The repeated procedure PRMZSS1 for estimating the polynomial zeros simultaneously
Our previous method that is PMZSS1 has a rate of convergence of at least eight. The aim of repeating the steps in PMZSS1 is to yield a better rate of convergence. The resulting method is called the repeated midpoint zoro PRMZSS1 where its rate of convergence is at least 7r +1 with r ≥ 1.The proof of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/52332/1/11.%20Nasrudin%20n%20Mansor%20Monsi.pdf |
| _version_ | 1825930704491380736 |
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| author | Monsi, Mansor Hassan, Nasruddin Mohammad Rusli, Syaida Fadhilah |
| author_facet | Monsi, Mansor Hassan, Nasruddin Mohammad Rusli, Syaida Fadhilah |
| author_sort | Monsi, Mansor |
| collection | UPM |
| description | Our previous method that is PMZSS1 has a rate of convergence of at least eight. The aim of repeating the steps in PMZSS1 is to yield a better rate of convergence. The resulting method is called the repeated midpoint zoro PRMZSS1 where its rate of convergence is at least 7r +1 with r ≥ 1.The proof of this result is detailed in the convergence analysis of PRMZSS1.
Numerical results and comparison with the existing procedures of PZSS1 and PMZSS1 are included to confirm our theoretical results, where the rate of convergence of PZSS1 and PMZSS1 are four and eight respectively. |
| first_indexed | 2024-03-06T09:15:36Z |
| format | Article |
| id | upm.eprints-52332 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:15:36Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-523322017-06-05T09:15:33Z http://psasir.upm.edu.my/id/eprint/52332/ The repeated procedure PRMZSS1 for estimating the polynomial zeros simultaneously Monsi, Mansor Hassan, Nasruddin Mohammad Rusli, Syaida Fadhilah Our previous method that is PMZSS1 has a rate of convergence of at least eight. The aim of repeating the steps in PMZSS1 is to yield a better rate of convergence. The resulting method is called the repeated midpoint zoro PRMZSS1 where its rate of convergence is at least 7r +1 with r ≥ 1.The proof of this result is detailed in the convergence analysis of PRMZSS1. Numerical results and comparison with the existing procedures of PZSS1 and PMZSS1 are included to confirm our theoretical results, where the rate of convergence of PZSS1 and PMZSS1 are four and eight respectively. Institute for Mathematical Research, Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52332/1/11.%20Nasrudin%20n%20Mansor%20Monsi.pdf Monsi, Mansor and Hassan, Nasruddin and Mohammad Rusli, Syaida Fadhilah (2016) The repeated procedure PRMZSS1 for estimating the polynomial zeros simultaneously. Malaysian Journal of Mathematical Sciences, 10 (3). pp. 383-398. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10no3/11.%20Nasrudin%20n%20Mansor%20Monsi.pdf |
| spellingShingle | Monsi, Mansor Hassan, Nasruddin Mohammad Rusli, Syaida Fadhilah The repeated procedure PRMZSS1 for estimating the polynomial zeros simultaneously |
| title | The repeated procedure PRMZSS1 for estimating the polynomial zeros simultaneously |
| title_full | The repeated procedure PRMZSS1 for estimating the polynomial zeros simultaneously |
| title_fullStr | The repeated procedure PRMZSS1 for estimating the polynomial zeros simultaneously |
| title_full_unstemmed | The repeated procedure PRMZSS1 for estimating the polynomial zeros simultaneously |
| title_short | The repeated procedure PRMZSS1 for estimating the polynomial zeros simultaneously |
| title_sort | repeated procedure prmzss1 for estimating the polynomial zeros simultaneously |
| url | http://psasir.upm.edu.my/id/eprint/52332/1/11.%20Nasrudin%20n%20Mansor%20Monsi.pdf |
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