Trace class multipliers and spectral variation of normal matrices
β Scribed by S.W. Drury
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 518 KB
- Volume
- 280
- Category
- Article
- ISSN
- 0024-3795
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β¦ Synopsis
In this article we show how to estimate the trace multiplier norm of a rank 2 matrix. As an application, an alternative proof of a theorem of Holbrook et al. (Maximal spectral distance, Linear Algebra Appl., 249 (1996) 197-205) on the maximal spectral distance between two normal matrices with prescribed eigenvalues is given.
π SIMILAR VOLUMES
We investigate the properties of sparse-matrix ensembles with particular regard for the spectral ergodicity hypothesis, which claims the identity of ensemble and spectral averages of spectral correlators. An apparent violation of the spectral ergodicity is observed. This effect is studied with the a