𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Eigenvalues, pseudospectrum and structured perturbations

✍ Scribed by Siegfried M. Rump

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
326 KB
Volume
413
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Structured perturbations and symmetric m
Structured perturbations and symmetric matrices
✍ Siegfried M. Rump πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 653 KB

For a given n x n matrix the ratio between the componentwise distance to the nearest singular matrix and the inverse of the optimal BauerSkeel condition number cannot be larger than (3 + 2&)n. In this note a symmetric matrix is presented where the described ratio is equal to n for the choice of most

Domain Perturbations, Shift of Eigenvalu
Domain Perturbations, Shift of Eigenvalues and Capacity
✍ AndrΓ© Noll πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 209 KB

The notion of capacity of a subspace which was introduced in [16] is used to prove new estimates on the shift of the eigenvalues which arises if the form domain of a self-adjoint and semibounded operator is restricted to a smaller subspace. The upper bound on the shift of the spectral bound given in

Finite and continuous perturbations of m
Finite and continuous perturbations of matrix eigenvalues
✍ A.L Andrew πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 306 KB

An elementary proof is given that some well-known formulae for derivatives of eigenvalues of matrix-valued functions hold under weaker hypotheses than are required by the usual proofs. The relationship between continuous and finite perturbations is also discussed.

EIGENVALUE REANALYSIS OF STRUCTURES USIN
EIGENVALUE REANALYSIS OF STRUCTURES USING PERTURBATIONS AND PADÉ APPROXIMATION
✍ XIAOWEI YANG; SUHUAN CHEN; BAISHENG WU πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 206 KB

Based on the usual perturbation and PadeH approximation, a new eigenvalue reanalysis method for modi"ed structures is developed in this paper. By this method, the accuracy of the eigenvalues and varying ranges of the parameters of the structures are improved. As an application of the method, a numer