Convergence of recursive functions on computers

Convergence of recursive functions on computers

A theorem is presented which has applications in the numerical computation of fixed points of recursive functions. If a sequence of functions {f(n)} is convergent on a metric space I ⊆ ℝ, then it is possible to observe this behaviour on the set 𝔻 ⊂ ℚ of all numbers represented in a computer. However...

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Bibliographic Details
Main Author: Erivelton Geraldo Nepomuceno
Format: Article
Language:English
Published: Wiley 2014-10-01
Series:The Journal of Engineering
Subjects:
recursive functions
convergence of numerical methods
set theory
recursive function convergence
numerical computation
recursive function fixed points
convergent function sequence
metric space
Online Access:http://digital-library.theiet.org/content/journals/10.1049/joe.2014.0228

Internet

http://digital-library.theiet.org/content/journals/10.1049/joe.2014.0228

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