Thin structure of eigenvalue clusters for non-Hermitian Toeplitz matrices

✍ Scribed by E.E. Tyrtyshnikov; N.L. Zamarashkin

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 230 KB
• Volume: 292
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(99)00044-0

✦ Synopsis

In contrast to the Hermitian case, the ``unfair behavior'' of non-Hermitian Toeplitz eigenvalues is still to be unravelled. We propose a general technique for this, which reveals the eigenvalue clusters for symbols from v I . Moreover, we study a thin structure of those clusters in the terms of properly de®ned subclusters. In some cases, this leads to as much as the Szego-like formulas.