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New Applications of Non-Hermitian Random Matrices

✍ Scribed by A. Zabrodin

Publisher
Springer
Year
2003
Tongue
English
Weight
217 KB
Volume
4
Category
Article
ISSN
1424-0637

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πŸ“œ SIMILAR VOLUMES

Non-negativity test of multidimensional
Non-negativity test of multidimensional Hermitian matrices
✍ N.K. Bose πŸ“‚ Article πŸ“… 1975 πŸ› Elsevier Science 🌐 English βš– 237 KB

## Arguments are advanced to point out that simpliJicatio?L analogous to that in the computational test for positice definiteness of multidimensional Hermitian matrices is not possible when the Hermitian matrix is to be tested for non-negative de&items-s.

Computing complex eigenvalues of large n
Computing complex eigenvalues of large non-Hermitian matrices
✍ W. Kerner; K. Lerbinger; J. Steuerwald πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 887 KB

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 Alfve