On modified interval repeated zoro symmetric single-step IRZSS1-5D procedure for bounding polynomial zeros simultaneously
We present a new rapidly convergence procedure called the interval repeated zoro symmetric single-step IRZSS1-5D which is an extension of the procedures IZSS1-5D and IRSS1. Theoretical analysis shows that the rate of convergence of IRZSS1-5D is at least 3r + 2 (r ≥ 1), whereas the rates of convergen...
| Main Authors: | , , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57354/ http://psasir.upm.edu.my/id/eprint/57354/1/On%20modified%20interval%20repeated%20zoro%20symmetric%20single-step%20IRZSS1-5D%20procedure%20for%20bounding%20polynomial%20zeros%20simultaneously.pdf |
| _version_ | 1848853342151770112 |
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| author | Mohammad Rusli, Syaida Fadhilah Monsi, Mansor Hassan, Nasruddin Senu, Norazak Ismail, Fudziah Ibrahim, Zarina Bibi |
| author_facet | Mohammad Rusli, Syaida Fadhilah Monsi, Mansor Hassan, Nasruddin Senu, Norazak Ismail, Fudziah Ibrahim, Zarina Bibi |
| author_sort | Mohammad Rusli, Syaida Fadhilah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We present a new rapidly convergence procedure called the interval repeated zoro symmetric single-step IRZSS1-5D which is an extension of the procedures IZSS1-5D and IRSS1. Theoretical analysis shows that the rate of convergence of IRZSS1-5D is at least 3r + 2 (r ≥ 1), whereas the rates of convergence of IZSS1-5D and IRSS1 are at least five and 2r + 1 (r ≥ 1), respectively. With r = 1, the procedure IRZSS1-5D is identical to IZSS1-5D. The procedures IRSS1 and IZSS1-5D are the basic references for the establishment of IRZSS1-5D, where the forward-backward-forward (FBF) step of IZSS1-5D are repeated r times in IRZSS1-5D, so that some elements of FBF of IZSS1-5D can be saved and reused for the next inner iterations r = 2,3, … in IRZSS1-5D. |
| first_indexed | 2025-11-15T10:52:27Z |
| format | Conference or Workshop Item |
| id | upm-57354 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:27Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573542017-09-26T04:09:53Z http://psasir.upm.edu.my/id/eprint/57354/ On modified interval repeated zoro symmetric single-step IRZSS1-5D procedure for bounding polynomial zeros simultaneously Mohammad Rusli, Syaida Fadhilah Monsi, Mansor Hassan, Nasruddin Senu, Norazak Ismail, Fudziah Ibrahim, Zarina Bibi We present a new rapidly convergence procedure called the interval repeated zoro symmetric single-step IRZSS1-5D which is an extension of the procedures IZSS1-5D and IRSS1. Theoretical analysis shows that the rate of convergence of IRZSS1-5D is at least 3r + 2 (r ≥ 1), whereas the rates of convergence of IZSS1-5D and IRSS1 are at least five and 2r + 1 (r ≥ 1), respectively. With r = 1, the procedure IRZSS1-5D is identical to IZSS1-5D. The procedures IRSS1 and IZSS1-5D are the basic references for the establishment of IRZSS1-5D, where the forward-backward-forward (FBF) step of IZSS1-5D are repeated r times in IRZSS1-5D, so that some elements of FBF of IZSS1-5D can be saved and reused for the next inner iterations r = 2,3, … in IRZSS1-5D. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57354/1/On%20modified%20interval%20repeated%20zoro%20symmetric%20single-step%20IRZSS1-5D%20procedure%20for%20bounding%20polynomial%20zeros%20simultaneously.pdf Mohammad Rusli, Syaida Fadhilah and Monsi, Mansor and Hassan, Nasruddin and Senu, Norazak and Ismail, Fudziah and Ibrahim, Zarina Bibi (2014) On modified interval repeated zoro symmetric single-step IRZSS1-5D procedure for bounding polynomial zeros simultaneously. In: 22nd National Symposium on Mathematical Sciences (SKSM22), 24-26 Nov. 2014, Grand Bluewave Hotel, Selangor. . 10.1063/1.4932420 |
| spellingShingle | Mohammad Rusli, Syaida Fadhilah Monsi, Mansor Hassan, Nasruddin Senu, Norazak Ismail, Fudziah Ibrahim, Zarina Bibi On modified interval repeated zoro symmetric single-step IRZSS1-5D procedure for bounding polynomial zeros simultaneously |
| title | On modified interval repeated zoro symmetric single-step IRZSS1-5D procedure for bounding polynomial zeros simultaneously |
| title_full | On modified interval repeated zoro symmetric single-step IRZSS1-5D procedure for bounding polynomial zeros simultaneously |
| title_fullStr | On modified interval repeated zoro symmetric single-step IRZSS1-5D procedure for bounding polynomial zeros simultaneously |
| title_full_unstemmed | On modified interval repeated zoro symmetric single-step IRZSS1-5D procedure for bounding polynomial zeros simultaneously |
| title_short | On modified interval repeated zoro symmetric single-step IRZSS1-5D procedure for bounding polynomial zeros simultaneously |
| title_sort | on modified interval repeated zoro symmetric single-step irzss1-5d procedure for bounding polynomial zeros simultaneously |
| url | http://psasir.upm.edu.my/id/eprint/57354/ http://psasir.upm.edu.my/id/eprint/57354/ http://psasir.upm.edu.my/id/eprint/57354/1/On%20modified%20interval%20repeated%20zoro%20symmetric%20single-step%20IRZSS1-5D%20procedure%20for%20bounding%20polynomial%20zeros%20simultaneously.pdf |