The generalized eigenvalue problem ex kfx has special properties when eY f is a Hermitian and deยฎnite pair. Given a general Hermitian pair eY f it is of interest to ยฎnd the nearest deยฎnite pair having a speciยฎed Crawford number d b 0. We solve the problem in terms of the inner numerical radius assoc
โฆ LIBER โฆ
Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems
โ Scribed by Li, Ren-Cang; Nakatsukasa, Yuji; Truhar, Ninoslav; Xu, Shufang
- Book ID
- 118211199
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2011
- Tongue
- English
- Weight
- 288 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0895-4798
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The nearest definite pair for the Hermit
โ
Sheung Hun; Nicholas J.
๐
Article
๐
1999
๐
Elsevier Science
๐
English
โ 199 KB
Generalized eigenvalues of a definite he
โ
Chi-Kwong Li; Roy Mathias
๐
Article
๐
1998
๐
Elsevier Science
๐
English
โ 434 KB
Generalized eigenvalues of a definite he
โ
Li, C
๐
Article
๐
1998
๐
Elsevier Science
๐
English
โ 384 KB
Generalized eigenvalue problems with pos
โ
Jan de Leeuw
๐
Article
๐
1982
๐
Springer
๐
English
โ 536 KB
Optimal perturbation bounds for the Herm
โ
Jesse L. Barlow; Ivan Slapniฤar
๐
Article
๐
2000
๐
Elsevier Science
๐
English
โ 169 KB
There is now a large literature on structured perturbation bounds for eigenvalue problems of the form where H and M are Hermitian. These results give relative error bounds on the ith eigenvalue, ฮป i , of the form and bound the error in the ith eigenvector in terms of the relative gap, In general,
Eigenvalues of perturbed Hermitian matri
โ
C.C. Paige
๐
Article
๐
1974
๐
Elsevier Science
๐
English
โ 451 KB