On Remainder Estimates for Levin-type Sequence Transformations
نویسنده
چکیده
Remainder estimates for Levin-type sequence transformations are discussed. A new remainder estimate is introduced which is related to the Kummer transformation. Test cases are presented which show that the new remainder estimate can enhance the performance of Levin-type sequence transformations considerably.
منابع مشابه
Scalar Levin-type Sequence Transformations
Sequence transformations are important tools for the convergence acceleration of slowly convergent scalar sequences or series and for the summation of divergent series. The basic idea is to construct from a given sequence { sn} a new sequence { s ′ n} = T ({ sn} ) where each s ′ n depends on a finite number of elements sn1 , . . . , snm . Often, the sn are the partial sums of an infinite series...
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