Acceleration of Series,
Abstract
The rate of convergence of infinite series can be accelerated by a suitable splitting of each term into two parts and then combining the second part of the n-th term with the first part of the (n+1)-th term to get a new series and leaving the first part of the first term as an 'orphan'. Repeating this process an infinite number of times, the series will often approach zero, and one obtains the series of orphans, which may converge faster than the original series. Heuristics for determining the splits are given.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1974
- Accession Number
- ADA011837
Entities
People
- R. W. Gosper
Organizations
- Massachusetts Institute of Technology