scholarly journals Shanks Sequence Transformations and Anderson Acceleration

SIAM Review ◽  
2018 ◽  
Vol 60 (3) ◽  
pp. 646-669 ◽  
Author(s):  
Claude Brezinski ◽  
Michela Redivo-Zaglia ◽  
Yousef Saad
Keyword(s):  
Anderson Acceleration ◽  
Sequence Transformations

scholarly journals Matrix and vector sequence transformations revisited

1995 ◽  
Vol 38 (3) ◽  
pp. 495-510 ◽  
Author(s):  
C. Brezinski ◽  
A. Salam
Keyword(s):  
Linear Equations ◽  
Convergence Acceleration ◽  
Difference Operators ◽  
Scalar Case ◽  
Extrapolation Methods ◽  
System Of Linear Equations ◽  
Vector Sequence ◽  
The Matrix ◽  
Sequence Transformations

Sequence transformations are extrapolation methods. They are used for the purpose of convergence acceleration. In the scalar case, such algorithms can be obtained by two different approaches which are equivalent. The first one is an elimination approach based on the solution of a system of linear equations and it makes use of determinants. The second approach is based on the notion of annihilation difference operators. In this paper, these two approaches are generalized to the matrix and the vector cases.

Operation theory and multiple sequence transformations

1941 ◽  
Vol 8 (1) ◽  
pp. 154-162 ◽  
Author(s):  
J. D. Hill ◽  
H. J. Hamilton
Keyword(s):  
Multiple Sequence ◽  
Sequence Transformations
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