Accession Number : AD0620107

Title :   ON THE CONVERGENCE AND STABILITY OF THE EPSILON ALGORITHM.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Wynn,P.

Report Date : JUN 1965

Pagination or Media Count : 57

Abstract : The epsilon-algorithm is a sequence-to-sequence convergence accelerating transformation. Using the theory of totally monotone sequences, qualitative assertions concerning the nature of the derived sequences are made. Asymptotic estimates for the members of the derived sequences are given for the cases in which the members of the original sequence can asymptotically be represented by means of Newton series or by Dirichlet series. A stability analysis of the epsilon-algorithm is carried out, and a short description of the smoothing effect of this algorithm is provided. (Author)

Descriptors :   (*SEQUENCES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS)), STABILITY, SERIES(MATHEMATICS), POLYNOMIALS, DETERMINANTS(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE