Preconditioning regularized least squares problems arising from high-resolution image reconstruction from low-resolution frames

DOI10.1016/j.laa.2004.01.013zbMath1061.65032OpenAlexW2023776611MaRDI QIDQ1888343

Fu-Rong Lin, Wai-Ki Ching, Michael Kwok-Po Ng

Publication date: 23 November 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.01.013

zbMATH Keywords

comparison of methodsnumerical examplesconjugate gradient methodsRegularizationHigh-resolution image reconstructionCosine transform preconditionerIncomplete Cholesky factorization preconditioner

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (2)

Fast minimization methods for solving constrained total-variation superresolution image reconstruction ⋮ Some properties of generalized \(K\)-centrosymmetric \(H\)-matrices

Cites Work

• Displacement structure approach to discrete-trigonometric-transform based preconditioners of G. Strang type and of T. Chan type
• Cosine transform preconditioners for high resolution image reconstruction
• A regularized structured total least squares algorithm for high-resolution image reconstruction
• A New Modified Cholesky Factorization
• An Incomplete Factorization Technique for Positive Definite Linear Systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Computing Modified Newton Directions Using a Partial Cholesky Factorization
• Incomplete Cholesky Factorizations with Limited Memory
• Conjugate Gradient Methods for Toeplitz Systems
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