Eigenvalues of rank one perturbations of unstructured matrices
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Publication:426046
DOI10.1016/j.laa.2012.02.027zbMath1247.15009arXiv1104.0618OpenAlexW2963362753MaRDI QIDQ426046
Michał Wojtylak, André C. M. Ran
Publication date: 11 June 2012
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.0618
Related Items (18)
A note on a conjecture concerning rank one perturbations of singular M-matrices ⋮ Rank two perturbations of matrices and operators and operator model for \(\mathbf{t}\)-transformation of probability measures ⋮ Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices. II. ⋮ Eigenvalue Placement for Regular Matrix Pencils with Rank One Perturbations ⋮ Inequalities for the eigenvectors associated to extremal eigenvalues in rank one perturbations of symmetric matrices ⋮ On the Process of the Eigenvalues of a Hermitian Lévy process ⋮ Spectral perturbation by rank m matrices ⋮ First Order Structure-Preserving Perturbation Theory for Eigenvalues of Symplectic Matrices ⋮ Rank one perturbations of \(H\)-positive real matrices ⋮ Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations ⋮ Matrix methods for Padé approximation: numerical calculation of poles, zeros and residues ⋮ A singular M-matrix perturbed by a nonnegative rank one matrix has positive principal minors; is it D-stable? ⋮ Zeros of nonpositive type of generalized Nevanlinna functions with one negative square ⋮ Spectral properties of the trap model on sparse networks ⋮ Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices ⋮ A new identity for resolvents of matrices ⋮ Perturbations of non-diagonalizable stochastic matrices with preservation of spectral properties ⋮ Spectra of $\mathcal{PT}$-symmetric operators under rank-one perturbations
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