Numerical solution of the eigenvalue problem for efficiently structured Hermitian matrices
β Scribed by William F. Trench
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 790 KB
- Volume
- 154-156
- Category
- Article
- ISSN
- 0024-3795
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## Abstract In the numerical modelling of mechanical systems, eigenvalue problems occur in connection with the evaluation of resonance frequencies, buckling modes and other more esoteric calculations. The matrices whose eigenvalues are sought sometimes have a skewβsymmetric component and the presen
A new fast algorithm for calculating a few maximum (or minimum) eigenvalues and the corresponding eigenvectors of large N x N Hermitian matrices is presented. The method is based on a molecular dynamics algorithm for N coupled harmonic oscillators. The time step for iteration is chosen so that only