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Numerical calculation of complex root functions / Irdina Sofea Zuraimi

In the field of mathematics, science and engineering, determining the root of a function in the form of complex root is an issue that is often encountered. Complex root could be determined theoretically and numerically. The aim of this project is to determine the best numerical method in computing t...

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Main Author: Zuraimi, Irdina Sofea
Format: Thesis
Language:English
Published: 2024
Subjects:
Algorithms
Online Access:https://ir.uitm.edu.my/id/eprint/106179/1/106179.pdf
https://ir.uitm.edu.my/id/eprint/106179/
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spelling my.uitm.ir.1061792024-11-30T22:55:56Z https://ir.uitm.edu.my/id/eprint/106179/ Numerical calculation of complex root functions / Irdina Sofea Zuraimi Zuraimi, Irdina Sofea Algorithms In the field of mathematics, science and engineering, determining the root of a function in the form of complex root is an issue that is often encountered. Complex root could be determined theoretically and numerically. The aim of this project is to determine the best numerical method in computing the complex roots. Three numerical methods will be studied which are: Complex Newton, Complex Secant, and Complex Halley’s. The tested function consists of different type of polynomial functions with complex roots. The results are analysed based on the number of iterations, CPU time and modulus of complex root. Numerical results demonstrates that, in terms of number of iterations, the best method is Complex Halley’s. While in terms of CPU times, the best method is Complex Newton method. 2024 Thesis NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/106179/1/106179.pdf Numerical calculation of complex root functions / Irdina Sofea Zuraimi. (2024) Degree thesis, thesis, Universiti Teknologi MARA, Terengganu.
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Algorithms
spellingShingle Algorithms
Zuraimi, Irdina Sofea
Numerical calculation of complex root functions / Irdina Sofea Zuraimi
description In the field of mathematics, science and engineering, determining the root of a function in the form of complex root is an issue that is often encountered. Complex root could be determined theoretically and numerically. The aim of this project is to determine the best numerical method in computing the complex roots. Three numerical methods will be studied which are: Complex Newton, Complex Secant, and Complex Halley’s. The tested function consists of different type of polynomial functions with complex roots. The results are analysed based on the number of iterations, CPU time and modulus of complex root. Numerical results demonstrates that, in terms of number of iterations, the best method is Complex Halley’s. While in terms of CPU times, the best method is Complex Newton method.
format Thesis
author Zuraimi, Irdina Sofea
author_facet Zuraimi, Irdina Sofea
author_sort Zuraimi, Irdina Sofea
title Numerical calculation of complex root functions / Irdina Sofea Zuraimi
title_short Numerical calculation of complex root functions / Irdina Sofea Zuraimi
title_full Numerical calculation of complex root functions / Irdina Sofea Zuraimi
title_fullStr Numerical calculation of complex root functions / Irdina Sofea Zuraimi
title_full_unstemmed Numerical calculation of complex root functions / Irdina Sofea Zuraimi
title_sort numerical calculation of complex root functions / irdina sofea zuraimi
publishDate 2024
url https://ir.uitm.edu.my/id/eprint/106179/1/106179.pdf
https://ir.uitm.edu.my/id/eprint/106179/
_version_ 1817847345051598848
score 13.239859

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