An algebraic approach to the vector \(\varepsilon\)-algorithm

DOI10.1007/BF02142505zbMath0852.65004MaRDI QIDQ1911459

Ahmed Salam

Publication date: 5 December 1996

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

zbMATH Keywords

Clifford algebralinear algebraic equationsvector epsilon algorithmreduction to block triangular form

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Extrapolation to the limit, deferred corrections (65B05) Clifford algebras, spinors (15A66) Quadratic spaces; Clifford algebras (11E88)

Related Items (9)

On the kernel of vector \(\varepsilon \)-algorithm and related topics ⋮ 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 ⋮ Convergence acceleration of Kaczmarz's method ⋮ Convergence acceleration during the 20th century ⋮ A survey of Shanks' extrapolation methods and their applications ⋮ On vector Hankel determinants ⋮ The epsilon algorithm and related topics ⋮ What is a vector Hankel determinant

Cites Work

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• Vector valued rational interpolants. I
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• What is a vector Hankel determinant
• Non-commutative extrapolation algorithms
• From matrix to vector Padé approximants
• A general extrapolation procedure revisited
• Some results in the theory of the vector \(\varepsilon\)-algorithm
• Vector continued fractions
• Generalized neville type extrapolation schemes
• Matrix and vector sequence transformations revisited
• On the Solution of Systems of Equations by the Epsilon Algorithm of Wynn
• On a Device for Computing the e m (S n ) Transformation

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