A generalized product-type BiCOR method and its application in signal deconvolution

DOI10.1016/j.camwa.2013.08.007zbMath1350.65027OpenAlexW1970645546MaRDI QIDQ316146

Mohammad Hasan, M. Dambrine

Publication date: 26 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.08.007

zbMATH Keywords

algorithmnumerical examplesconjugate gradient methodKrylov subspace methodproduct-type methodnonsymmetric linear systembiconjugate \(A\)-orthogonal residual methodsignal deconvolution

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Iterative numerical methods for linear systems (65F10)

Related Items

BiCGCR2: A new extension of conjugate residual method for solving non-Hermitian linear systems, A quasi-minimal residual variant of the BiCORSTAB method for nonsymmetric linear systems, A transpose-free quasi-minimal residual variant of the CORS method for solving non-Hermitian linear systems, A new quasi-minimal residual method based on a biconjugate \(A\)-orthonormalization procedure and coupled two-term recurrences, A new iterative method for solving complex symmetric linear systems, A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems, KRYLOV SUBSPACE METHODS WITH DEFLATION AND BALANCING PRECONDITIONERS FOR LEAST SQUARES PROBLEMS

Uses Software

• Regularization tools
• BiCOR
• CORS
• GpBiCg
• CGS

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Lanczos-type variants of the COCR method for complex nonsymmetric linear systems
• A COCR method for solving complex symmetric linear systems
• An extension of the conjugate residual method to nonsymmetric linear systems
• BiCGstab(\(l\)) and other hybrid Bi-CG methods
• An algorithm for total variation minimization and applications
• Regularization tools version \(4.0\) for matlab \(7.3\)
• The BiCOR and CORS Iterative Algorithms for Solving Nonsymmetric Linear Systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Variants of BICGSTAB for Matrices with Complex Spectrum
• GPBi-CG: Generalized Product-type Methods Based on Bi-CG for Solving Nonsymmetric Linear Systems
• Iterative Krylov Methods for Large Linear Systems
• Methods of conjugate gradients for solving linear systems