The algebraic eigenvalue problem
The algebraic eigenvalue problem
The restricted singular value decomposition of matrix triplets
SIAM Journal on Matrix Analysis and Applications
Spectral value sets: a graphical tool for robustness analysis
Systems & Control Letters
Matrix computations (3rd ed.)
Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications
SIAM Journal on Matrix Analysis and Applications
On the Computation of the Restricted Singular Value Decomposition via the Cosine-Sine Decomposition
SIAM Journal on Matrix Analysis and Applications
Optimization and Pseudospectra, with Applications to Robust Stability
SIAM Journal on Matrix Analysis and Applications
On Stable Eigendecompositions of Matrices
SIAM Journal on Matrix Analysis and Applications
Hi-index | 7.29 |
Pseudospectra and structured pseudospectra have been investigated widely. In this paper, for the matrix spectral norm we give a new equivalent definition of structured pseudospectra of a matrix triplet (A, B, C) via the so-called restricted singular value decomposition (RSVD). According to this definition we provide a solution of structured Wilkinson's problem, which concerns structured sensitivity of eigenvalues of square matrices. Several examples are given to illustrate our results. Also, we extend the new definition of structured pseudospectra to polynomial eigenvalue problems.