AbstractAccording to Aitken, a “retrocirculant” is the product of a circulant and a certain permutation matrix P. In [1], he determined the eigenvalues of the retrocirculants. In his proof, he used PΩ = ΩP where Ω is a certain unitary matrix. Here we present a necessary and sufficient condition for a permutation matrix to commute with Ω. We also determine the eigenvalues of many retrocirculants
AbstractLet P be an n×n permutation matrix, and let p be the corresponding permutation. Let A be a m...
In this paper we introduce two special classes of matrices U and V in C n\Thetan which are a gene...
In this paper we investigate generalized circulant permutation ma- trices of composite order. We giv...
AbstractAccording to Aitken, a “retrocirculant” is the product of a circulant and a certain permutat...
AbstractWe study the properties of matrices of the form P(σ)A where σ is induced by an automorphism ...
AbstractWe study the properties of matrices of the form P(σ)A where σ is induced by an automorphism ...
A new proof is given of Newman and Taussky's result: if A is a unimodular integral n x n matrix suc...
AbstractIf R is an n × n matrix over the complex field which is the product of a diagonal matrix D a...
Abstract. The eigenvectors and eigenvalues of symmetric block circulant ma-trices had been found, an...
AbstractThe spectral theory for circulants over R or C is discussed, followed by a discussion of inv...
AbstractIn [5], a class Σ of p×p circulant matrices was studied where p is a prime, and necessary an...
Abstract. The necessary condition for eigenvalue values of a circulant matrix is studied. It is then...
AbstractLet P be an n×n permutation matrix, and let p be the corresponding permutation. Let A be a m...
AbstractIn this note we show that the eigenvectors of circulant matrices of prime dimension can be e...
AbstractBy using the elementary properties of symmetric circulant matrices, we present another metho...
AbstractLet P be an n×n permutation matrix, and let p be the corresponding permutation. Let A be a m...
In this paper we introduce two special classes of matrices U and V in C n\Thetan which are a gene...
In this paper we investigate generalized circulant permutation ma- trices of composite order. We giv...
AbstractAccording to Aitken, a “retrocirculant” is the product of a circulant and a certain permutat...
AbstractWe study the properties of matrices of the form P(σ)A where σ is induced by an automorphism ...
AbstractWe study the properties of matrices of the form P(σ)A where σ is induced by an automorphism ...
A new proof is given of Newman and Taussky's result: if A is a unimodular integral n x n matrix suc...
AbstractIf R is an n × n matrix over the complex field which is the product of a diagonal matrix D a...
Abstract. The eigenvectors and eigenvalues of symmetric block circulant ma-trices had been found, an...
AbstractThe spectral theory for circulants over R or C is discussed, followed by a discussion of inv...
AbstractIn [5], a class Σ of p×p circulant matrices was studied where p is a prime, and necessary an...
Abstract. The necessary condition for eigenvalue values of a circulant matrix is studied. It is then...
AbstractLet P be an n×n permutation matrix, and let p be the corresponding permutation. Let A be a m...
AbstractIn this note we show that the eigenvectors of circulant matrices of prime dimension can be e...
AbstractBy using the elementary properties of symmetric circulant matrices, we present another metho...
AbstractLet P be an n×n permutation matrix, and let p be the corresponding permutation. Let A be a m...
In this paper we introduce two special classes of matrices U and V in C n\Thetan which are a gene...
In this paper we investigate generalized circulant permutation ma- trices of composite order. We giv...
DOI
Add to ORKG