Non-commutative extrapolation algorithms
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Publication:1334260
DOI10.1007/BF02140685zbMath0812.65003OpenAlexW2063793091MaRDI QIDQ1334260
Publication date: 17 October 1994
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02140685
epsilon algorithmSylvester's identitysequence transformationsdesignantnon-commutative extrapolation algorithms
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Extrapolation to the limit, deferred corrections (65B05) Clifford algebras, spinors (15A66)
Related Items (17)
New vector sequence transformations ⋮ An algebraic approach to the vector \(\varepsilon\)-algorithm ⋮ Extrapolation algorithms and Padé approximations: A historical survey ⋮ A derivation of extrapolation algorithms based on error estimates ⋮ Shanks Sequence Transformations and Anderson Acceleration ⋮ On the kernel of vector \(\varepsilon \)-algorithm and related topics ⋮ Matrix and vector sequence transformations revisited ⋮ 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 ⋮ 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 ⋮ Matrix Shanks Transformations ⋮ Vector Padé-type approximants and vector Padé approximants ⋮ On vector Hankel determinants ⋮ What is a vector Hankel determinant
Cites Work
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- Vector valued rational interpolants. I
- Matrix representations of Clifford algebras
- A general extrapolation algorithm
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- From matrix to vector Padé approximants
- Vector-valued, rational interpolants. III
- Some results in the theory of the vector \(\varepsilon\)-algorithm
- Vector continued fractions
- A note on the \(\epsilon\)-algorithm
- Continued fractions whose coefficients obey a non-commutative law of multiplication
- Vector-valued Rational Interpolants II
- Generalized neville type extrapolation schemes
- On the Solution of Systems of Equations by the Epsilon Algorithm of Wynn
- Les déterminants sur un corps non commutatif
- On a Device for Computing the e m (S n ) Transformation
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