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Sine transform based preconditioners for symmetric Toeplitz systems

โœ Scribed by Raymond H. Chan; Michael K. Ng; C.K. Wong

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
828 KB
Volume
232
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

Sine transform based preconditioners for
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โœ Raymond H. Chan; C. K. Wong ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 126 KB

We consider applying the preconditioned conjugate gradient (PCG) method to solving linear systems Ax = b where the matrix A comes from the discretization of second-order elliptic operators with Dirichlet boundary conditions. Let (L+ ) -1 (L t + ) denote the block Cholesky factorization of A with low

Preconditioners for non-Hermitian Toepli
Preconditioners for non-Hermitian Toeplitz systems
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