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2011

Approximate inverse-free preconditioners for Toeplitz matrices

8 years 6 months ago
Approximate inverse-free preconditioners for Toeplitz matrices
In this paper, we propose approximate inverse-free preconditioners for solving Toeplitz systems. The preconditioners are constructed based on the famous Gohberg-Sememcul formula. We show that if a Toepltiz matrix is generated by a positive bounded function and its entries enjoys the off-diagonal decay property, then the eigenvalues of the preconditioned matrix are clustered around one. Experimental results show that the proposed preconditioners are superior to other existing preconditioners in the literature.
You-Wei Wen, Wai-Ki Ching, Michael Ng
Added 12 May 2011
Updated 12 May 2011
Type Journal
Year 2011
Where AMC
Authors You-Wei Wen, Wai-Ki Ching, Michael Ng
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