EPSfun

The simplified topological ε-algorithms: software and applications.. In this paper, we describe the Matlab toolbox EPSfun for implementing and using the simplified topological ε-algorithms for accelerating the convergence of sequences of elements of a vector space. The functions for other similar algorithms are also provided. We give applications to the solution of linear and nonlinear systems of equations and to the computation of matrix functions.


References in zbMATH (referenced in 17 articles )

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  1. Al Mugahwi, Mohammed; De la Cruz Cabrera, Omar; Noschese, Silvia; Reichel, Lothar: Functions and eigenvectors of partially known matrices with applications to network analysis (2021)
  2. Brezinski, C.; Redivo-Zaglia, M.: A survey of Shanks’ extrapolation methods and their applications (2021)
  3. Brezinski, Claude; Redivo-Zaglia, Michela: Some unusual results on extrapolation methods (2020)
  4. Buccini, Alessandro; Dell’Acqua, Pietro; Donatelli, Marco: A general framework for ADMM acceleration (2020)
  5. Chehab, Jean-Paul; Raydan, Marcos: Geometrical inverse matrix approximation for least-squares problems and acceleration strategies (2020)
  6. Cipolla, Stefano; Redivo-Zaglia, Michela; Tudisco, Francesco: Extrapolation methods for fixed-point multilinear PageRank computations. (2020)
  7. Saâdaoui, Foued: Quadratic extrapolation for accelerating convergence of the EM fixed point problem (2020)
  8. Brezinski, Claude; Redivo-Zaglia, Michela: Matrix Shanks transformations (2019)
  9. Brezinski, Claude; Redivo-Zaglia, Michela: The genesis and early developments of Aitken’s process, Shanks’ transformation, the (\varepsilon)-algorithm, and related fixed point methods (2019)
  10. Gander, Walter; Shi, Qiquan: Matrix completion with (\varepsilon)-algorithm. In memory of Peter Wynn (1931--2017) (2019)
  11. Brezinski, Claude; Redivo-Zaglia, Michela; Saad, Yousef: Shanks sequence transformations and Anderson acceleration (2018)
  12. Brezinski, Claude; Redivo-Zaglia, Michela: The simplified topological (\varepsilon)-algorithms: software and applications (2017)
  13. Brezinski, Claude; Redivo-Zaglia, Michela: Shanks function transformations in a vector space (2017)
  14. Gazzola, Silvia; Karapiperi, Anna: Image reconstruction and restoration using the simplified topological (\varepsilon)-algorithm (2016)
  15. Jbilou, K.; Messaoudi, A.: Block extrapolation methods with applications (2016)
  16. Jbilou, K.; Sadok, H.: Matrix polynomial and epsilon-type extrapolation methods with applications (2015)
  17. Brezinski, Claude; Redivo-Zaglia, Michela: The simplified topological (\varepsilon)-algorithms for accelerating sequences in a vector space (2014)