The interval Zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros
A new modified method IZSS1-5D for the simultaneously bounding all the real zeros of a polynomial is formulated in this paper. The efficiency of this method is measured on the CPU times and the number of iterations after satisfying the convergence criteria where the results are obtained using five t...
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38963/ http://psasir.upm.edu.my/id/eprint/38963/1/38963.pdf |
| _version_ | 1848849016852316160 |
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| author | Wan Mohd Sham, Atiyah Monsi, Mansor Hassan, Nasruddin |
| author_facet | Wan Mohd Sham, Atiyah Monsi, Mansor Hassan, Nasruddin |
| author_sort | Wan Mohd Sham, Atiyah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A new modified method IZSS1-5D for the simultaneously bounding all the real zeros of a polynomial is formulated in this paper. The efficiency of this method is measured on the CPU times and the number of iterations after satisfying the convergence criteria where the results are obtained using five tested polynomials. The analysis performed shows that the R-order of convergence of this new procedure is at least five. The programming language used to obtain the numerical results is Matlab R2012, a software in association with Intlab V5.5 toolbox. The numerical results indicate that the procedure IZSS1-5D outperformed the IZSS1 in computational times and number of iterations. |
| first_indexed | 2025-11-15T09:43:42Z |
| format | Article |
| id | upm-38963 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:43:42Z |
| publishDate | 2015 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-389632015-09-04T13:59:02Z http://psasir.upm.edu.my/id/eprint/38963/ The interval Zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros Wan Mohd Sham, Atiyah Monsi, Mansor Hassan, Nasruddin A new modified method IZSS1-5D for the simultaneously bounding all the real zeros of a polynomial is formulated in this paper. The efficiency of this method is measured on the CPU times and the number of iterations after satisfying the convergence criteria where the results are obtained using five tested polynomials. The analysis performed shows that the R-order of convergence of this new procedure is at least five. The programming language used to obtain the numerical results is Matlab R2012, a software in association with Intlab V5.5 toolbox. The numerical results indicate that the procedure IZSS1-5D outperformed the IZSS1 in computational times and number of iterations. Institute for Mathematical Research, Universiti Putra Malaysia 2015-05 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38963/1/38963.pdf Wan Mohd Sham, Atiyah and Monsi, Mansor and Hassan, Nasruddin (2015) The interval Zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros. Malaysian Journal of Mathematical Sciences, 9 (2). pp. 325-336. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol9no2/10.%20atiyahnasruddinTerkini.pdf |
| spellingShingle | Wan Mohd Sham, Atiyah Monsi, Mansor Hassan, Nasruddin The interval Zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros |
| title | The interval Zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros |
| title_full | The interval Zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros |
| title_fullStr | The interval Zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros |
| title_full_unstemmed | The interval Zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros |
| title_short | The interval Zoro-symmetric single-step IZSS1-5D for the simultaneous bounding of real polynomial zeros |
| title_sort | interval zoro-symmetric single-step izss1-5d for the simultaneous bounding of real polynomial zeros |
| url | http://psasir.upm.edu.my/id/eprint/38963/ http://psasir.upm.edu.my/id/eprint/38963/ http://psasir.upm.edu.my/id/eprint/38963/1/38963.pdf |