Adaptive Richardson iteration based on Leja points

DOI10.1016/0377-0427(96)87162-7zbMath0863.65012OpenAlexW2010113997MaRDI QIDQ1919956

Lothar Reichel, Daniela Calvetti

Publication date: 8 June 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(96)87162-7

zbMATH Keywords

conjugate gradient methodsparse linear systemsLeja pointsmodified momentsadaptive Richardson method

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10)

Related Items (11)

A new anisotropic fourth-order diffusion equation model based on image features for image denoising ⋮ A non-local diffusion equation for noise removal ⋮ A hybrid iterative method for symmetric positive definite linear systems ⋮ A numerical study of Newton interpolation with extremely high degrees ⋮ An adaptive Richardson iteration method for indefinite linear systems ⋮ The Lebesgue constants for Leja points are subexponential ⋮ A nonlinear diffusion equation-based model for ultrasound speckle noise removal ⋮ Cyclic schemes for PDE-based image analysis ⋮ Coherence-enhancing diffusion with the source term ⋮ Leja, Fejér-Leja and \(\mathfrak{R}\)-Leja sequences for Richardson iteration ⋮ An image denoising model based on a fourth-order nonlinear partial differential equation

Cites Work

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• Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
• The application of Leja points to Richardson iteration and polynomial preconditioning
• A study of semiiterative methods for nonsymmetric systems of linear equations
• Leapfrog variants of iterative methods for linear algebraic equations
• On the effectiveness of adaptive Chebyshev acceleration for solving systems of linear equations
• Sur certaines suites liées aux ensembles plans et leur application à la représentation conforme
• Estimates of Eigenvalues for Iterative Methods
• On Generating Orthogonal Polynomials
• Calculation of Gauss Quadrature Rules
• Some Modified Matrix Eigenvalue Problems

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