Some results in the theory of the vector \(\varepsilon\)-algorithm

DOI10.1016/0024-3795(74)90010-XzbMath0273.65026OpenAlexW2051109461MaRDI QIDQ2264533

Claude Brezinski

Publication date: 1974

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(74)90010-x

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10)

Related Items

Non-commutative extrapolation algorithms, An algebraic approach to the vector \(\varepsilon\)-algorithm, Shanks Sequence Transformations and Anderson Acceleration, Computational methods of linear algebra, The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods, The simplified topological \(\varepsilon\)-algorithms: software and applications, Convergence acceleration of Kaczmarz's method, Numerical stability of a quadratic method for solving systems of non linear equations, Computation of the eigenelements of a matrix by the \(\varepsilon\)- algorithm, Particular rules for the vector \(\varepsilon\)-algorithm, Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme, Computation of Padé approximants and continued fractions, A-stable one-step methods with step-size control for stiff systems of ordinary differential equations, Vector-valued, rational interpolants. III

Cites Work

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• Vector continued fractions
• A note on the \(\epsilon\)-algorithm
• Continued fractions whose coefficients obey a non-commutative law of multiplication
• Acceleration Techniques for Iterated Vector and Matrix Problems
• On the Solution of Systems of Equations by the Epsilon Algorithm of Wynn
• Upon A Second Confluent Form of the Ɛ-Algorithm
• On a Device for Computing the e m (S n ) Transformation