For a heavily damped system, either viscous or hysteretic or both, the homogeneous solution constitutes a generalized complex symmetric eigenproblem [A][x] = l[B]{x}, where [A] and [B] are sparse complex symmetric matrices. The general method to solve the transformed eigenproblem [B] -1 [A]{x} = l{x
โฆ LIBER โฆ
A subspace iteration for eigenvector derivatives
โ Scribed by Ting, T.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1992
- Tongue
- English
- Weight
- 421 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0748-8025
No coin nor oath required. For personal study only.
โฆ Synopsis
An iterative procedure for calculating eigenvector derivatives has been developed based on the subspace iteration concept. The basic formulation is derived directly from the first variation of the resulting equations of subspace iteration for solving eigenvalue problems. Since the basic formulation conserves the convergence properties of the original subspace iteration for eigen-problems, an overrelaxation scheme similar to Bathe's approach is employed to accelerate the subspace iteration process for calculating eigenvector derivatives.
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