Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603053 | Linear Algebra and its Applications | 2006 | 15 Pages |
Abstract
In this article three well-known methods of circulant preconditioning of finite multiindex Toeplitz linear systems, that is linear systems indexed by integers i1, … , id with 0 ⩽ is < ns (s = 1, … , d), are studied in detail. A general algorithm for the construction of the so-called superoptimal preconditioner is also given and it is shown that this procedure requires O(n1 ⋯ ndlog(n1 ⋯ nd)) floating point operations.
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