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On eigenvalue perturbation bounds for Hermitian block tridiagonal matrices.
- Source :
-
Applied Numerical Mathematics . Sep2014, Vol. 83, p38-50. 13p. - Publication Year :
- 2014
-
Abstract
- Abstract: In this paper, we give some structured perturbation bounds for generalized saddle point matrices and Hermitian block tridiagonal matrices. Our bounds improve some existing ones. In particular, the proposed bounds reveal the sensitivity of the eigenvalues with respect to perturbations of different blocks. Numerical examples confirm the theoretical results. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01689274
- Volume :
- 83
- Database :
- Academic Search Index
- Journal :
- Applied Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 96345386
- Full Text :
- https://doi.org/10.1016/j.apnum.2014.04.010