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A. Cordero¹, J.R. Torregrosa¹ and M.P. Vassileva²

¹Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Spain
²Instituto Tecnológico de Santo Domingo, República Dominicana

doi:10.4203/ccp.105.31

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A. Cordero, J.R. Torregrosa, M.P. Vassileva, "Some Iterative Methods for Solving Nonlinear Matrix Equations", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 31, 2014. doi:10.4203/ccp.105.31

Keywords: iterative methods, order of convergence, nonlinear matrix equation, Newton's method, Chebyshev's method, derivative-free schemes.

Summary

In this paper, we study the behavior of some known iterative methods for solving nonlinear equations when they are applied to different nonlinear matrix equations. The convergence analysis, for some conditions on the matrices that appear in the equations, is shown in each case. Some numerical examples confirm the theoretical results and allow us to compare the proposed iterative methods with other known ones.

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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 31 Some Iterative Methods for Solving Nonlinear Matrix Equations A. Cordero¹, J.R. Torregrosa¹ and M.P. Vassileva² ¹Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Spain ²Instituto Tecnológico de Santo Domingo, República Dominicana doi:10.4203/ccp.105.31 purchase the full-text of this paper Full Bibliographic Reference for this paper A. Cordero, J.R. Torregrosa, M.P. Vassileva, "Some Iterative Methods for Solving Nonlinear Matrix Equations", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 31, 2014. doi:10.4203/ccp.105.31 Keywords: iterative methods, order of convergence, nonlinear matrix equation, Newton's method, Chebyshev's method, derivative-free schemes. Summary In this paper, we study the behavior of some known iterative methods for solving nonlinear equations when they are applied to different nonlinear matrix equations. The convergence analysis, for some conditions on the matrices that appear in the equations, is shown in each case. Some numerical examples confirm the theoretical results and allow us to compare the proposed iterative methods with other known ones. 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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