AbstractIn this paper, we find an expression of the rook vector of a matrix A (not necessarily square) in terms of permanents of some matrices associated with A, and obtain some simple exact formulas for the permanents of all n×n Toeplitz band matrices of zeros and ones whose bands are of width not less than n−1
AbstractCharacterizations are obtained of those linear operators over certain semirings that preserv...
In this study, the recursive relations between the permanents of a certain type of the k-tridiagonal...
AbstractGiven a Toeplitz matrix T with banded inverse [i.e., (T−1)ij=0 for j−i>p], we show that the ...
AbstractIn this paper, we find an expression of the rook vector of a matrix A (not necessarily squar...
AbstractThe concept of rook polynomial of a “chessboard” may be generalized to the rook polynomial o...
AbstractCharacterizations are obtained of those linear operators on the m × n matrices over an arbit...
AbstractWe present a new efficient method for computing the permanent and Hafnian of certain banded ...
AbstractWe obtain convenient expressions and/or efficient algorithms for the permanent of certain ve...
AbstractA formula is given for the characteristic polynomial of an nth order Toeplitz band matrix, w...
In this paper the author proves some equalities about the permanent of matrices under some condition...
AbstractThe first section surveys recent results on the permanental polynomial of a square matrix A,...
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...
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
AbstractIt is shown that a square band matrix H=(hij) with hij=0 for j− i>r and i−j>s, where r+s is ...
AbstractIn this paper we investigate the values of permanents according to the positions of zeros ov...
AbstractCharacterizations are obtained of those linear operators over certain semirings that preserv...
In this study, the recursive relations between the permanents of a certain type of the k-tridiagonal...
AbstractGiven a Toeplitz matrix T with banded inverse [i.e., (T−1)ij=0 for j−i>p], we show that the ...
AbstractIn this paper, we find an expression of the rook vector of a matrix A (not necessarily squar...
AbstractThe concept of rook polynomial of a “chessboard” may be generalized to the rook polynomial o...
AbstractCharacterizations are obtained of those linear operators on the m × n matrices over an arbit...
AbstractWe present a new efficient method for computing the permanent and Hafnian of certain banded ...
AbstractWe obtain convenient expressions and/or efficient algorithms for the permanent of certain ve...
AbstractA formula is given for the characteristic polynomial of an nth order Toeplitz band matrix, w...
In this paper the author proves some equalities about the permanent of matrices under some condition...
AbstractThe first section surveys recent results on the permanental polynomial of a square matrix A,...
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...
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
AbstractIt is shown that a square band matrix H=(hij) with hij=0 for j− i>r and i−j>s, where r+s is ...
AbstractIn this paper we investigate the values of permanents according to the positions of zeros ov...
AbstractCharacterizations are obtained of those linear operators over certain semirings that preserv...
In this study, the recursive relations between the permanents of a certain type of the k-tridiagonal...
AbstractGiven a Toeplitz matrix T with banded inverse [i.e., (T−1)ij=0 for j−i>p], we show that the ...
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