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Dergiler / Results in Nonlinear Analysis / 2026 / 2022 - Cilt 5, Sayı 4

On the convergence of the sixth order Homeier like method in Banach spaces

Suma P B(manipal institute of technology)
M. E. Shobha(Manipal Institute of Technology)
Santhosh George(National Institute of Technology Karnataka)
Sayfa
452–458
Yayın Tarihi
2022-12-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space.
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Temel Bulgular & Veri:Assumptions only on first and second derivatives are used to obtain a sixth order convergence.
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Sonuç & Katkı:Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Frechet derivative · Frechet derivative · Homeier method

Abstract

A sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space. Assumptions only on first and second derivatives are used to obtain a sixth order convergence. Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.

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Bu Makaleye Atıf Yap

B, S. P., Shobha, M. E., George, S. (2022). On the convergence of the sixth order Homeier like method in Banach spaces. Results in Nonlinear Analysis, 2022 - Cilt 5, Sayı 4, 452–458. https://doi.org/10.53006/rna.1138201

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Kaynakça (16)

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