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.