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 {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,...

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Vydané v:	Journal of engineering (Stevenage, England) Ročník 2014; číslo 10; s. 560 - 562
Hlavný autor:	Nepomuceno, Erivelton Geraldo
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	The Institution of Engineering and Technology 01.10.2014 Wiley
Predmet:	convergence of numerical methods convergent function sequence metric space numerical computation recursive function convergence recursive function fixed points recursive functions set theory convergent function sequence metric space numerical computation recursive functions convergence of numerical methods set theory recursive function fixed points recursive function convergence
ISSN:	2051-3305, 2051-3305
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