Superlinear CG convergence for special right-hand sides

zbMath1024.65102MaRDI QIDQ1866490

Bernhard Beckermann, Arno B. J. Kuijlaars

Publication date: 5 May 2003

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/123014

zbMATH Keywords

numerical examplesfinite differencesKrylov subspace methodconjugate gradientssuperlinear convergencePoisson problemdiscrete orthogonal polynomialslogarithmic potential theoryspecial right-hand side

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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A numerical solution of the constrained energy problem ⋮ Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method ⋮ A posteriori superlinear convergence bounds for block conjugate gradient ⋮ Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions ⋮ Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations ⋮ An analysis for the DIIS acceleration method used in quantum chemistry calculations ⋮ Convergence of CG and GMRES on a tridiagonal Toeplitz linear system ⋮ Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations ⋮ Convergence analysis of Krylov subspace methods ⋮ The rate of convergence of GMRES on a tridiagonal Toeplitz linear system ⋮ On the cost of iterative computations ⋮ The rate of convergence of GMRES on a tridiagonal Toeplitz linear system. II

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