On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros
In this paper, we present the analysis of the rate of convergence of the interval repeated midpoint zoro symmetric single-step procedure (IRMZSS) which is the extension of the interval midpoint zoro symmetric single-step procedure (IMZSS). The results show that the procedure IRMZSS has R-order of co...
| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57179/ http://psasir.upm.edu.my/id/eprint/57179/1/On%20the%20convergence%20rate%20of%20interval%20repeated%20midpoint%20zoro%20symmetric%20single-step%20procedure%20for%20simultaneous%20bounding%20the%20polynomial%20zeros.pdf |
| _version_ | 1848853293009207296 |
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| author | Monsi, Mansor Mohammad Rusli, Syaida Fadhilah Senu, Norazak Ismail, Fudziah Ibrahim, Zarina Bibi |
| author_facet | Monsi, Mansor Mohammad Rusli, Syaida Fadhilah Senu, Norazak Ismail, Fudziah Ibrahim, Zarina Bibi |
| author_sort | Monsi, Mansor |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, we present the analysis of the rate of convergence of the interval repeated midpoint zoro symmetric single-step procedure (IRMZSS) which is the extension of the interval midpoint zoro symmetric single-step procedure (IMZSS). The results show that the procedure IRMZSS has R-order of convergence at least 7r + 1 (r ≥ 1) or 0R (IRMZSS) ≥ 7 r + 1 (r ≥ 1), whereas the procedure IMZSS R-order of convergence at least 8 or 0R (IMZSS) ≥ 8. In fact 0R (IRMZSS) ≥ 0R (IMZSS) and 0R (IRMZSS) = 0R (IRMZSS) = 0R (IMZSS) when r = 1. |
| first_indexed | 2025-11-15T10:51:40Z |
| format | Conference or Workshop Item |
| id | upm-57179 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:40Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571792017-09-08T09:41:29Z http://psasir.upm.edu.my/id/eprint/57179/ On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros Monsi, Mansor Mohammad Rusli, Syaida Fadhilah Senu, Norazak Ismail, Fudziah Ibrahim, Zarina Bibi In this paper, we present the analysis of the rate of convergence of the interval repeated midpoint zoro symmetric single-step procedure (IRMZSS) which is the extension of the interval midpoint zoro symmetric single-step procedure (IMZSS). The results show that the procedure IRMZSS has R-order of convergence at least 7r + 1 (r ≥ 1) or 0R (IRMZSS) ≥ 7 r + 1 (r ≥ 1), whereas the procedure IMZSS R-order of convergence at least 8 or 0R (IMZSS) ≥ 8. In fact 0R (IRMZSS) ≥ 0R (IMZSS) and 0R (IRMZSS) = 0R (IRMZSS) = 0R (IMZSS) when r = 1. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57179/1/On%20the%20convergence%20rate%20of%20interval%20repeated%20midpoint%20zoro%20symmetric%20single-step%20procedure%20for%20simultaneous%20bounding%20the%20polynomial%20zeros.pdf Monsi, Mansor and Mohammad Rusli, Syaida Fadhilah and Senu, Norazak and Ismail, Fudziah and Ibrahim, Zarina Bibi (2013) On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 610-614). http://aip.scitation.org/doi/abs/10.1063/1.4824174 10.1063/1.4824174 |
| spellingShingle | Monsi, Mansor Mohammad Rusli, Syaida Fadhilah Senu, Norazak Ismail, Fudziah Ibrahim, Zarina Bibi On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros |
| title | On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros |
| title_full | On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros |
| title_fullStr | On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros |
| title_full_unstemmed | On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros |
| title_short | On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros |
| title_sort | on the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros |
| url | http://psasir.upm.edu.my/id/eprint/57179/ http://psasir.upm.edu.my/id/eprint/57179/ http://psasir.upm.edu.my/id/eprint/57179/ http://psasir.upm.edu.my/id/eprint/57179/1/On%20the%20convergence%20rate%20of%20interval%20repeated%20midpoint%20zoro%20symmetric%20single-step%20procedure%20for%20simultaneous%20bounding%20the%20polynomial%20zeros.pdf |