Actions for Acceleration of convergence of vector sequences

Email RIS file
Bookmark
Report an Issue

Acceleration of convergence of vector sequences

Author
Ford, W. F.
Published
Dec 1, 1983.
Physical Description
1 electronic document
Additional Creators
Sidi, A. and Smith, D. A.
Online Version

Availability

I Want It
I Want It

Finding items...

Restrictions on Access
Unclassified, Unlimited, Publicly available.
Free-to-read Unrestricted online access
Summary
A general approach to the construction of convergence acceleration methods for vector sequence is proposed. Using this approach, one can generate some known methods, such as the minimal polynomial extrapolation, the reduced rank extrapolation, and the topological epsilon algorithm, and also some new ones. Some of the new methods are easier to implement than the known methods and are observed to have similar numerical properties. The convergence analysis of these new methods is carried out, and it is shown that they are especially suitable for accelerating the convergence of vector sequences that are obtained when one solves linear systems of equations iteratively. A stability analysis is also given, and numerical examples are provided. The convergence and stability properties of the topological epsilon algorithm are likewise given.
Other Subject(s)
Collection
NASA Technical Reports Server (NTRS) Collection.
Note
Document ID: 19840005817.
Accession ID: 84N13885.
NASA-TP-2193.
E-1719.
NAS 1.60:2193.
Terms of Use and Reproduction
No Copyright.
View MARC record | catkey: 15710894