On Meinardus' examples for the conjugate gradient method
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Publication:5429503
DOI10.1090/S0025-5718-07-01922-9zbMath1128.65027OpenAlexW2017279613MaRDI QIDQ5429503
Publication date: 30 November 2007
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-07-01922-9
rate of convergencecondition numberconjugate gradient methodVandermonde matrixKrylov subspacepositive definite linear system
Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)
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Calibration by optimization without using derivatives ⋮ THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM ⋮ On the Generalized Lanczos Trust-Region Method ⋮ Convergence of CG and GMRES on a tridiagonal Toeplitz linear system ⋮ Convergence of the block Lanczos method for eigenvalue clusters ⋮ Vandermonde matrices with Chebyshev nodes ⋮ Sharpness in rates of convergence for the symmetric Lanczos method ⋮ Error bounds of Lanczos approach for trust-region subproblem ⋮ The upper and lower bounds for generalized minimal residual method on a tridiagonal Toeplitz linear system ⋮ The rate of convergence of GMRES on a tridiagonal Toeplitz linear system ⋮ The rate of convergence of GMRES on a tridiagonal Toeplitz linear system. II
Cites Work
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- Comparison of splittings used with the conjugate gradient algorithm
- Expressions and bounds for the GMRES residual
- Further results on the convergence behavior of conjugate-gradients and Ritz values
- The worst-case GMRES for normal matrices
- Über eine Verallgemeinerung einer Ungleichung von L.V. Kantorowitsch
- Least Squares Residuals and Minimal Residual Methods
- Iterative Solution Methods
- Estimates for Some Computational Techniques in Linear Algebra
- Methods of conjugate gradients for solving linear systems
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