AbstractWe apply several matrix inequalities to the derivative companion matrices of complex polynomials to establish new bounds and majorization relations for the critical points of these polynomials in terms of their zeros
Given a polynomial with complex coefficients, the celebrated Gauss-Lucas's theorem and Marden's theo...
Inequalities have been a major mathematical research area. They have various applications in pure an...
In this paper, we shall follow a companion matrix approach to study the relationship between zeros o...
AbstractIn this paper, we introduce a new type of companion matrices, namely, D-companion matrices. ...
AbstractThis paper is primarily concerned with complex polynomials which have critical points which ...
We obtain a majorization inequality which relates the singular values of a complex square matrix A a...
AbstractWe present applications of matrix methods to the analytic theory of polynomials. We first sh...
AbstractWe obtain a majorization inequality which relates the singular values of a complex square ma...
In this paper, we introduce a new type of companion matrices, namely, D-companion matrices. By using...
AbstractIn this paper, we introduce a new type of companion matrices, namely, D-companion matrices. ...
AbstractBounds for the imaginary parts of the zeros of a polynomial are given by the generalization ...
Abstract. Given a polynomial p of degree n ≥ 2 and with at least two distinct roots let Z(p) = {z: ...
We show some majorization inequalities and apply them to derive norm, eigenvalue, singular value, an...
AbstractWe show some majorization inequalities and apply them to derive norm, eigenvalue, singular v...
We show some majorization inequalities and apply them to derive norm, eigenvalue, singular value, an...
Given a polynomial with complex coefficients, the celebrated Gauss-Lucas's theorem and Marden's theo...
Inequalities have been a major mathematical research area. They have various applications in pure an...
In this paper, we shall follow a companion matrix approach to study the relationship between zeros o...
AbstractIn this paper, we introduce a new type of companion matrices, namely, D-companion matrices. ...
AbstractThis paper is primarily concerned with complex polynomials which have critical points which ...
We obtain a majorization inequality which relates the singular values of a complex square matrix A a...
AbstractWe present applications of matrix methods to the analytic theory of polynomials. We first sh...
AbstractWe obtain a majorization inequality which relates the singular values of a complex square ma...
In this paper, we introduce a new type of companion matrices, namely, D-companion matrices. By using...
AbstractIn this paper, we introduce a new type of companion matrices, namely, D-companion matrices. ...
AbstractBounds for the imaginary parts of the zeros of a polynomial are given by the generalization ...
Abstract. Given a polynomial p of degree n ≥ 2 and with at least two distinct roots let Z(p) = {z: ...
We show some majorization inequalities and apply them to derive norm, eigenvalue, singular value, an...
AbstractWe show some majorization inequalities and apply them to derive norm, eigenvalue, singular v...
We show some majorization inequalities and apply them to derive norm, eigenvalue, singular value, an...
Given a polynomial with complex coefficients, the celebrated Gauss-Lucas's theorem and Marden's theo...
Inequalities have been a major mathematical research area. They have various applications in pure an...
In this paper, we shall follow a companion matrix approach to study the relationship between zeros o...
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