Shortcomings analysis of iterative methods to solve ill-condition systems of linear equations / Nur Nabil Nadiah Elias

An iterative method is a mathematical procedure in computational mathematics. It had been used to generate a sequence of improving approximation solutions for problems by using an initial guess where nth approximation is derived from the previous one. In this research, three iterative method which a...

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Main Author: Elias, Nur Nabil Nadiah
Format: Student Project
Language:en
Published: 2020
Subjects:
Online Access:https://ir.uitm.edu.my/id/eprint/38974/1/38974.pdf
https://ir.uitm.edu.my/id/eprint/38974/
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author Elias, Nur Nabil Nadiah
author_facet Elias, Nur Nabil Nadiah
author_sort Elias, Nur Nabil Nadiah
building Tun Abdul Razak Library
collection Institutional Repository
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
continent Asia
country Malaysia
description An iterative method is a mathematical procedure in computational mathematics. It had been used to generate a sequence of improving approximation solutions for problems by using an initial guess where nth approximation is derived from the previous one. In this research, three iterative method which are the Jacobi method, the Gauss-Seidel method and the Successive Over-Relaxation had been used. The Jacobi method, the Gauss-Seidel method and the Successive Over-Relaxation will be used to solve the ill- conditioned linear systems. This study is conducted to assess the performance of these iterative methods by means of numerical studies. This is to provide satisfactory explanation on the convergence problems and also an insight on how these iterative methods work.
format Student Project
id my.uitm.ir-38974
institution Universiti Teknologi Mara
language en
publishDate 2020
record_format eprints
spelling my.uitm.ir-389742020-12-10T00:36:14Z https://ir.uitm.edu.my/id/eprint/38974/ Shortcomings analysis of iterative methods to solve ill-condition systems of linear equations / Nur Nabil Nadiah Elias Elias, Nur Nabil Nadiah Analysis Electronic Computers. Computer Science Algorithms An iterative method is a mathematical procedure in computational mathematics. It had been used to generate a sequence of improving approximation solutions for problems by using an initial guess where nth approximation is derived from the previous one. In this research, three iterative method which are the Jacobi method, the Gauss-Seidel method and the Successive Over-Relaxation had been used. The Jacobi method, the Gauss-Seidel method and the Successive Over-Relaxation will be used to solve the ill- conditioned linear systems. This study is conducted to assess the performance of these iterative methods by means of numerical studies. This is to provide satisfactory explanation on the convergence problems and also an insight on how these iterative methods work. 2020-01 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/38974/1/38974.pdf Shortcomings analysis of iterative methods to solve ill-condition systems of linear equations / Nur Nabil Nadiah Elias. (2020) [Student Project] (Unpublished)
spellingShingle Analysis
Electronic Computers. Computer Science
Algorithms
Elias, Nur Nabil Nadiah
Shortcomings analysis of iterative methods to solve ill-condition systems of linear equations / Nur Nabil Nadiah Elias
title Shortcomings analysis of iterative methods to solve ill-condition systems of linear equations / Nur Nabil Nadiah Elias
title_full Shortcomings analysis of iterative methods to solve ill-condition systems of linear equations / Nur Nabil Nadiah Elias
title_fullStr Shortcomings analysis of iterative methods to solve ill-condition systems of linear equations / Nur Nabil Nadiah Elias
title_full_unstemmed Shortcomings analysis of iterative methods to solve ill-condition systems of linear equations / Nur Nabil Nadiah Elias
title_short Shortcomings analysis of iterative methods to solve ill-condition systems of linear equations / Nur Nabil Nadiah Elias
title_sort shortcomings analysis of iterative methods to solve ill-condition systems of linear equations / nur nabil nadiah elias
topic Analysis
Electronic Computers. Computer Science
Algorithms
url https://ir.uitm.edu.my/id/eprint/38974/1/38974.pdf
https://ir.uitm.edu.my/id/eprint/38974/
url_provider http://ir.uitm.edu.my/