International Journal of Mathematics and Mathematical Sciences
Volume 32 (2002), Issue 9, Pages 565-572
doi:10.1155/S0161171202013340

Acceleration of nonhyperbolic sequences of Mann

Mário M. Graça

Instituto Superior Técnico, Departamento Matemática, Av. Rovisco Pais, Lisboa 1049-001, Portugal

Abstract

Mann's sequences are difficult to accelerate in the presence of a nonhyperbolic fixed point. New accelerators are constructed for Mann's sequences which are useful even for other sets of very slowly convergent sequences.