Iterative solution of Toeplitz systems by preconditioning with the discrete sine transform

Fabio Di Benedetto

doi:10.1117/12.211407

7 June 1995 Iterative solution of Toeplitz systems by preconditioning with the discrete sine transform

Fabio Di Benedetto

Proceedings Volume 2563, Advanced Signal Processing Algorithms; (1995) https://doi.org/10.1117/12.211407
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

Solving linear systems or least-squares related to Toeplitz matrices is often required in the context of signal and image processing; conjugate-gradient-like methods are well-suited for solving such problems. The recent preconditioning technique involving the discrete sine transform is presented: convergence properties are reported and suitable generalizations to block matrices, nonsymmetric systems, and least-squares problems are discussed. Finally, these techniques are applied to regularized inverse problems arising in image restoration.

Citation Download Citation

Fabio Di Benedetto "Iterative solution of Toeplitz systems by preconditioning with the discrete sine transform", Proc. SPIE 2563, Advanced Signal Processing Algorithms, (7 June 1995); https://doi.org/10.1117/12.211407

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