Let denote the class of square matrices containing in each row and in each column exactly 1’s. The minimal value of , for which the behavior of the permanent in is not quite studied, is . We give a simple algorithm for calculation of upper magnitudes of permanent in and consider some extremal problems in a generalized class , the matrices of which contain in each row and in each column nonzero elements , , and and zeros
AbstractAn upper bound for ‖A−1‖∞ and a lower bound for the smallest singular value, for the weakly ...
AbstractA recent conjecture of Caputo, Carlen, Lieb, and Loss, and, independently, of the author, st...
AbstractLet Pnk be the maximum value achieved by the permanent over Λnk, the set of (0,1)-matrices o...
AbstractIn this paper we investigate the values of permanents according to the positions of zeros ov...
AbstractWe determine the minimum number of 1s in an (irreducible) (0, 1) matrix of order n such that...
AbstractLet U(n, τ) be the set of all matrices of 0′s and 1′s of order n with exactly τ 0′s. We obta...
Given an n×n matrix A, define the n!×n! matrix Ã, with rows and columns indexed by the permutation g...
AbstractStarting from recent formulas for calculating the permanents of some sparse circulant matric...
AbstractA novel upper bound for the permanent of (0,1)-matrices is obtained in this paper, by using ...
AbstractGiven an n × n matrix A, define the n! × n! matrix Ã, with rows and columns indexed by the p...
In this paper the author proves some equalities about the permanent of matrices under some condition...
AbstractIn the first part of the paper we determine bounds for the ranks of certain submatrices of s...
AbstractWe obtain convenient expressions and/or efficient algorithms for the permanent of certain ve...
In this paper the problem of the computation of the joint spectral radius of a finite set of matrice...
AbstractIn this paper the problem of the computation of the joint spectral radius of a finite set of...
AbstractAn upper bound for ‖A−1‖∞ and a lower bound for the smallest singular value, for the weakly ...
AbstractA recent conjecture of Caputo, Carlen, Lieb, and Loss, and, independently, of the author, st...
AbstractLet Pnk be the maximum value achieved by the permanent over Λnk, the set of (0,1)-matrices o...
AbstractIn this paper we investigate the values of permanents according to the positions of zeros ov...
AbstractWe determine the minimum number of 1s in an (irreducible) (0, 1) matrix of order n such that...
AbstractLet U(n, τ) be the set of all matrices of 0′s and 1′s of order n with exactly τ 0′s. We obta...
Given an n×n matrix A, define the n!×n! matrix Ã, with rows and columns indexed by the permutation g...
AbstractStarting from recent formulas for calculating the permanents of some sparse circulant matric...
AbstractA novel upper bound for the permanent of (0,1)-matrices is obtained in this paper, by using ...
AbstractGiven an n × n matrix A, define the n! × n! matrix Ã, with rows and columns indexed by the p...
In this paper the author proves some equalities about the permanent of matrices under some condition...
AbstractIn the first part of the paper we determine bounds for the ranks of certain submatrices of s...
AbstractWe obtain convenient expressions and/or efficient algorithms for the permanent of certain ve...
In this paper the problem of the computation of the joint spectral radius of a finite set of matrice...
AbstractIn this paper the problem of the computation of the joint spectral radius of a finite set of...
AbstractAn upper bound for ‖A−1‖∞ and a lower bound for the smallest singular value, for the weakly ...
AbstractA recent conjecture of Caputo, Carlen, Lieb, and Loss, and, independently, of the author, st...
AbstractLet Pnk be the maximum value achieved by the permanent over Λnk, the set of (0,1)-matrices o...