Orbits of period two in the family of a multipoint variant of Chebyshev-Halley family

B Campos, A Cordero, JR Torregrosa, P Vindel - Numerical Algorithms, 2016 - Springer
The study of the dynamical behaviour of the operators defined by iterative methods help us
to know more deeply the regions where these methods have a good performance. In this …

[PDF][PDF] New Modification of Chebyshev's Method with Seventh-Order Convergence

MN Muhaijir, M Soleh, E Safitri - Applied Mathematical Sciences, 2017 - academia.edu
In this paper, based on Chebyshev's method, a new family of seventhorder methods for
solving nonlinear equations is derived. This method includes finite difference and Lagrange …

Modifikasi metode Schroder tanpa turunan kedua dengan orde konvergensi empat

RY Putri, W Wartono - AKSIOMA: Jurnal Matematika dan …, 2020 - journal.upgris.ac.id
Metode Schroder merupakan metode iterasi berode dua yang digunakan untuk menentukan
akar-akar persamaan nonlinear. Artikel ini membahas modifikasi metode Schroder untuk …

[PDF][PDF] Variants of Chebyshev Method with Ninth-Order Convergence for Solving Nonlinear Equations

MN Muhaijir, M Imran, MDH Gamal - Global Journal of Pure and …, 2017 - academia.edu
This paper develops variants Chebyshev method by applying Hermite interpolation and
finite difference to eliminate the second derivative appearing in the Chebyshev method. We …

Modifikasi Metode Householder Tanpa Turunan Kedua Dengan Orde Konvergensi Optimal

W WARTONO, D ELRISKA - Jurnal Matematika UNAND, 2021 - jmua.fmipa.unand.ac.id
Metode Householder merupakan metode iterasi berorde konvergensi tiga yang digunakan
untuk menyelesaikan persamaan nonliner. Selain itu, metode Householder menggunakan …

[PDF][PDF] Combination of Newton-Halley-Chebyshev Iterative Methods Without Second Derivatives

A Syakir, M Imran, MDH Gamal - Int. J. Theor. Appl. Math, 2017 - academia.edu
This article discusses the modification of three step iteration method to solve nonlinear
equations f (x)= 0. The new iterative method is formed from a combination of Newton, Halley …

[PDF][PDF] Second derivative free modification with a parameter for Chebyshev's method

J Jayakumar, P Jayasilan - International Journal of Computational …, 2013 - researchgate.net
Chebyshev's method has not got much attention in recent years compared to Newton's
method. Some of the papers which appeared recently discuss modification of Chebyshev's …

[PDF][PDF] On the geometric construction of the Jarratt-Gander's class and its relationship with other methods

CN Anal - researchgate.net
This paper establishes a geometric interpretation of the methods obtained from a two-point
Jarratt-Gander type class and then these are compared with other kinds of methods to …

วิธี การ ทำ ซ้ำ อันดับ หก แบบ ใหม่ ที่ มี สาม ขั้น ตอน สำหรับ การ แก้ สม การ ไม่ เชิง เส้น

S Payakkarak, T Chante, A Kaewpikul… - Journal of Science …, 2023 - li01.tci-thaijo.org
This paper presented a new three-step iterative method, free from second derivative for
solving nonlinear equation. The idea was derived from the two third-order convergent …

On geometric constructions of two points methods for simple roots of nonlinear equations

CEC Román - Bulletin mathématique de la Société des Sciences …, 2020 - JSTOR
The object of the present work is to give some geometric constructions of methods of two
points for simple roots. Initially, two similar forms to the fourth order Chun's class are …