A Family of Optimal Cubic-Order Multiple-root Solvers and Their Dynamics
نویسندگان
چکیده
The complex dynamical analysis of the cubic-order iterative family is proposed to draw fractal images via M\"{o}bius conjugacy map applied a quadratic polynomial $(z-A) (z-B)$. resulting dynamics clearly visualized through various stability surfaces and parameter spaces using Mathematica.
منابع مشابه
Development of a Family of Optimal Quartic-Order Methods for Multiple Roots and Their Dynamics
In this paper, we develop a family of optimal fourth-order multipleroot solvers and illustrate the complex dynamical behavior related to the basins of attraction. Numerical examples are presented to demonstrate convergence behavior agreeing with theory. Mathematics Subject Classification: 65H05, 65H99
متن کاملDrawing Parameter Spaces of Optimal Cubic-order Multiple-zero Finder
The complex dynamical analysis of the cubic-order iterative family is made to draw the fractal images by means of Möbius conjugacy map applied to a prototype polynomial of the form (z − A) (z − B) . The related dynamics is best displayed through various stability surfaces and parameter spaces.
متن کاملA Class of Three-Step Derivative-Free Root Solvers with Optimal Convergence Order
A class of three-step eighth-order root solvers is constructed in this study. Our aim is fulfilled by using an interpolatory rational function in the third step of a three-step cycle. Each method of the class reaches the optimal efficiency index according to the Kung-Traub conjecture concerning multipoint iterative methods without memory. Moreover, the class is free from derivative calculation ...
متن کاملOn Jarratt’s Family of Optimal Fourth-order Iterative Methods and Their Dynamics
P. Jarratt has developed a family of fourth-order optimal methods. He suggested two members of the family. The dynamics of one of those was discussed previously. Here we show that the family can be written using a weight function and analyze all members of the family to find the best performer.
متن کاملa genre analytic study of research papers written by bilingual writers and their beliefs: a case of persian-english writers
تحقیق حاضر گزارشی است از تحلیل بخش مقدمه دو دسته از مقالات که عبارتند از: 11 مقاله از دو نویسنده دوزبانه فارسی زبان, که شامل مقدمه 4 مقاله به زبان انگلیسی و چاپ شده در مجلات بین المللی, مقدمه 3 مقاله به زبان انگلیسی و 4 مقاله به زبان فارسی چاپ شده در مجلات داخلی می شود؛ و 12 مقاله از محققان خارجی که در مجله applied linguistics به چاپ رسیده است. مبنای تئوری این تحلیل ها نظریه سوئلز (1990) یا هما...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Pure and Applied Mathematics
سال: 2023
ISSN: ['1307-5543']
DOI: https://doi.org/10.29020/nybg.ejpam.v16i3.4529