In connection with previously published work, this paper presents further results about the bounding properties of eigenvalues provided by a linear eigenmatrix formulation A 7 lB. The linear eigenmatrix is formed by expressing the elements of a non-linear dynamic stiness matrix, K(l), as linear func
On error bounds for eigenvalues of a matrix pencil
โ Scribed by Mario Ahues; Balmohan Limaye
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 564 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
โฆ Synopsis
An error bound for approximate eigenvalues of a complex n-dimensional pencil (A, B) is given. From our theorem several well-known bounds follow as corollaries.
Our result takes into account the general residual AX -BXW, where X ~ C n x m and W ~ C mxm with m ~< n.
๐ SIMILAR VOLUMES
An approximate representation of a transcendental dynamic stiffness matrix K(r) by a simple quadratic matrix pencil A -rBr 2 C is studied in this paper. The matrix pencil is formed by expressing the elements of K as parabolic functions based on choosing three fixed values of the eigenparameter r. Ge
Bounds are derived for the real eigenvalues of a special matrix. Matrices of this form arise in the design of two-up one-down cascades for isotope separation.