Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639123 | Journal of Computational and Applied Mathematics | 2014 | 13 Pages |
Abstract
We will show, under modest constraints, that normal matrices also admit a memory cheap intermediate matrix of tridiagonal complex symmetric form. Moreover, we will propose a general approach for computing the eigenvalues of a normal matrix, exploiting thereby the normal complex symmetric structure. An analysis of the computational cost and numerical experiments with respect to the accuracy of the approach are enclosed. In the second part of the manuscript we will investigate the case of nonsimple singular values and propose a theoretical framework for retrieving the eigenvalues. We will, however, also highlight some numerical difficulties inherent to this approach.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Micol Ferranti, Raf Vandebril,