On Ways To Improve Convergence Of Krylov Subspace Methods

"SNAP" atau "Solution by Null-space Approximation and Projection" ialah salah satu cara untuk menyelesaikan sistem linear apabila pekali matrik adalah besar dan "sparse". Objektifuya ialah Ulltuk mengatasi masalah penumpuan yang perlahan atau genangan yang disebabkan...

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Main Author: Al-Kharusi, Salim Abdullah Surur
Format: Thesis
Language:English
Published: 2008
Subjects:
Online Access:http://eprints.usm.my/31155/1/SALIM_ABDULLAH_SURUR_AL-KHARUSI.pdf
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spelling my-usm-ep.311552016-11-18T07:58:52Z On Ways To Improve Convergence Of Krylov Subspace Methods 2008-05 Al-Kharusi, Salim Abdullah Surur QA1 Mathematics (General) "SNAP" atau "Solution by Null-space Approximation and Projection" ialah salah satu cara untuk menyelesaikan sistem linear apabila pekali matrik adalah besar dan "sparse". Objektifuya ialah Ulltuk mengatasi masalah penumpuan yang perlahan atau genangan yang disebabkan oleh nilai eigen yang kecil. Dissertasi ini bertujuan untuk menyediakan satu sorotan kritikal tentang kaedah "SNAP" yang dicadangkan pada 2006 oleh M. Illic, W. Turner dan Y. Saad. Dissertasi ini memfokuskan pada idea utama "SNAP" : algoritmanya, pembinaan Penghampiran Ruang nol hampiran dan dua algoritma yang dihasilkan oleh Illic. W. Turner dan Y. Saad iaitu SNAP-JD(m) dan 'Restarted SNAP-JD(m,kmax,l) "SNAP" or "Solution by Null-space Approximation and Projection" is one of the methods for solving linear system when the matrix coefficient is large and sparse. Its objective is to overcome the problem of slow convergence or stagnation which is caused by small eigenvalues. This dissertation is aimed at providing a critical review of the SNAP method which was proposed in 2006 by M. Illic, W. Turner and Y. Saad. The dissertation focused on the main idea of SNAP: the algorithm, the construction of Approximate Null Space and two algorithms generated by Illic, W. Turner and Y. Saad which are SNAP-JD(m) and Restarted SNAP-JD(m,kmax,l ). 2008-05 Thesis http://eprints.usm.my/31155/ http://eprints.usm.my/31155/1/SALIM_ABDULLAH_SURUR_AL-KHARUSI.pdf application/pdf en public masters Universiti Sains Malaysia Pusat Pengajian Sains Matematik
institution Universiti Sains Malaysia
collection USM Institutional Repository
language English
topic QA1 Mathematics (General)
spellingShingle QA1 Mathematics (General)
Al-Kharusi, Salim Abdullah Surur
On Ways To Improve Convergence Of Krylov Subspace Methods
description "SNAP" atau "Solution by Null-space Approximation and Projection" ialah salah satu cara untuk menyelesaikan sistem linear apabila pekali matrik adalah besar dan "sparse". Objektifuya ialah Ulltuk mengatasi masalah penumpuan yang perlahan atau genangan yang disebabkan oleh nilai eigen yang kecil. Dissertasi ini bertujuan untuk menyediakan satu sorotan kritikal tentang kaedah "SNAP" yang dicadangkan pada 2006 oleh M. Illic, W. Turner dan Y. Saad. Dissertasi ini memfokuskan pada idea utama "SNAP" : algoritmanya, pembinaan Penghampiran Ruang nol hampiran dan dua algoritma yang dihasilkan oleh Illic. W. Turner dan Y. Saad iaitu SNAP-JD(m) dan 'Restarted SNAP-JD(m,kmax,l) "SNAP" or "Solution by Null-space Approximation and Projection" is one of the methods for solving linear system when the matrix coefficient is large and sparse. Its objective is to overcome the problem of slow convergence or stagnation which is caused by small eigenvalues. This dissertation is aimed at providing a critical review of the SNAP method which was proposed in 2006 by M. Illic, W. Turner and Y. Saad. The dissertation focused on the main idea of SNAP: the algorithm, the construction of Approximate Null Space and two algorithms generated by Illic, W. Turner and Y. Saad which are SNAP-JD(m) and Restarted SNAP-JD(m,kmax,l ).
format Thesis
qualification_level Master's degree
author Al-Kharusi, Salim Abdullah Surur
author_facet Al-Kharusi, Salim Abdullah Surur
author_sort Al-Kharusi, Salim Abdullah Surur
title On Ways To Improve Convergence Of Krylov Subspace Methods
title_short On Ways To Improve Convergence Of Krylov Subspace Methods
title_full On Ways To Improve Convergence Of Krylov Subspace Methods
title_fullStr On Ways To Improve Convergence Of Krylov Subspace Methods
title_full_unstemmed On Ways To Improve Convergence Of Krylov Subspace Methods
title_sort on ways to improve convergence of krylov subspace methods
granting_institution Universiti Sains Malaysia
granting_department Pusat Pengajian Sains Matematik
publishDate 2008
url http://eprints.usm.my/31155/1/SALIM_ABDULLAH_SURUR_AL-KHARUSI.pdf
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