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Asymptotic properties of the QR factorization of banded Hessenberg–Toeplitz matrices

✍ Scribed by Xiao-Wen Chang; Martin J. Gander; Samir Karaa

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
184 KB
Volume
12
Category
Article
ISSN
1070-5325

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On the asymptotic behavior of the eigenv
On the asymptotic behavior of the eigenvectors of large banded Toeplitz matrices
✍ A. Böttcher; S. Grudsky; E. Ramírez de Arellano 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB 👁 1 views

## Abstract Let __λ__ be an eigenvalue of an infinite Toeplitz band matrix __A__ and let __λ~n~__ be an eigenvalue of the __n__ ×__n__ truncation __A~n~__ of __A__ . Suppose __λ~n~__ converges to __λ__ as __n__ → ∞. We show that generically the eigenspaces for __λ~n~__ are onedimensional and contai