On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros
The point symmetric single-step procedure established by Monsi (2012) has R-order of convergence at least 3. This procedure is modified by repeating the steps in the procedure r times without involving function evaluations. This modified procedure is called the point repeated symmetric single-step P...
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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/38962/ http://psasir.upm.edu.my/id/eprint/38962/1/38962.pdf |
| _version_ | 1848849016588075008 |
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| author | Monsi, Mansor Muhamad Rusli, Syaida Fadhilah Hassan, Nasruddin Ismail, Fudziah Bibi, Zarina |
| author_facet | Monsi, Mansor Muhamad Rusli, Syaida Fadhilah Hassan, Nasruddin Ismail, Fudziah Bibi, Zarina |
| author_sort | Monsi, Mansor |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The point symmetric single-step procedure established by Monsi (2012) has R-order of convergence at least 3. This procedure is modified by repeating the steps in the procedure r times without involving function evaluations. This modified procedure is called the point repeated symmetric single-step PRSS1. The R-order of convergence of PRSS1 is at least (2r + 1)(r ≥ 1) Computational experiences in the implementation of the interval version of PRSS1 (see Monsi and Wolfe, 1988) showed that the repeated symmetric single-step procedure is more efficient than the total step (Kerner, 1966) and the single-step (Alefeld and Herzberger, 1974) methods. |
| first_indexed | 2025-11-15T09:43:41Z |
| format | Article |
| id | upm-38962 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:43:41Z |
| publishDate | 2015 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-389622015-09-04T13:56:13Z http://psasir.upm.edu.my/id/eprint/38962/ On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros Monsi, Mansor Muhamad Rusli, Syaida Fadhilah Hassan, Nasruddin Ismail, Fudziah Bibi, Zarina The point symmetric single-step procedure established by Monsi (2012) has R-order of convergence at least 3. This procedure is modified by repeating the steps in the procedure r times without involving function evaluations. This modified procedure is called the point repeated symmetric single-step PRSS1. The R-order of convergence of PRSS1 is at least (2r + 1)(r ≥ 1) Computational experiences in the implementation of the interval version of PRSS1 (see Monsi and Wolfe, 1988) showed that the repeated symmetric single-step procedure is more efficient than the total step (Kerner, 1966) and the single-step (Alefeld and Herzberger, 1974) methods. Institute for Mathematical Research, Universiti Putra Malaysia 2015-05 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38962/1/38962.pdf Monsi, Mansor and Muhamad Rusli, Syaida Fadhilah and Hassan, Nasruddin and Ismail, Fudziah and Bibi, Zarina (2015) On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros. Malaysian Journal of Mathematical Sciences, 9 (2). pp. 301-315. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol9no2/8.%20mansor%20monsi%20updated.pdf |
| spellingShingle | Monsi, Mansor Muhamad Rusli, Syaida Fadhilah Hassan, Nasruddin Ismail, Fudziah Bibi, Zarina On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros |
| title | On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros |
| title_full | On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros |
| title_fullStr | On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros |
| title_full_unstemmed | On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros |
| title_short | On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros |
| title_sort | on the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros |
| url | http://psasir.upm.edu.my/id/eprint/38962/ http://psasir.upm.edu.my/id/eprint/38962/ http://psasir.upm.edu.my/id/eprint/38962/1/38962.pdf |