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Inverse Toeplitz preconditioners for Hermitian Toeplitz systems

โœ Scribed by Fu-Rong Lin; Wai-Ki Ching

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

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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

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Preconditioners to nonsymmetric, nondiagonally dominant systems of equations are constructed and examined numerically. The preconditioners are based on a Toeplitz approaLh with a certain symmetry that we define. The inversion of the preconditioners is defined through a Fast Modified Sine Transform.