projection of the m×m determinant if m ⩽ √2n− 6√n
AbstractIf A is a doubly stochastic matrix, it is shown that under certain conditions, there exist i...
AbstractA method is developed for expanding arbitrary powers of the characteristic polynomial of a m...
AbstractIt is shown in an elementary way that if A and B are positive semidefinite matrices, then pe...
AbstractLet A = (Ai1i2…id) be an n1 × n2 × · × nd matrix over a commutative ring. The permanent of A...
AbstractA formula for the sum of the coefficients of monomials of the form xl1j1⋯xlpjP is given, whe...
AbstractIn Valiant's theory of arithmetic complexity, the following question occupies a central posi...
Approximating permanents and hafnians, Discrete Analysis 2017:2, 34 pp. The _permanent_ per$(A)$ of...
AbstractThis paper contains a study of the smallest n-homogeneous, superadditive function from the n...
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
AbstractLet pk(A), k=2,…,n, denote the sum of the permanents of all k×k submatrices of the n×n matri...
AbstractThis is a survey of several topics in probability and statistics in which permanents seem to...