The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial
The order of convergence of the existing interval zoro symmetric single-step procedure is at least 4. The point version shares the same order of convergence. The point version of the interval zoro symmetric single-step procedure, aptly called point zoro symmetric single-step procedure, is modified b...
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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/52340/ http://psasir.upm.edu.my/id/eprint/52340/1/4.%20nasrudin.pdf |
| _version_ | 1848852078550581248 |
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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 |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The order of convergence of the existing interval zoro symmetric single-step procedure is at least 4. The point version shares the same order of convergence. The point version of the interval zoro symmetric single-step procedure, aptly called point zoro symmetric single-step procedure, is modified by repeating the two forward and one backward steps r times. This modified procedure is named as point repeated zoro symmetric single-step procedure. It is shown that this procedure converges at the rate of at least 3r + 1 where r ≥ 1. This procedure and that of the point zoro symmetric single-step procedure are identical when r = 1. Numerical results show that the proposed point repeated zoro symmetric single-step procedure possesses higher rate of convergence than does the point zoro symmetric single-step procedure. |
| first_indexed | 2025-11-15T10:32:22Z |
| format | Article |
| id | upm-52340 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:32:22Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-523402017-06-05T09:24:21Z http://psasir.upm.edu.my/id/eprint/52340/ The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial Monsi, Mansor Hassan, Nasruddin Mohammad Rusli, Syaida Fadhilah The order of convergence of the existing interval zoro symmetric single-step procedure is at least 4. The point version shares the same order of convergence. The point version of the interval zoro symmetric single-step procedure, aptly called point zoro symmetric single-step procedure, is modified by repeating the two forward and one backward steps r times. This modified procedure is named as point repeated zoro symmetric single-step procedure. It is shown that this procedure converges at the rate of at least 3r + 1 where r ≥ 1. This procedure and that of the point zoro symmetric single-step procedure are identical when r = 1. Numerical results show that the proposed point repeated zoro symmetric single-step procedure possesses higher rate of convergence than does the point zoro symmetric single-step procedure. Institute for Mathematical Research, Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52340/1/4.%20nasrudin.pdf Monsi, Mansor and Hassan, Nasruddin and Mohammad Rusli, Syaida Fadhilah (2016) The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial. Malaysian Journal of Mathematical Sciences, 10 (2). pp. 179-194. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10no2may/4.%20nasrudin.pdf |
| spellingShingle | Monsi, Mansor Hassan, Nasruddin Mohammad Rusli, Syaida Fadhilah The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial |
| title | The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial |
| title_full | The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial |
| title_fullStr | The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial |
| title_full_unstemmed | The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial |
| title_short | The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial |
| title_sort | point procedure przss1 for the simultaneous estimation of the zeros of a polynomial |
| url | http://psasir.upm.edu.my/id/eprint/52340/ http://psasir.upm.edu.my/id/eprint/52340/ http://psasir.upm.edu.my/id/eprint/52340/1/4.%20nasrudin.pdf |