AbstractContainment regions for the zeros of a monic polynomial are given with the aid of results for containment regions for the numerical range of certain bordered diagonal matrices which are applied to different types of companion matrices of the polynomial
AbstractThe numerical range of an n×n matrix polynomial P(λ)=Amλm+⋯+A1λ+A0 is defined byW(P)=λ∈C:x*P...
In linear algebra, the eigenvalues of a matrix are equivalently defined as the zeros of its characte...
Abstract. In this paper, we put restrictions on the coefficients of polynomials and give bounds conc...
AbstractContainment regions for the zeros of a monic polynomial are given with the aid of results fo...
AbstractThe numerical range of an n×n matrix polynomial P(λ)=Amλm+⋯+A1λ+A0 is defined byW(P)=λ∈C:x*P...
Let p(t) be a monic polynomial. We obtain two bounds for zeros of p(t) via the Perron root and the n...
AbstractLet a monic polynomial Pn(x) ≔ xn − a1xn-1 − ··· −an, aj ∈ %plane1D;49E;j = 1, 2,…, n, be gi...
AbstractSome algebraic properties of the sharp points of the numerical range of matrix polynomials a...
In this paper, we introduce a new type of companion matrices, namely, D-companion matrices. By using...
We present an extension of the Perron-Frobenius theory to the numerical ranges of semi-monic Perron-...
AbstractIn this paper, we introduce a new type of companion matrices, namely, D-companion matrices. ...
AbstractA companion matrix is determined by the zeros of it’s characteristic polynomial. We determin...
AbstractLet Pn(x)=∑k=0nβkbk,n(x;α,β),βn≠0, where bk,n(x;α,β)≔(α+x)k(β-x)n-k,k=0,1,…,n,α,β∈C,α≠-β, a ...
The problem of obtaining the smallest possible region containing all the zeros of a polynomial has b...
In this paper, by using standard techniques we shall obtain results with relaxed hypothesis which g...
AbstractThe numerical range of an n×n matrix polynomial P(λ)=Amλm+⋯+A1λ+A0 is defined byW(P)=λ∈C:x*P...
In linear algebra, the eigenvalues of a matrix are equivalently defined as the zeros of its characte...
Abstract. In this paper, we put restrictions on the coefficients of polynomials and give bounds conc...
AbstractContainment regions for the zeros of a monic polynomial are given with the aid of results fo...
AbstractThe numerical range of an n×n matrix polynomial P(λ)=Amλm+⋯+A1λ+A0 is defined byW(P)=λ∈C:x*P...
Let p(t) be a monic polynomial. We obtain two bounds for zeros of p(t) via the Perron root and the n...
AbstractLet a monic polynomial Pn(x) ≔ xn − a1xn-1 − ··· −an, aj ∈ %plane1D;49E;j = 1, 2,…, n, be gi...
AbstractSome algebraic properties of the sharp points of the numerical range of matrix polynomials a...
In this paper, we introduce a new type of companion matrices, namely, D-companion matrices. By using...
We present an extension of the Perron-Frobenius theory to the numerical ranges of semi-monic Perron-...
AbstractIn this paper, we introduce a new type of companion matrices, namely, D-companion matrices. ...
AbstractA companion matrix is determined by the zeros of it’s characteristic polynomial. We determin...
AbstractLet Pn(x)=∑k=0nβkbk,n(x;α,β),βn≠0, where bk,n(x;α,β)≔(α+x)k(β-x)n-k,k=0,1,…,n,α,β∈C,α≠-β, a ...
The problem of obtaining the smallest possible region containing all the zeros of a polynomial has b...
In this paper, by using standard techniques we shall obtain results with relaxed hypothesis which g...
AbstractThe numerical range of an n×n matrix polynomial P(λ)=Amλm+⋯+A1λ+A0 is defined byW(P)=λ∈C:x*P...
In linear algebra, the eigenvalues of a matrix are equivalently defined as the zeros of its characte...
Abstract. In this paper, we put restrictions on the coefficients of polynomials and give bounds conc...
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