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Digitale Medien

Circulant preconditioners for Toeplitz-block matrices (1994)

Chan, Tony F. ; Olkin, Julia A.

Springer

Numerical algorithms 6 (1994), S. 89-101

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Details

ISSN: 1572-9265

Quelle: Springer Online Journal Archives 1860-2000

Thema: Informatik , Mathematik

Notizen: Abstract We propose two block preconditioners for Toeplitz-block matrices (i.e. each block is Toeplitz), intended to be used in conjunction with conjugate gradient methods. These preconditioners employ and extend existing circulant preconditioners for point Toeplitz matrices. The two preconditioners differ in whether the point circulant approximation is used once or twice, and also in the cost per step. We discuss efficient implementation of these two preconditioners, as well as some basic theoretical properties (such as preservation of symmetry and positive definiteness). We report results of numerical experiments, including an example from active noise control, to compare their performance.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02149764

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