AbstractIn this paper, we present new results relating the numerical range of a matrix A with the generalized Levinger transformation L(A,α,β)=αHA+βSA, where HA and SA, are, respectively the Hermitian and skew-Hermitian parts of A. Using these results, we then derive expressions for eigenvalues and eigenvectors of the perturbed matrix A+L(E,α,β), for a fixed matrix E and α, β are real parameters
AbstractKahan's results on the perturbation of the eigenvalues of a hermitian matrix A affected by a...
AbstractLet Cn×n and Hn denote respectively the space of n×n complex matrices and the real space of ...
AbstractLetA=H1E∗EH2andA∼=H1OOH2 be Hermitian matrices with eigenvalues λ1⩾⋯⩾λk and λ∼1⩾⋯⩾λ∼k, respe...
In this paper, we present new results relating the numerical range of a matrix A with the generalize...
AbstractThis paper is, in a sense. a continuation of the author's previous paper on the numerical ra...
AbstractThis paper is, in a sense. a continuation of the author's previous paper on the numerical ra...
AbstractWe present results connecting the shape of the numerical range to intrinsic properties of a ...
AbstractLet T=U|T| be the polar decomposition of an operator T. Aluthge defined an operator transfor...
We present results connecting the shape of the numerical range to intrinsic properties of a matrix A...
AbstractIn this paper the authors show that the Aluthge transformation T̃ of a matrix T and a polyno...
AbstractLet A be a nonnegative square matrix whose symmetric part has rank one. Tournament matrices ...
AbstractIn the early seventies, Fried formulated bounds on the spectrum of assembled Hermitian posit...
AbstractLet n, m be positive integers, H a subgroup of the symmetric group of degree m, and χ:H→C a ...
AbstractIn this paper, we present new results relating the numerical range of a matrix A with the ge...
This paper is concerned with the perturbation of a multiple eigenvalue $\mu$ of the Hermitian matrix...
AbstractKahan's results on the perturbation of the eigenvalues of a hermitian matrix A affected by a...
AbstractLet Cn×n and Hn denote respectively the space of n×n complex matrices and the real space of ...
AbstractLetA=H1E∗EH2andA∼=H1OOH2 be Hermitian matrices with eigenvalues λ1⩾⋯⩾λk and λ∼1⩾⋯⩾λ∼k, respe...
In this paper, we present new results relating the numerical range of a matrix A with the generalize...
AbstractThis paper is, in a sense. a continuation of the author's previous paper on the numerical ra...
AbstractThis paper is, in a sense. a continuation of the author's previous paper on the numerical ra...
AbstractWe present results connecting the shape of the numerical range to intrinsic properties of a ...
AbstractLet T=U|T| be the polar decomposition of an operator T. Aluthge defined an operator transfor...
We present results connecting the shape of the numerical range to intrinsic properties of a matrix A...
AbstractIn this paper the authors show that the Aluthge transformation T̃ of a matrix T and a polyno...
AbstractLet A be a nonnegative square matrix whose symmetric part has rank one. Tournament matrices ...
AbstractIn the early seventies, Fried formulated bounds on the spectrum of assembled Hermitian posit...
AbstractLet n, m be positive integers, H a subgroup of the symmetric group of degree m, and χ:H→C a ...
AbstractIn this paper, we present new results relating the numerical range of a matrix A with the ge...
This paper is concerned with the perturbation of a multiple eigenvalue $\mu$ of the Hermitian matrix...
AbstractKahan's results on the perturbation of the eigenvalues of a hermitian matrix A affected by a...
AbstractLet Cn×n and Hn denote respectively the space of n×n complex matrices and the real space of ...
AbstractLetA=H1E∗EH2andA∼=H1OOH2 be Hermitian matrices with eigenvalues λ1⩾⋯⩾λk and λ∼1⩾⋯⩾λ∼k, respe...
DOI
Add to ORKG