On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously
This paper presents an improvement of the existing interval symmetric single-step method ISS1 which will be called the interval midpoint symmetric single-step method IMSS1. The term 'midpoint' is referred to the updated midpoints used in every step in the method. The idea of midpoint will...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51856/ http://psasir.upm.edu.my/id/eprint/51856/1/On%20the%20efficiencies%20of%20the%20IMSS1%20method%20for%20bounding%20polynomial%20zeros%20simultaneously.pdf |
| _version_ | 1848851946925981696 |
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| author | Mohammad Rusli, Syaida Fadhilah Monsi, Mansor Hassan, Nasruddin Md. Ali, Fadzilah |
| author_facet | Mohammad Rusli, Syaida Fadhilah Monsi, Mansor Hassan, Nasruddin Md. Ali, Fadzilah |
| author_sort | Mohammad Rusli, Syaida Fadhilah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper presents an improvement of the existing interval symmetric single-step method ISS1 which will be called the interval midpoint symmetric single-step method IMSS1. The term 'midpoint' is referred to the updated midpoints used in every step in the method. The idea of midpoint will potentially reduce the time and improve the effectiveness of the method. This method is tested numerically in terms of CPU times and number of iterations of which comparison for both methods will be presented. This procedure is verified on five test polynomials and the results were obtained using MATLAB in association with Intlab toolbox. Based on the numerical results, the IMSS1 method shows a better performance than does the ISS1 method. |
| first_indexed | 2025-11-15T10:30:16Z |
| format | Conference or Workshop Item |
| id | upm-51856 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:16Z |
| publishDate | 2015 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-518562017-05-02T08:05:15Z http://psasir.upm.edu.my/id/eprint/51856/ On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously Mohammad Rusli, Syaida Fadhilah Monsi, Mansor Hassan, Nasruddin Md. Ali, Fadzilah This paper presents an improvement of the existing interval symmetric single-step method ISS1 which will be called the interval midpoint symmetric single-step method IMSS1. The term 'midpoint' is referred to the updated midpoints used in every step in the method. The idea of midpoint will potentially reduce the time and improve the effectiveness of the method. This method is tested numerically in terms of CPU times and number of iterations of which comparison for both methods will be presented. This procedure is verified on five test polynomials and the results were obtained using MATLAB in association with Intlab toolbox. Based on the numerical results, the IMSS1 method shows a better performance than does the ISS1 method. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51856/1/On%20the%20efficiencies%20of%20the%20IMSS1%20method%20for%20bounding%20polynomial%20zeros%20simultaneously.pdf Mohammad Rusli, Syaida Fadhilah and Monsi, Mansor and Hassan, Nasruddin and Md. Ali, Fadzilah (2015) On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 1-4). http://ieeexplore.ieee.org/document/7357015/ 10.1109/ICREM.2015.7357015 |
| spellingShingle | Mohammad Rusli, Syaida Fadhilah Monsi, Mansor Hassan, Nasruddin Md. Ali, Fadzilah On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously |
| title | On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously |
| title_full | On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously |
| title_fullStr | On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously |
| title_full_unstemmed | On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously |
| title_short | On the efficiencies of the IMSS1 method for bounding polynomial zeros simultaneously |
| title_sort | on the efficiencies of the imss1 method for bounding polynomial zeros simultaneously |
| url | http://psasir.upm.edu.my/id/eprint/51856/ http://psasir.upm.edu.my/id/eprint/51856/ http://psasir.upm.edu.my/id/eprint/51856/ http://psasir.upm.edu.my/id/eprint/51856/1/On%20the%20efficiencies%20of%20the%20IMSS1%20method%20for%20bounding%20polynomial%20zeros%20simultaneously.pdf |