Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via pfaffians

Author(s):  
Ya-Jie Liu ◽  
Xiang-Ke Chang ◽  
Yi He ◽  
Xing-Biao Hu
2001 ◽  
Vol 3 (1) ◽  
pp. 6
Author(s):  
Mikhail D. Mikhailov ◽  
Renato M. Cotta

1993 ◽  
Vol 179 (2) ◽  
pp. 111-115 ◽  
Author(s):  
V. Papageorgiou ◽  
B. Grammaticos ◽  
A. Ramani

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Arnak Poghosyan

We consider the convergence acceleration of the Krylov-Lanczos interpolation by rational correction functions and investigate convergence of the resultant parametric rational-trigonometric-polynomial interpolation. Exact constants of asymptotic errors are obtained in the regions away from discontinuities, and fast convergence of the rational-trigonometric-polynomial interpolation compared to the Krylov-Lanczos interpolation is observed. Results of numerical experiments confirm theoretical estimates and show how the parameters of the interpolations can be determined in practice.


2020 ◽  
Vol 62 (3) ◽  
pp. 30-38
Author(s):  
Achilleas Marinakis ◽  
Panagiotis J. Papakanellos ◽  
George Fikioris

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