1. Home
  2. Fundamental sciences
  3. Mathematics
  4. Interpolation, approximation and rational extrapolation

  5. Rational extrapolation

Article | REF: AF1390 V1

Interpolation, approximation and rational extrapolation

Authors: Claude BREZINSKI, Michela REDIVO-ZAGLIA

Publication date: October 10, 2013

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!

Français

3. Rational extrapolation

Let (S n ) be a sequence of numbers, vectors or matrices that converges to S. When its convergence is slow, we transform it, without modifying it, into a new sequence (T n ) which, under certain assumptions, converges faster to the same limit, i.e. such that

limn→∞‖Tn−S‖‖Sn−S‖=0.

Such methods are called sequence transformations...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource.
Click here to request your free trial access!

Already subscribed? Log in!

The Ultimate Scientific and Technical Reference

A Comprehensive Knowledge Base, with over 1,200 authors and 100 scientific advisors
+ More than 10,000 articles and 1,000 how-to sheets, over 800 new or updated articles every year
From design to prototyping, right through to industrialization, the reference for securing the development of your industrial projects

This article is included in

Mathematics

This offer includes:

Knowledge Base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

Practical Path

Operational and didactic, to guarantee the acquisition of transversal skills

Doc & Quiz

Interactive articles with quizzes, for constructive reading

Subscribe now!

Ongoing reading
Rational extrapolation
Outline