A family of tridiagonal pairs related to the quantum affine algebra .
A Note on Extreme Positive Definite Matrices.
A rational canonical form for matrix fields
A review of selected topics in majorization theory
In this expository paper, some recent developments in majorization theory are reviewed. Selected topics on group majorizations, group-induced cone orderings, Eaton triples, normal decomposition systems and similarly separable vectors are discussed. Special attention is devoted to majorization inequalities. A unified approach is presented for proving majorization relations for eigenvalues and singular values of matrices. Some methods based on the Chebyshev functional and similarly separable vectors...
Algebraic theory of fast mixed-radix transforms. I. Generalized Kronecker product of matrices
An inverse matrix of an upper triangular matrix can be lower triangular
In this note we explain why the group of n×n upper triangular matrices is defined usually over commutative ring while the full general linear group is defined over any associative ring.
Applications of max algebra to diagonal scaling of matrices.
Block matrix approximation via entropy loss function
The aim of the paper is to present a procedure for the approximation of a symmetric positive definite matrix by symmetric block partitioned matrices with structured off-diagonal blocks. The entropy loss function is chosen as approximation criterion. This procedure is applied in a simulation study of the statistical problem of covariance structure identification.
Cancellative relations and matrices
Commutative/noncommutative rank of linear matrices and subspaces of matrices of low rank.
Commuting triples of matrices.
Compactness conditions for semigroups of linear maps.
Completely simple semigroups of matrices.
Computational details-appendix to the article “Cartan matrices of selfinjective algebras of tubular type”
Constructing the maximal monoids in the semigroups , and
Correction to my paper: “On pairs of matrices with property ”
Covering in the set of principal ideals in the semigroup of binary relations.
Determinants of Legendre symbol matrices
Dissident maps on the seven-dimensional Euclidean space
Our article contributes to the classification of dissident maps on ℝ ⁷, which in turn contributes to the classification of 8-dimensional real division algebras. We study two large classes of dissident maps on ℝ ⁷. The first class is formed by all composed dissident maps, obtained from a vector product on ℝ ⁷ by composition with a definite endomorphism. The second class is formed by all doubled dissident maps, obtained as the purely imaginary parts of the structures of those 8-dimensional...
Distributions homogènes sur des espaces de matrices