ACCELERATION METHODS FOR VECTOR SEQUENCES

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:38

Article

OSADA, N

关键词: CONVERGENCE ACCELERATION;    EXTRAPOLATION;    VECTOR SEQUENCE;    LOGARITHMICALLY CONVERGENT;    NEWTON METHOD;    SIMPLIFIED NEWTON METHOD;    SINGULAR PROBLEM;   

DOI  :  10.1016/0377-0427(91)90182-J

来源: Elsevier

【 摘 要 】

The purpose of this paper is to propose acceleration methods for certain logarithmically convergent vector sequences. These methods are obtained by extending acceleration methods for scalars: Lubkin's W transform, the theta-algorithm and the rho-algorithm. Applied to a system of singular equations, new methods are compared with the vector epsilon-algorithm, the minimal polynomial extrapolation, and the generalized theta-algorithm of Brezinski. Theoretical results are also given.

【 授权许可】

Free