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An efficient conjugate gradient preconditioner for Toeplitz systems

✍ Scribed by Eugen Schäfer; Ingrid Sporer


Book ID
107988891
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
506 KB
Volume
29
Category
Article
ISSN
0377-0427

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Preconditioners for non-Hermitian Toepli
✍ Raymond H. Chan; Daniel Potts; Gabriele Steidl 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 131 KB

In this paper, we construct new !-circulant preconditioners for non-Hermitian Toeplitz systems, where we allow the generating function of the sequence of Toeplitz matrices to have zeros on the unit circle. We prove that the eigenvalues of the preconditioned normal equation are clustered at 1 and tha