Linearization of the quadratic eigenvalue problem
โ Scribed by D. Afolabi
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 200 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0045-7949
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๐ SIMILAR VOLUMES
We consider the quadratic eigenvalue problem with selfadjoint operators R, S and T in the Hilbert space 8. The operator S is supposed to be "large" with respect to the operators R and T. For simplicity we assume that R and T have bounded inverses. If, additionally, S is uniformly positive, then (1)
## Abstract We consider the eigenvalue problem magnified image for __t__ ฯต [0, __b__], where __a^n^__ = |__a__|^n^ sgn__a, a__ ฯต โ, ฮป ฯต โ, the constants ฮผ__, v__ are real such that 0 โค ฮผ < __n__ and derive asymptotic estimates for solutions of the differential equation in the definite case __q__(__
## Abstract A simple method of imposing linear constraints upon an eigenvalue problem is described that reduces the dimension of the problem by the number of constraints imposed. Several applications are outlined.