AbstractWe study the properties of matrices of the form P(σ)A where σ is induced by an automorphism of an abelian group G and A is a group matrix. P(σ)A is a generalization of a retrocirculant. We also determine the eigenvalues of P(σ)A
AbstractLet P be an n×n permutation matrix, and let p be the corresponding permutation. Let A be a m...
AbstractThe spectral theory for circulants over R or C is discussed, followed by a discussion of inv...
We present here necessary and sufficient conditions for the invertibility of some circulant matrice...
AbstractWe study the properties of matrices of the form P(σ)A where σ is induced by an automorphism ...
AbstractAccording to Aitken, a “retrocirculant” is the product of a circulant and a certain permutat...
AbstractAccording to Aitken, a “retrocirculant” is the product of a circulant and a certain permutat...
AbstractThe generalized q-circulant is defined, which is a generalization of circulants. The set of ...
In this paper, we study a particular class of block matrices placing an emphasis on their spectral p...
AbstractDe Launey has conjectured and proved that for every prime p there exists a circulant general...
AbstractIn a previous article it was shown that the semisimple algebra of class functions of a finit...
An isomorphism between the group ring of a finite group and a ring of certain block diagonal matrice...
AbstractIn [5], a class Σ of p×p circulant matrices was studied where p is a prime, and necessary an...
AbstractThe regular representation of the ring of class functions of a finite group is used to const...
AbstractExplicit forms are given for all commutative sets of permutation matrices which sum to a pos...
A new proof is given of Newman and Taussky's result: if A is a unimodular integral n x n matrix suc...
AbstractLet P be an n×n permutation matrix, and let p be the corresponding permutation. Let A be a m...
AbstractThe spectral theory for circulants over R or C is discussed, followed by a discussion of inv...
We present here necessary and sufficient conditions for the invertibility of some circulant matrice...
AbstractWe study the properties of matrices of the form P(σ)A where σ is induced by an automorphism ...
AbstractAccording to Aitken, a “retrocirculant” is the product of a circulant and a certain permutat...
AbstractAccording to Aitken, a “retrocirculant” is the product of a circulant and a certain permutat...
AbstractThe generalized q-circulant is defined, which is a generalization of circulants. The set of ...
In this paper, we study a particular class of block matrices placing an emphasis on their spectral p...
AbstractDe Launey has conjectured and proved that for every prime p there exists a circulant general...
AbstractIn a previous article it was shown that the semisimple algebra of class functions of a finit...
An isomorphism between the group ring of a finite group and a ring of certain block diagonal matrice...
AbstractIn [5], a class Σ of p×p circulant matrices was studied where p is a prime, and necessary an...
AbstractThe regular representation of the ring of class functions of a finite group is used to const...
AbstractExplicit forms are given for all commutative sets of permutation matrices which sum to a pos...
A new proof is given of Newman and Taussky's result: if A is a unimodular integral n x n matrix suc...
AbstractLet P be an n×n permutation matrix, and let p be the corresponding permutation. Let A be a m...
AbstractThe spectral theory for circulants over R or C is discussed, followed by a discussion of inv...
We present here necessary and sufficient conditions for the invertibility of some circulant matrice...
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