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S. Amat¹, J.A. Ezquerro², M.A. Hernández-Verón² and Á.A. Magreñán²

¹Department of Applied Mathematics and Statistics, Polytechnic University of Cartagena, Spain
²Department of Mathematics and Computation, University of La Rioja, Logroño, Spain

doi:10.4203/ccp.105.34

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, "On a Generalization of the Steffensen Method on Banach Spaces", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 34, 2014. doi:10.4203/ccp.105.34

Keywords: nonlinear equations, Steffensen's method, semilocal convergence, majorant principle, error estimates, order of convergence.

Summary

We consider a new Steffensen-like iterative method with better applicability than the classical Steffensen method. We analyse the semilocal convergence of this method by means of the majorant principle of Kantorovich. We see that the convergence conditions considered are reduced to the conditions usually imposed to the classical Steffensen method when the new method is reduced to the classical Steffensen method.

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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 34 On a Generalization of the Steffensen Method on Banach Spaces S. Amat¹, J.A. Ezquerro², M.A. Hernández-Verón² and Á.A. Magreñán² ¹Department of Applied Mathematics and Statistics, Polytechnic University of Cartagena, Spain ²Department of Mathematics and Computation, University of La Rioja, Logroño, Spain doi:10.4203/ccp.105.34 purchase the full-text of this paper Full Bibliographic Reference for this paper , "On a Generalization of the Steffensen Method on Banach Spaces", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 34, 2014. doi:10.4203/ccp.105.34 Keywords: nonlinear equations, Steffensen's method, semilocal convergence, majorant principle, error estimates, order of convergence. Summary We consider a new Steffensen-like iterative method with better applicability than the classical Steffensen method. We analyse the semilocal convergence of this method by means of the majorant principle of Kantorovich. We see that the convergence conditions considered are reduced to the conditions usually imposed to the classical Steffensen method when the new method is reduced to the classical Steffensen method. 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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