The use of special row and column operations in the reduction of a rational matrix to its Smith-MacMillan form at infinity is investigated. The connections between this reduction procedure and the valuation approach are established. A graphical method for finding the Smith-MacMillan form of a rational matrix at infinity from its Bode magnitude array, and some new results on realization theory for polynomial matrices are presented
AbstractRegular rational matrix functions are constructed in realized form with prescribed null and ...
AbstractWe consider a system of linear equations of the form A(x)X(x) = b(x), where A(x), b(x) are g...
AbstractFor any given complex n×n matrix A and any polynomial p with complex coefficients, methods t...
A novel method is presented to determine the SmithMacmillan form of a rationalm times nmatrixR(p)fro...
Abstract. The structure of a rational matrix is given by its Smith-McMillan invariants. Some propert...
The equivalence of systems plays a critical role in multidimensional systems, which are usually repr...
AbstractExplicit formulas are given for rational matrix functions which have a prescribed null-pole ...
The goal of this paper is to explain how to derive from the resolvent of a matrix the following clas...
AbstractWe discuss the relation between two intrinsically different proposals that have been made in...
summary:Numerical operations on and among rational matrices are traditionally handled by direct mani...
Abstract. Multipoint polynomial evaluation and interpolation are fun-damental for modern numerical a...
Starting with a matrix A with real entries,the characteristic matrix of A is A-xE,the matrix whose d...
AbstractBased on the approach introduced by B.D.O. Anderson and E.I. Jury in 1976, the definition of...
AbstractThe notion of infinite companion matrix is extended to the case of matrix polynomials (inclu...
4International audienceIn the context of multivariate signal processing, factorizations involving so...
AbstractRegular rational matrix functions are constructed in realized form with prescribed null and ...
AbstractWe consider a system of linear equations of the form A(x)X(x) = b(x), where A(x), b(x) are g...
AbstractFor any given complex n×n matrix A and any polynomial p with complex coefficients, methods t...
A novel method is presented to determine the SmithMacmillan form of a rationalm times nmatrixR(p)fro...
Abstract. The structure of a rational matrix is given by its Smith-McMillan invariants. Some propert...
The equivalence of systems plays a critical role in multidimensional systems, which are usually repr...
AbstractExplicit formulas are given for rational matrix functions which have a prescribed null-pole ...
The goal of this paper is to explain how to derive from the resolvent of a matrix the following clas...
AbstractWe discuss the relation between two intrinsically different proposals that have been made in...
summary:Numerical operations on and among rational matrices are traditionally handled by direct mani...
Abstract. Multipoint polynomial evaluation and interpolation are fun-damental for modern numerical a...
Starting with a matrix A with real entries,the characteristic matrix of A is A-xE,the matrix whose d...
AbstractBased on the approach introduced by B.D.O. Anderson and E.I. Jury in 1976, the definition of...
AbstractThe notion of infinite companion matrix is extended to the case of matrix polynomials (inclu...
4International audienceIn the context of multivariate signal processing, factorizations involving so...
AbstractRegular rational matrix functions are constructed in realized form with prescribed null and ...
AbstractWe consider a system of linear equations of the form A(x)X(x) = b(x), where A(x), b(x) are g...
AbstractFor any given complex n×n matrix A and any polynomial p with complex coefficients, methods t...