✦ LIBER ✦

Spectral variation, normal matrices, and finsler geometry

✍ Scribed by Rajendra Bhatia

Publisher: Springer-Verlag
Year: 2007
Tongue: English
Weight: 599 KB
Volume: 29
Category: Article
ISSN: 0343-6993
DOI: 10.1007/bf02985689

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Trace class multipliers and spectral var

Trace class multipliers and spectral variation of normal matrices

✍ S.W. Drury 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 518 KB

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 prescr

Bounds for iterates, inverses, spectral

Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices

✍ Peter Henrici 📂 Article 📅 1962 🏛 Springer-Verlag 🌐 English ⚖ 751 KB

Spectral ergodicity and normal modes in

Spectral ergodicity and normal modes in ensembles of sparse matrices

✍ A.D. Jackson; C. Mejia-Monasterio; T. Rupp; M. Saltzer; T. Wilke 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 526 KB

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