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Computing complex eigenvalues of large non-Hermitian matrices

โœ Scribed by W. Kerner; K. Lerbinger; J. Steuerwald

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
887 KB
Volume
38
Category
Article
ISSN
0010-4655

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โœฆ Synopsis

The generalized eigenvalue problem Ax = hBx with a non-symmetric matrix A is solved by means of inverse vector iteration. The algorithm makes use of the band structure of the matrices, thus allowing quite large dimensions (d 5 3742). In the application all complex eigenvalues for the resistive Alfven modes are successively computed.

๐Ÿ“œ SIMILAR VOLUMES

A novel algorithm for calculation of the
A novel algorithm for calculation of the extreme eigenvalues of large Hermitian matrices
โœ Yuko Okamoto; Humphrey J. Maris ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 661 KB

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