On the kernel of sequence transformations

Brezinski, 1971, Accélération de suites á convergence logarithmique, C.R. Acad. Sci. Paris, 273 A, 727 Brezinski, 1982, Some new convergence acceleration methods, Math. Comput., 39, 133, 10.1090/S0025-5718-1982-0658218-6 C. Brezinski and A.C. Matos, A derivation of extrapolation algorithms based on error estimates. J. Comput. Appl. Math. (to appear). Brezinski, 1991 Brezinski, 1994, A general extrapolation procedure revisited, Adv. Comput. Math., 2, 461, 10.1007/BF02521609 Cordellier, 1977, Caractérisation des suites que la première étape du \Gj-algorithme transforme en suites constantes, C.R. Acad. Sci. Paris, 284 A, 389 Overholt, 1965, Extended Aitken acceleration, BIT, 5, 122, 10.1007/BF01939615 Weniger, 1989, Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series, Computer Physics Reports, 10, 189, 10.1016/0167-7977(89)90011-7 Wimp, 1984