On condition numbers of the Shanks transformation
From MaRDI portal
Publication:5949504
DOI10.1016/S0377-0427(00)00561-6zbMath0996.65001MaRDI QIDQ5949504
Publication date: 23 October 2002
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
convergence accelerationcondition numbersdeterminantal formulaepsilon algorithmtotally monotonic (oscillating) sequences
Related Items (2)
Survey of numerical stability issues in convergence acceleration ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Padé-type approximation and general orthogonal polynomials
- Aitken acceleration of some alternating series
- On the propagation of error in certain non-linear algorithms
- Sequence transformations and their applications
- A general extrapolation algorithm
- Two new classes of nonlinear transformations for accelerating the convergence of infinite integrals and series
- Extrapolation methods theory and practice
- Accélération de la convergence en analyse numérique
- On the stability of the \(\mathcal J\) transformation
- On condition numbers of some quasi-linear transformations
- Further results on convergence and stability of a generalization of the Richardson extrapolation process
- Analytical and numerical studies of the convergence behavior of the \({\mathcal J}\) transformation
- On the Convergence and Stability of the Epsilon Algorithm
- Convergence Analysis for a Generalized Richardson Extrapolation Process with an Application to the d (1) -Transformation on Convergent and Divergent Logarithmic Sequences
- Development of non-linear transformations for improving convergence of sequences
- Singular rules for certain non-linear algorithms
- XX.—Studies in Practical Mathematics. II. The Evaluation of the Latent Roots and Latent Vectors of a Matrix
- On a Device for Computing the e m (S n ) Transformation
This page was built for publication: On condition numbers of the Shanks transformation
