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Preconditioning strategies for non-Hermitian Toeplitz linear systems

โœ Scribed by Thomas Huckle; Stefano Serra-Capizzano; Cristina Tablino-Possio


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

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Preconditioners for non-Hermitian Toepli
โœ Raymond H. Chan; Daniel Potts; Gabriele Steidl ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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