A new approach to acceleration of convergence of a sequence of vectors

DOI10.1007/BF02142496zbMath0852.65003OpenAlexW2095569524MaRDI QIDQ1911449

Peter R. Graves-Morris

Publication date: 5 December 1996

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02142496

zbMATH Keywords

convergence accelerationrational approximationvector sequence

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Padé approximation (41A21) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (7)

Row convergence theorems for vector-valued Padé approximants ⋮ Cayley's theorem and its application in the theory of vector Padé approximants ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ Problems and progress in vector Padé approximation ⋮ Similarities of the integral Padé approximants. II ⋮ Solution of integral equations using Padé type approximants ⋮ Similarities of the integral Padé approximants

Cites Work

• Vector valued rational interpolants. I
• Row convergence theorems for generalised inverse vector-valued Padé approximants
• Extrapolation methods for vector sequences
• The umbral calculus
• The rise and fall of the vector epsilon algorithm
• A review of Padé methods for the acceleration of convergence of a sequence of vectors
• Lanczos-type algorithms for solving systems of linear equations
• Vector-valued, rational interpolants. III
• Some convergence and divergence theorems for Hermite-Padé approximants
• Cayley's theorem and its application in the theory of vector Padé approximants
• A note on the \(\epsilon\)-algorithm
• Acceleration Techniques for Iterated Vector and Matrix Problems
• Extrapolation Methods for Vector Sequences
• Generalised discriminants

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