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Paper 32

Efficient Iterative Methods for Approximating Multiple Roots

J.L. Hueso¹, E. Martínez² and C. Teruel¹

¹Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Spain
²Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Spain

doi:10.4203/ccp.105.32

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, "Efficient Iterative Methods for Approximating Multiple Roots", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 32, 2014. doi:10.4203/ccp.105.32

Keywords: nonlinear equations, iterative methods, convergence order, efficiency index, multiple root.

Summary

In this paper, we present a new family of iterative methods for approximating multiple roots of nonlinear equations when the multiplicity is known. The methods are optimal in Kung-Traub's sense, because only three functional values per iteration are computed. The obtained methods are compared with existing optimal methods by using some example equations that have multiple roots.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 105 PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: Paper 32 Efficient Iterative Methods for Approximating Multiple Roots J.L. Hueso¹, E. Martínez² and C. Teruel¹ ¹Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Spain ²Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Spain doi:10.4203/ccp.105.32 purchase the full-text of this paper Full Bibliographic Reference for this paper , "Efficient Iterative Methods for Approximating Multiple Roots", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 32, 2014. doi:10.4203/ccp.105.32 Keywords: nonlinear equations, iterative methods, convergence order, efficiency index, multiple root. Summary In this paper, we present a new family of iterative methods for approximating multiple roots of nonlinear equations when the multiplicity is known. The methods are optimal in Kung-Traub's sense, because only three functional values per iteration are computed. The obtained methods are compared with existing optimal methods by using some example equations that have multiple roots. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £45 +P&P)
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