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Finite basin's area fractal via complex newton's method
Other Title(s)
كسيريات منتهية المساحة بواسطة طريقة نيوتن المركبة
Author
Source
Kirkuk University Journal-Scientific Studies
Issue
Vol. 13, Issue 1 (31 Mar. 2018), pp.262-272, 11 p.
Publisher
Kirkuk University College of Science
Publication Date
2018-03-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Topics
Abstract AR
في هذه الدراسة اوضحنا عند تطبيق طريق نيوتن المركبة على الدالة المركبة الأسية فإن أحواض الجذور تكون ذات مساحة منتهية.
Abstract EN
In this study, we explain that when we applied Newton’s method on F (z)= P ( z) eQ(z), the basins of roots have finite area when n 3 , where P (z) z and Q (z) zn.
Using MATLAB we obtained nice fractals in order to prove the finite basins area when n ≥ 3.
The basins for each root in Julia set is finite area of n ≥ 3.
If n is even means the attracting petals of the fixed points zero and infinity are symmetric about x and y axes.
American Psychological Association (APA)
Murad, Zaynab Wali. 2018. Finite basin's area fractal via complex newton's method. Kirkuk University Journal-Scientific Studies،Vol. 13, no. 1, pp.262-272.
https://search.emarefa.net/detail/BIM-945382
Modern Language Association (MLA)
Murad, Zaynab Wali. Finite basin's area fractal via complex newton's method. Kirkuk University Journal-Scientific Studies Vol. 13, no. 1 (Mar. 2018), pp.262-272.
https://search.emarefa.net/detail/BIM-945382
American Medical Association (AMA)
Murad, Zaynab Wali. Finite basin's area fractal via complex newton's method. Kirkuk University Journal-Scientific Studies. 2018. Vol. 13, no. 1, pp.262-272.
https://search.emarefa.net/detail/BIM-945382
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 271-272
Record ID
BIM-945382