We study the eigenvalues of rank one perturbations of regular matrix pencils depending linearly on a complex parameter. We prove properties of the corresponding eigenvalue sets including a convergence result as the parameter tends to infinity and an eigenvalue interlacing property for real valued pencils having real eigenvalues only
AbstractStability of passing from Gaussian quadrature data to the Lanczos recurrence coefficients is...
AbstractLet A(λ) be a complex regular matrix polynomial of degree ℓ with g elementary divisors corre...
AbstractWe express the eigenvalues of a pentadiagonal symmetric Toeplitz matrix as the zeros of expl...
We study the eigenvalues of rank one perturbations of regular matrix pencils depending linearly on a...
We study the eigenvalues of rank one perturbations of regular matrix pencils depending linearly on a...
We study the eigenvalues of rank one perturbations of regular matrix pencils depending linearly on a...
We present in this note a correction to Theorem 17 in Ran and Wojtylak (Compl. Anal. Oper. Theory 15...
AbstractWe study the eigenvalue perturbations of an n×n real unreduced symmetric tridiagonal matrix ...
AbstractThe bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitia...
AbstractLet H(λ)=A0+λA1 be a square singular matrix pencil, and let λ0∈C be an eventually multiple e...
AbstractIn this paper, we present a sharp version of Bauer–Fike’s theorem. We replace the matrix nor...
AbstractWe present explicit formulae which allow us to construct elliptic matrices with zero diagona...
We study an eigenvalue problem for the Laplace operator with a boundary condition containing a param...
AbstractFor the generalized eigenvalue problem, we establish upper bounds for the spectral variation...
We study an eigenvalue problem for the Laplace operator with a boundary condition containing a param...
AbstractStability of passing from Gaussian quadrature data to the Lanczos recurrence coefficients is...
AbstractLet A(λ) be a complex regular matrix polynomial of degree ℓ with g elementary divisors corre...
AbstractWe express the eigenvalues of a pentadiagonal symmetric Toeplitz matrix as the zeros of expl...
We study the eigenvalues of rank one perturbations of regular matrix pencils depending linearly on a...
We study the eigenvalues of rank one perturbations of regular matrix pencils depending linearly on a...
We study the eigenvalues of rank one perturbations of regular matrix pencils depending linearly on a...
We present in this note a correction to Theorem 17 in Ran and Wojtylak (Compl. Anal. Oper. Theory 15...
AbstractWe study the eigenvalue perturbations of an n×n real unreduced symmetric tridiagonal matrix ...
AbstractThe bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitia...
AbstractLet H(λ)=A0+λA1 be a square singular matrix pencil, and let λ0∈C be an eventually multiple e...
AbstractIn this paper, we present a sharp version of Bauer–Fike’s theorem. We replace the matrix nor...
AbstractWe present explicit formulae which allow us to construct elliptic matrices with zero diagona...
We study an eigenvalue problem for the Laplace operator with a boundary condition containing a param...
AbstractFor the generalized eigenvalue problem, we establish upper bounds for the spectral variation...
We study an eigenvalue problem for the Laplace operator with a boundary condition containing a param...
AbstractStability of passing from Gaussian quadrature data to the Lanczos recurrence coefficients is...
AbstractLet A(λ) be a complex regular matrix polynomial of degree ℓ with g elementary divisors corre...
AbstractWe express the eigenvalues of a pentadiagonal symmetric Toeplitz matrix as the zeros of expl...