AbstractIn [2] some theorems on n × n circulant matrices were introduced under the hypothesis n a prime number. We extend these theorems to the case n =2⋅r where r is a prime greater then 2
Circulants form a well-studied and important class of matrices, and they arise in many algebraic and...
Starting from known results about the number of possible values for the permanents of $(0,1)$-circul...
AbstractStarting from known results about the number of possible values for the permanents of (0,1)-...
AbstractIn [5], a class Σ of p×p circulant matrices was studied where p is a prime, and necessary an...
AbstractA class Σ of matrices is studied which contains, as special subclasses, p-circulant matrices...
AbstractIn [5], a class Σ of p×p circulant matrices was studied where p is a prime, and necessary an...
AbstractAccording to Aitken, a “retrocirculant” is the product of a circulant and a certain permutat...
AbstractStarting from previous results concerning determinants and permanents of (0,1) circulant mat...
AbstractThe determinant of the circulant matrix whose first row is a0, a1,…, an−1 is a homogeneous p...
AbstractLet P be an n×n permutation matrix, and let p be the corresponding permutation. Let A be a m...
AbstractExplicit forms are given for all commutative sets of permutation matrices which sum to a pos...
AbstractIn this paper we investigate generalized circulant permutation matrices of composite order. ...
AbstractStarting from previous results concerning determinants and permanents of (0,1) circulant mat...
AbstractWe find the probability that the determinant of an integer circulant n×n matrix is divisible...
AbstractThis paper is about a connection between a general problem of partitions in Z/nZ and the exp...
Circulants form a well-studied and important class of matrices, and they arise in many algebraic and...
Starting from known results about the number of possible values for the permanents of $(0,1)$-circul...
AbstractStarting from known results about the number of possible values for the permanents of (0,1)-...
AbstractIn [5], a class Σ of p×p circulant matrices was studied where p is a prime, and necessary an...
AbstractA class Σ of matrices is studied which contains, as special subclasses, p-circulant matrices...
AbstractIn [5], a class Σ of p×p circulant matrices was studied where p is a prime, and necessary an...
AbstractAccording to Aitken, a “retrocirculant” is the product of a circulant and a certain permutat...
AbstractStarting from previous results concerning determinants and permanents of (0,1) circulant mat...
AbstractThe determinant of the circulant matrix whose first row is a0, a1,…, an−1 is a homogeneous p...
AbstractLet P be an n×n permutation matrix, and let p be the corresponding permutation. Let A be a m...
AbstractExplicit forms are given for all commutative sets of permutation matrices which sum to a pos...
AbstractIn this paper we investigate generalized circulant permutation matrices of composite order. ...
AbstractStarting from previous results concerning determinants and permanents of (0,1) circulant mat...
AbstractWe find the probability that the determinant of an integer circulant n×n matrix is divisible...
AbstractThis paper is about a connection between a general problem of partitions in Z/nZ and the exp...
Circulants form a well-studied and important class of matrices, and they arise in many algebraic and...
Starting from known results about the number of possible values for the permanents of $(0,1)$-circul...
AbstractStarting from known results about the number of possible values for the permanents of (0,1)-...