Matrix and vector sequence transformations revisited

DOI10.1017/S0013091500019295zbMath0835.65001MaRDI QIDQ4863104

Claude Brezinski, Ahmed Salam

Publication date: 15 April 1996

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

convergence accelerationdeterminantsdifference operatorsextrapolation methodseliminationsystem of linear equationssequence transformations

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05)

Related Items (11)

Block extrapolation methods with applications ⋮ New vector sequence transformations ⋮ A general extrapolation procedure revisited ⋮ An algebraic approach to the vector \(\varepsilon\)-algorithm ⋮ Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory ⋮ A derivation of extrapolation algorithms based on error estimates ⋮ A Schur complement approach to a general extrapolation algorithm ⋮ Convergence acceleration during the 20th century ⋮ Vector and matrix sequence transformations based on biorthogonality ⋮ Vector sequence transformations: Methodology and applications to linear systems ⋮ Biorthogonal vector sequence transformations and Padé approximation of vector series

Cites Work

• Unnamed Item
• Sequences of transformations and triangular recursion schemes, with applications in numerical analysis
• Other manifestations of the Schur complement
• A general extrapolation algorithm
• Construction of extrapolation processes
• About Henrici's transformation for accelerating vector sequences
• Non-commutative extrapolation algorithms
• A general extrapolation procedure revisited
• Some New Convergence Acceleration Methods
• Generalized neville type extrapolation schemes

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