A polynomial fit preconditioner for band Toeplitz matrices in image reconstruction (Q1602999)

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scientific article; zbMATH DE number 1758614
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A polynomial fit preconditioner for band Toeplitz matrices in image reconstruction
scientific article; zbMATH DE number 1758614

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    A polynomial fit preconditioner for band Toeplitz matrices in image reconstruction (English)
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    24 June 2002
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    A preconditioner for symmetric positive definite Toeplitz matrices is introduced based on a trigonometric polynomial fit which has the same effectiveness of the modified circulant preconditioner but has a lower cost when applied to band matrices. The algorithm is also extended to band block Toeplitz matrices.
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    preconditioned conjugate gradient method
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    image reconstruction
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    preconditioner
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    symmetric positive definite Toeplitz matrices
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    trigonometric polynomial fit
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    algorithm
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    block Toeplitz matrices
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