A family of modified regularizing circulant preconditioners for two-levels Toeplitz systems

DOI10.1016/j.camwa.2004.03.006zbMath1067.65029OpenAlexW1988604968MaRDI QIDQ1770650

Ornella Menchi, Dario Andrea Bini, Paola Favati

Publication date: 7 April 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.03.006

zbMATH Keywords

numerical experimentsIterative methodsToeplitz matricesimage restorationill-conditioned Toeplitz systemsCirculant matricesRegularizing preconditioners

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Regularizing inverse preconditioners for symmetric band Toeplitz matrices, A generalization of the optimal diagonal approximate inverse preconditioner, A fast numerical algorithm for a basic dual integral equation of the flapping wing in a flow of non-viscous incompressible fluid, Preconditioners based on fit techniques for the iterative regularization in the image deconvolution problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverse Toeplitz preconditioners for ill-posed problems
• Circulant preconditioners for Toeplitz-block matrices
• A Proposal for Toeplitz Matrix Calculations
• An Optimal Circulant Preconditioner for Toeplitz Systems
• FFT-Based Preconditioners for Toeplitz-Block Least Squares Problems
• Circulant Preconditioners for Hermitian Toeplitz Systems
• Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques