## Abstract Eigenvalue bounds are provided. It is proved that the minimal eigenvalue of a __Z__βmatrix strictly diagonally dominant with positive diagonals lies between the minimal and the maximal row sums. A similar upper bound does not hold for the minimal eigenvalue of a matrix strictly diagonal
A property of eigenvalue bounds for a class of symmetric tridiagonal interval matrices
β Scribed by Quan Yuan; Huinan Leng; Zhiqing He
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 104 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1070-5325
- DOI
- 10.1002/nla.753
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π SIMILAR VOLUMES
## Abstract The aim of this paper is to establish the influence of a nonβsymmetric perturbation for a symmetric hemivariational eigenvalue inequality with constraints. The original problem was studied by Goeleven __et al__. (Math. Methods Appl. Sci. 1997; **20**: 548) who deduced the existence of i
Elementary Jacobi Rotations are used as the basic tools to obtain eigenvalues and eigenvectors of arbitrary real symmetric matrices. The proposed algorithm has a complete concurrent structure, that is: every eigenvalueeigenvector pair can be obtained in any order and in an independent way from the r