AbstractA systematic account is given of the properties and applications of the notion of infinite companion matrix of a polynomial p. It turns out to be a particular case of a companion matrix corresponding to a pair of polynomials p, w of degree n, if w is taken to be zn. Connections with Bézoutians, projection operators, reproducing kernels, and dilation theory are explained
In this paper, we introduce a new type of companion matrices, namely, D-companion matrices. By using...
AbstractGiven a set of orthogonal polynomials {Pi(x)}, it is shown that associated with a polynomial...
AbstractUsing combinatorial methods, we obtain the explicit polynomials for all elements in an arbit...
AbstractA systematic account is given of the properties and applications of the notion of infinite c...
AbstractThe notion of infinite companion matrix is extended to the case of matrix polynomials (inclu...
AbstractFormulae are given expressing the infinite companion matrix of a polynomial p as the sum of ...
AbstractWith each polynomial p of degree n whose roots lie inside the unit disc we may associate the...
AbstractA nonsymmetric analogue of a Gram matrix is used to represent the infinite companion matrix ...
AbstractThis note is concerned with the following problem: For a given matrix A∈Cn×n and a vector a∈...
AbstractA formula of Barnett type relating the Bezoutian B(f,g) to the Hankel matrix H(g/f) is exten...
AbstractFor a given polynomial in the usual power form, its associated companion matrix can be appli...
AbstractPresented in this paper are some new properties of a function f(C) of a companion matrix C, ...
AbstractIn this paper, we introduce a new type of companion matrices, namely, D-companion matrices. ...
In this thesis, we look at a novel way of finding roots of a scalar polynomial using eigenvalue tech...
AbstractFor a polynomial f(z) = a0 + a1z + ⋯ + an-1zn-1 + zn, a0,…,an-1 ϵ C, with (complex) unimodul...
In this paper, we introduce a new type of companion matrices, namely, D-companion matrices. By using...
AbstractGiven a set of orthogonal polynomials {Pi(x)}, it is shown that associated with a polynomial...
AbstractUsing combinatorial methods, we obtain the explicit polynomials for all elements in an arbit...
AbstractA systematic account is given of the properties and applications of the notion of infinite c...
AbstractThe notion of infinite companion matrix is extended to the case of matrix polynomials (inclu...
AbstractFormulae are given expressing the infinite companion matrix of a polynomial p as the sum of ...
AbstractWith each polynomial p of degree n whose roots lie inside the unit disc we may associate the...
AbstractA nonsymmetric analogue of a Gram matrix is used to represent the infinite companion matrix ...
AbstractThis note is concerned with the following problem: For a given matrix A∈Cn×n and a vector a∈...
AbstractA formula of Barnett type relating the Bezoutian B(f,g) to the Hankel matrix H(g/f) is exten...
AbstractFor a given polynomial in the usual power form, its associated companion matrix can be appli...
AbstractPresented in this paper are some new properties of a function f(C) of a companion matrix C, ...
AbstractIn this paper, we introduce a new type of companion matrices, namely, D-companion matrices. ...
In this thesis, we look at a novel way of finding roots of a scalar polynomial using eigenvalue tech...
AbstractFor a polynomial f(z) = a0 + a1z + ⋯ + an-1zn-1 + zn, a0,…,an-1 ϵ C, with (complex) unimodul...
In this paper, we introduce a new type of companion matrices, namely, D-companion matrices. By using...
AbstractGiven a set of orthogonal polynomials {Pi(x)}, it is shown that associated with a polynomial...
AbstractUsing combinatorial methods, we obtain the explicit polynomials for all elements in an arbit...
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