Comparisons between Jacobi method, Gauss Seidel method and Successive Over Relaxation method / Wan Nashratudiniah Wan Hamad

In numerical analysis there is a system of linear equations which is form from just a set of two or more linear equations. Iterative methods formally produce the solution of a linear system after an infinite number of steps. Iterative methods can be competitive with direct methods as it provided the...

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Main Author: Wan Hamad, Wan Nashratudiniah
Format: Thesis
Language:English
Published: 2021
Subjects:
Online Access:https://ir.uitm.edu.my/id/eprint/77819/1/77819.pdf
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spelling my-uitm-ir.778192023-05-22T04:54:18Z Comparisons between Jacobi method, Gauss Seidel method and Successive Over Relaxation method / Wan Nashratudiniah Wan Hamad 2021-01 Wan Hamad, Wan Nashratudiniah Analysis Analytical methods used in the solution of physical problems Instruments and machines Electronic Computers. Computer Science Algorithms In numerical analysis there is a system of linear equations which is form from just a set of two or more linear equations. Iterative methods formally produce the solution of a linear system after an infinite number of steps. Iterative methods can be competitive with direct methods as it provided the number of iteration that are require to converge either independent of n or scale or scales sub linearly with respect to n. For instances of large sparse matrices, direct methods may be disadvantageous due to the sudden replacement, although exceptionally competent direct solution can be come up with sparse matrices recommending special differential equation. Iterative methods are made achievable by preconditioning techniques that will be address in this project. The iterative methods that will be evaluated in this project are Jacobian method, Gauss Seidel method and Successive Over Relaxation method. 2021-01 Thesis https://ir.uitm.edu.my/id/eprint/77819/ https://ir.uitm.edu.my/id/eprint/77819/1/77819.pdf text en public degree Universiti Teknologi MARA, Terengganu Faculty of Computer and Mathematical Sciences Zull Pakkal, Norhaslinda
institution Universiti Teknologi MARA
collection UiTM Institutional Repository
language English
advisor Zull Pakkal, Norhaslinda
topic Analysis
Analytical methods used in the solution of physical problems
Instruments and machines
Analysis
Algorithms
spellingShingle Analysis
Analytical methods used in the solution of physical problems
Instruments and machines
Analysis
Algorithms
Wan Hamad, Wan Nashratudiniah
Comparisons between Jacobi method, Gauss Seidel method and Successive Over Relaxation method / Wan Nashratudiniah Wan Hamad
description In numerical analysis there is a system of linear equations which is form from just a set of two or more linear equations. Iterative methods formally produce the solution of a linear system after an infinite number of steps. Iterative methods can be competitive with direct methods as it provided the number of iteration that are require to converge either independent of n or scale or scales sub linearly with respect to n. For instances of large sparse matrices, direct methods may be disadvantageous due to the sudden replacement, although exceptionally competent direct solution can be come up with sparse matrices recommending special differential equation. Iterative methods are made achievable by preconditioning techniques that will be address in this project. The iterative methods that will be evaluated in this project are Jacobian method, Gauss Seidel method and Successive Over Relaxation method.
format Thesis
qualification_level Bachelor degree
author Wan Hamad, Wan Nashratudiniah
author_facet Wan Hamad, Wan Nashratudiniah
author_sort Wan Hamad, Wan Nashratudiniah
title Comparisons between Jacobi method, Gauss Seidel method and Successive Over Relaxation method / Wan Nashratudiniah Wan Hamad
title_short Comparisons between Jacobi method, Gauss Seidel method and Successive Over Relaxation method / Wan Nashratudiniah Wan Hamad
title_full Comparisons between Jacobi method, Gauss Seidel method and Successive Over Relaxation method / Wan Nashratudiniah Wan Hamad
title_fullStr Comparisons between Jacobi method, Gauss Seidel method and Successive Over Relaxation method / Wan Nashratudiniah Wan Hamad
title_full_unstemmed Comparisons between Jacobi method, Gauss Seidel method and Successive Over Relaxation method / Wan Nashratudiniah Wan Hamad
title_sort comparisons between jacobi method, gauss seidel method and successive over relaxation method / wan nashratudiniah wan hamad
granting_institution Universiti Teknologi MARA, Terengganu
granting_department Faculty of Computer and Mathematical Sciences
publishDate 2021
url https://ir.uitm.edu.my/id/eprint/77819/1/77819.pdf
_version_ 1783736172389859328