A generalization of rotations and hyperbolic matrices and its applications.
A multiplication theorem for two-variable positive real matrices
A multiplication-division theorem is derived for the positive real functions of two complex variables. The theorem is generalized to encompass the product of positive real functions of two complex variables. The theorem is generalized to encompass the product of positive real matrices whose elements are functions of two complex variables. PRF and PR matrices occur frequantly in the study of electrical multiports and multivariable systems (such as digital filters).
A new family of companion forms of polynomial matrices.
A resultant approach to computing vector characteristics of multiparameter polynomial matrices.
A spectral theorem for matrices over fields of power series
An equivalent matrix pencilfor bivariate polynomial matrices
In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini's type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.
Application of matrix polynomials to investigation of singular equations.
Common multiples of operator polynomials with analytic coefficients.
Commutative/noncommutative rank of linear matrices and subspaces of matrices of low rank.
Computation of the Smallest Positive Eigenvalue of a Quadratic ..-matrix.
Decay bounds and algorithms for approximating functions of sparse matrices.
Differencial equations for the analytic singular value decomposition of a matrix.
Enumerating non-equivalent matrices over principal ideal domains
Estimates for absolute values of matrix functions.
Matrices of positive polynomials.
Methods for solving some parameter problems of algebra.
Modification of the - factorization method for multiparameter polynomial matrices and their properties.
Norm estimates for functions of two non-commuting matrices.
Normal matrix polynomials with nonsingular leading coefficients.
On Hermite-Hermite matrix polynomials
In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented. A new expansion of the matrix exponential for a wide class of matrices in terms of Hermite-Hermite matrix polynomials is proposed.