Tridiagonal Iterative Method for Linear Systems
In this study, we propose a tridiagonal iterative method to solve linear systems based on dominant tridiagonal entries. For solving a tridiagonal system, we incorporated the proposed method with Thomas algorithm in each step of the method. Moreover, this paper presents a comprehensive theoretical an...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Sindh
2017-10-01
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| Series: | University of Sindh Journal of Information and Communication Technology |
| Subjects: | |
| Online Access: | http://sujo.usindh.edu.pk/index.php/USJICT/article/view/3497/2515 |
| _version_ | 1811340845284065280 |
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| author | Jinrui Guan Zubair Ahmed Aftab Ahmed Chandio |
| author_facet | Jinrui Guan Zubair Ahmed Aftab Ahmed Chandio |
| author_sort | Jinrui Guan |
| collection | DOAJ |
| description | In this study, we propose a tridiagonal iterative method to solve linear systems based on dominant tridiagonal entries. For solving a tridiagonal system, we incorporated the proposed method with Thomas algorithm in each step of the method. Moreover, this paper presents a comprehensive theoretical analysis, wherein we choose
two well-known methods for comparison i.e., the Gauss-Seidel and Jacobi. The numerical experiment shows that
our proposed iterative method is a feasible and effective method than the studied methods. |
| first_indexed | 2024-04-13T18:47:59Z |
| format | Article |
| id | doaj.art-34e948d4f05340f9b2e96974ce73425c |
| institution | Directory Open Access Journal |
| issn | 2521-5582 2523-1235 |
| language | English |
| last_indexed | 2024-04-13T18:47:59Z |
| publishDate | 2017-10-01 |
| publisher | University of Sindh |
| record_format | Article |
| series | University of Sindh Journal of Information and Communication Technology |
| spelling | doaj.art-34e948d4f05340f9b2e96974ce73425c2022-12-22T02:34:31ZengUniversity of SindhUniversity of Sindh Journal of Information and Communication Technology2521-55822523-12352017-10-01115155Tridiagonal Iterative Method for Linear SystemsJinrui Guan0Zubair Ahmed1Aftab Ahmed Chandio2Department of Mathematics, Taiyuan Normal University, ChinaInstitute of Mathematics and Computer Science, University of Sindh, Jamshoro, PakistanInstitute of Mathematics and Computer Science, University of Sindh, Jamshoro, PakistanIn this study, we propose a tridiagonal iterative method to solve linear systems based on dominant tridiagonal entries. For solving a tridiagonal system, we incorporated the proposed method with Thomas algorithm in each step of the method. Moreover, this paper presents a comprehensive theoretical analysis, wherein we choose two well-known methods for comparison i.e., the Gauss-Seidel and Jacobi. The numerical experiment shows that our proposed iterative method is a feasible and effective method than the studied methods.http://sujo.usindh.edu.pk/index.php/USJICT/article/view/3497/2515Iterative method; tridiagonal system; Thomas algorithmJacobi and Gauss-Seidel |
| spellingShingle | Jinrui Guan Zubair Ahmed Aftab Ahmed Chandio Tridiagonal Iterative Method for Linear Systems University of Sindh Journal of Information and Communication Technology Iterative method; tridiagonal system; Thomas algorithm Jacobi and Gauss-Seidel |
| title | Tridiagonal Iterative Method for Linear Systems |
| title_full | Tridiagonal Iterative Method for Linear Systems |
| title_fullStr | Tridiagonal Iterative Method for Linear Systems |
| title_full_unstemmed | Tridiagonal Iterative Method for Linear Systems |
| title_short | Tridiagonal Iterative Method for Linear Systems |
| title_sort | tridiagonal iterative method for linear systems |
| topic | Iterative method; tridiagonal system; Thomas algorithm Jacobi and Gauss-Seidel |
| url | http://sujo.usindh.edu.pk/index.php/USJICT/article/view/3497/2515 |
| work_keys_str_mv | AT jinruiguan tridiagonaliterativemethodforlinearsystems AT zubairahmed tridiagonaliterativemethodforlinearsystems AT aftabahmedchandio tridiagonaliterativemethodforlinearsystems |