Perturbation Analysis for the Eigenvalue Problem of a Formal Product of Matrices
β Scribed by Peter Benner; Volker Mehrmann; Hongguo Xu
- Book ID
- 110413052
- Publisher
- Springer Netherlands
- Year
- 2002
- Tongue
- English
- Weight
- 416 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0006-3835
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π SIMILAR VOLUMES
We obtain eigenvalue perturbation results for a factorised Hermitian matrix H = GJ G \* where J 2 = I and G has full row rank and is perturbed into G + Ξ΄G, where Ξ΄G is small with respect to G. This complements the earlier results on the easier case of G with full column rank. Applied to square facto
An efficient method for the determination of the eigenvalues and eigenvectors of lightly damped systems is developed by means of a perturbation technique. The second order matrix differential equation containing mass, stiffness and damping matrices is normally transformed into a first-order state eq
A function F with simple and nice algebraic properties is defined on a subset of the space of complex sequences. Some special functions are expressible in terms of F, first of all the Bessel functions of first kind. A compact formula in terms of the function F is given for the determinant of a Jacob