The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial Zeros

The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial Zeros

The point symmetric single step procedure PSS1 has R-order of convergence at least 3. This procedure is modified by adding another single-step, which is the third step in PSS1. This modified procedure is called the point zoro symmetric single-step PZSS1. It is proven that the R-order of convergence...

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Main Authors: Mansor Monsi, Nasruddin Hassan, Syaida Fadhilah Rusli
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/709832
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spelling doaj-746c4fcd2cb64932b073cf3a9726f7b22020-11-24T22:25:21ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/709832709832The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial ZerosMansor Monsi0Nasruddin Hassan1Syaida Fadhilah Rusli2Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, MalaysiaThe point symmetric single step procedure PSS1 has R-order of convergence at least 3. This procedure is modified by adding another single-step, which is the third step in PSS1. This modified procedure is called the point zoro symmetric single-step PZSS1. It is proven that the R-order of convergence of PZSS1 is at least 4 which is higher than the R-order of convergence of PT1, PS1, and PSS1. Hence, computational time is reduced since this procedure is more efficient for bounding simple zeros simultaneously.http://dx.doi.org/10.1155/2012/709832
collection DOAJ
language English
format Article
sources DOAJ
author Mansor Monsi
Nasruddin Hassan
Syaida Fadhilah Rusli
spellingShingle Mansor Monsi
Nasruddin Hassan
Syaida Fadhilah Rusli
The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial Zeros
Journal of Applied Mathematics
author_facet Mansor Monsi
Nasruddin Hassan
Syaida Fadhilah Rusli
author_sort Mansor Monsi
title The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial Zeros
title_short The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial Zeros
title_full The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial Zeros
title_fullStr The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial Zeros
title_full_unstemmed The Point Zoro Symmetric Single-Step Procedure for Simultaneous Estimation of Polynomial Zeros
title_sort point zoro symmetric single-step procedure for simultaneous estimation of polynomial zeros
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description The point symmetric single step procedure PSS1 has R-order of convergence at least 3. This procedure is modified by adding another single-step, which is the third step in PSS1. This modified procedure is called the point zoro symmetric single-step PZSS1. It is proven that the R-order of convergence of PZSS1 is at least 4 which is higher than the R-order of convergence of PT1, PS1, and PSS1. Hence, computational time is reduced since this procedure is more efficient for bounding simple zeros simultaneously.
url http://dx.doi.org/10.1155/2012/709832
work_keys_str_mv AT mansormonsi thepointzorosymmetricsinglestepprocedureforsimultaneousestimationofpolynomialzeros
AT nasruddinhassan thepointzorosymmetricsinglestepprocedureforsimultaneousestimationofpolynomialzeros
AT syaidafadhilahrusli thepointzorosymmetricsinglestepprocedureforsimultaneousestimationofpolynomialzeros
AT mansormonsi pointzorosymmetricsinglestepprocedureforsimultaneousestimationofpolynomialzeros
AT nasruddinhassan pointzorosymmetricsinglestepprocedureforsimultaneousestimationofpolynomialzeros
AT syaidafadhilahrusli pointzorosymmetricsinglestepprocedureforsimultaneousestimationofpolynomialzeros
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