Non-commutative extrapolation algorithms

DOI10.1007/BF02140685zbMath0812.65003OpenAlexW2063793091MaRDI QIDQ1334260

Ahmed Salam

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

zbMATH Keywords

epsilon algorithmSylvester's identitysequence transformationsdesignantnon-commutative extrapolation algorithms

Mathematics Subject Classification ID

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vector valued rational interpolants. I
• Matrix representations of Clifford algebras
• A general extrapolation algorithm
• Extrapolation methods theory and practice
• Computation of the eigenelements of a matrix by the \(\varepsilon\)- algorithm
• 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

This page was built for publication: Non-commutative extrapolation algorithms