AbstractThe problem of the linear factorization of a polynomial matrix is related with a similarity condition linking the block companion matrix and a block upper bidiagonal matrix constructed from a chain of solvents. This result is the applied to the solution of differential and difference linear matrix equations
AbstractA polynomial approach is described to deal with problems of the following type. Given two co...
AbstractWe present formulas for computations involving companion matrix pencils as may arise in cons...
The problem of minimal factorization of rational bicausal matrices is considered, using polynomial m...
AbstractThe problem of the linear factorization of a polynomial matrix is related with a similarity ...
AbstractThe main concern of this paper is linear matrix equations with block-companion matrix coeffi...
AbstractThis note is concerned with the following problem: For a given matrix A∈Cn×n and a vector a∈...
AbstractThe notion of infinite companion matrix is extended to the case of matrix polynomials (inclu...
A new method for reducing a matrix to the block companion form of its matrix characteristic equation...
AbstractWe show that the usual companion matrix of a polynomial of degree n can be factored into a p...
AbstractThe Bézoutian B of two polynomial matrices can be described as a solution of a linear matrix...
AbstractAn LU-type factorization theorem due to Elsner and to Gohberg and Goldberg is generalized to...
AbstractA similarity condition is developed for the factorization of monic matrix polynomials L(λ) i...
AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algeb...
AbstractPresented in this paper are some new properties of a function f(C) of a companion matrix C, ...
AbstractA block companion matrix over a field of characteristic 0 is similar to a unique block unit ...
AbstractA polynomial approach is described to deal with problems of the following type. Given two co...
AbstractWe present formulas for computations involving companion matrix pencils as may arise in cons...
The problem of minimal factorization of rational bicausal matrices is considered, using polynomial m...
AbstractThe problem of the linear factorization of a polynomial matrix is related with a similarity ...
AbstractThe main concern of this paper is linear matrix equations with block-companion matrix coeffi...
AbstractThis note is concerned with the following problem: For a given matrix A∈Cn×n and a vector a∈...
AbstractThe notion of infinite companion matrix is extended to the case of matrix polynomials (inclu...
A new method for reducing a matrix to the block companion form of its matrix characteristic equation...
AbstractWe show that the usual companion matrix of a polynomial of degree n can be factored into a p...
AbstractThe Bézoutian B of two polynomial matrices can be described as a solution of a linear matrix...
AbstractAn LU-type factorization theorem due to Elsner and to Gohberg and Goldberg is generalized to...
AbstractA similarity condition is developed for the factorization of monic matrix polynomials L(λ) i...
AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algeb...
AbstractPresented in this paper are some new properties of a function f(C) of a companion matrix C, ...
AbstractA block companion matrix over a field of characteristic 0 is similar to a unique block unit ...
AbstractA polynomial approach is described to deal with problems of the following type. Given two co...
AbstractWe present formulas for computations involving companion matrix pencils as may arise in cons...
The problem of minimal factorization of rational bicausal matrices is considered, using polynomial m...
DOI
Add to ORKG