Extrapolation methods for vector sequences

DOI10.1007/BF01385521zbMath0765.65004OpenAlexW2073218673MaRDI QIDQ1203405

Peter R. Graves-Morris

Publication date: 8 February 1993

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133633

zbMATH Keywords

convergenceMoore-Penrose inversevector epsilon algorithmvector sequencesvector Padé approximantnumerical performanceAitken's delta square method

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Complexity and performance of numerical algorithms (65Y20)

Related Items

A review of Padé methods for the acceleration of convergence of a sequence of vectors, Hybrid vector transformations, Row convergence theorems for vector-valued Padé approximants, A new approach to acceleration of convergence of a sequence of vectors, On the convergence of rows of vector Padé approximants, Acceleration of the abstract fixpoint computation in numerical program analysis, The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods, Geometric approach to the parallel sum of vectors and application to the vector \(\varepsilon \)-algorithm, An extension of a row convergence theorem for vector Padé approximants, Introduction to the determinantal formulae for the Levin-type algorithms, A vector generalisation of de Montessus' theorem for the case of polar singularities on the boundary, Iterative residual-based vector methods to accelerate fixed point iterations, Similarities of the integral Padé approximants. II, Solution of integral equations using Padé type approximants, Abstract Fixpoint Computations with Numerical Acceleration Methods, On a representation of vector continued fractions, Similarities of the integral Padé approximants, Introduction to the improved functional epsilon algorithm, The rise and fall of the vector epsilon algorithm

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