An activity on fixed point

Yıl 2021, Cilt: 4 Sayı: 1, 1 - 5, 06.02.2021

Süheyla Elmas

Öz

In this study, Newton methot;
𝑥𝑛+1 𝑓′(𝑥𝑛)= 𝑥𝑛 .𝑓′(𝑥𝑛) -- f(𝑥𝑛)

is also an example of fixed point iteration, for the equation, We begin by asking whether the equation x = f(x) has a solution. We have proved the importance of the Newton method once again.

Anahtar Kelimeler

Functions , fixed point iterations , convergance speed , Newton methot and fixed point

Kaynakça

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• 10. Y .Soykan, "Fonksiyonel Analiz", Nobel Yayın Dağıtım Ankara. Turkey, 2008