The efficiency of convergence rate for IMSS2-5D procedure
A new iterative procedure is formulated in this paper known as the interval midpoint symmetric single-step IMSS2-5D procedure. In this paper, we consider this new procedure in order to describe the rate of convergence of the IMSS2-5D procedure. It is analytically proven that the IMSS2-5D procedure h...
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AIP Publishing LLC
2015
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| الوصول للمادة أونلاين: | http://psasir.upm.edu.my/id/eprint/57567/1/The%20efficiency%20of%20convergence%20rate%20for%20IMSS2-5D%20procedure.pdf http://psasir.upm.edu.my/id/eprint/57567/ |
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my.upm.eprints.575672017-10-24T05:14:04Z http://psasir.upm.edu.my/id/eprint/57567/ The efficiency of convergence rate for IMSS2-5D procedure Jamaludin, Noraini Monsi, Mansor Hassan, Nasruddin Zainuddin, Nooraini Rashid, Nur Izzati A new iterative procedure is formulated in this paper known as the interval midpoint symmetric single-step IMSS2-5D procedure. In this paper, we consider this new procedure in order to describe the rate of convergence of the IMSS2-5D procedure. It is analytically proven that the IMSS2-5D procedure has a higher convergence rate than ISS2 and ISS2-5D, verifying the rate of convergence to be at least 12. Hence, computational time is reduced since this procedure is more efficient for bounding simple zeros simultaneously. Hence, it would be effective to use this procedure in determining the zeros of polynomial simultaneously. AIP Publishing LLC 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57567/1/The%20efficiency%20of%20convergence%20rate%20for%20IMSS2-5D%20procedure.pdf Jamaludin, Noraini and Monsi, Mansor and Hassan, Nasruddin and Zainuddin, Nooraini and Rashid, Nur Izzati (2015) The efficiency of convergence rate for IMSS2-5D procedure. In: 2nd Innovation and Analytics Conference & Exhibition (IACE 2015), 29 Sept.-1 Oct. 2015, TH Hotel, Alor Setar, Kedah. (pp. 1-6). 10.1063/1.4937064 |
| institution |
Universiti Putra Malaysia |
| building |
UPM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Putra Malaysia |
| content_source |
UPM Institutional Repository |
| url_provider |
http://psasir.upm.edu.my/ |
| language |
English |
| description |
A new iterative procedure is formulated in this paper known as the interval midpoint symmetric single-step IMSS2-5D procedure. In this paper, we consider this new procedure in order to describe the rate of convergence of the IMSS2-5D procedure. It is analytically proven that the IMSS2-5D procedure has a higher convergence rate than ISS2 and ISS2-5D, verifying the rate of convergence to be at least 12. Hence, computational time is reduced since this procedure is more efficient for bounding simple zeros simultaneously. Hence, it would be effective to use this procedure in determining the zeros of polynomial simultaneously. |
| format |
Conference or Workshop Item |
| author |
Jamaludin, Noraini Monsi, Mansor Hassan, Nasruddin Zainuddin, Nooraini Rashid, Nur Izzati |
| spellingShingle |
Jamaludin, Noraini Monsi, Mansor Hassan, Nasruddin Zainuddin, Nooraini Rashid, Nur Izzati The efficiency of convergence rate for IMSS2-5D procedure |
| author_facet |
Jamaludin, Noraini Monsi, Mansor Hassan, Nasruddin Zainuddin, Nooraini Rashid, Nur Izzati |
| author_sort |
Jamaludin, Noraini |
| title |
The efficiency of convergence rate for IMSS2-5D procedure |
| title_short |
The efficiency of convergence rate for IMSS2-5D procedure |
| title_full |
The efficiency of convergence rate for IMSS2-5D procedure |
| title_fullStr |
The efficiency of convergence rate for IMSS2-5D procedure |
| title_full_unstemmed |
The efficiency of convergence rate for IMSS2-5D procedure |
| title_sort |
efficiency of convergence rate for imss2-5d procedure |
| publisher |
AIP Publishing LLC |
| publishDate |
2015 |
| url |
http://psasir.upm.edu.my/id/eprint/57567/1/The%20efficiency%20of%20convergence%20rate%20for%20IMSS2-5D%20procedure.pdf http://psasir.upm.edu.my/id/eprint/57567/ |
| _version_ |
1643836525962592256 |
| score |
13.251813 |