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Proceedings Paper

Solving block-banded block Toeplitz systems with banded Toeplitz blocks
Author(s): Dario Andrea Bini; Beatrice Meini
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Paper Abstract

We introduce the concept of (epsilon) -displacement rank, that allows us to devise a fast algorithm for the approximate solution of BBBT/BTB (Block Banded Block Toeplitz with Banded Toeplitz Blocks) systems by means of cyclic reduction. We also introduce the concept of incomplete displacement block LU factorization of a Toeplitz-like matrix, where the displacement structure is imposed to the blocks of the factors L and U. The role of the matrix LU as preconditioner is discussed. Finally we propose another preconditioner obtained by extending a BBBT/BTB matrix to a banded Toeplitz matrix. Some open problems are addressed.

Paper Details

Date Published: 2 November 1999
PDF: 12 pages
Proc. SPIE 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, (2 November 1999); doi: 10.1117/12.367646
Show Author Affiliations
Dario Andrea Bini, Univ. di Pisa (Italy)
Beatrice Meini, Univ. di Pisa (Italy)

Published in SPIE Proceedings Vol. 3807:
Advanced Signal Processing Algorithms, Architectures, and Implementations IX
Franklin T. Luk, Editor(s)

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