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
โฆ LIBER โฆ
A method for calculating the eigenvalues of large Hermitian matrices by second-order recursion formulae
โ Scribed by Ayori Mitsutake; Toshiaki Iitaka; Yuko Okamoto
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 679 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0010-4655
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New methods for the iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of a generalized eigenvalue problem are proposed. These methods use only multiplication of the A and B matrices on a vector. 0 1994 by John Wiley & Sons, Inc.