Nepomuceno, Erivelton (2014) Convergence of recursive functions on computers. Journal of Engineering, 10. pp. 560-562. ISSN 2051-3305
Preview
EN_convergence.pdf
Download (81kB) | Preview
Abstract
A theorem is presented which has applications in the numerical computation of fixed points of recursive functions. If a sequence of
functions {fn} 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, as D is not complete, the representation of fn on D is subject to an error. Then fn and fm are considered equal when its
differences computed on D are equal or lower than the sum of error of each fn and fm. An example is given to illustrate the use of the theorem.
Item Type: | Article |
---|---|
Keywords: | Convergence; recursive; functions; computers; |
Academic Unit: | Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute |
Item ID: | 16836 |
Identification Number: | 10.1049/joe.2014.0228 |
Depositing User: | Erivelton Nepomuceno |
Date Deposited: | 10 Jan 2023 15:34 |
Journal or Publication Title: | Journal of Engineering |
Publisher: | IET |
Refereed: | Yes |
Related URLs: | |
URI: | https://mu.eprints-hosting.org/id/eprint/16836 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
Repository Staff Only (login required)
Downloads
Downloads per month over past year