Fifth-order iterative method for finding multiple roots of nonlinear equations |
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| Authors: | Xiaowu Li Chunlai Mu Jinwen Ma Linke Hou |
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| Institution: | 1.College of Mathematics and Statistics,Chongqing University,Chongqing,People’s Republic of China;2.School of Mathematical Sciences and LMAM,Peking University,Beijing,People’s Republic of China;3.Center for Chinese Agricultural Policy, Institute of Geographical Sciences and Natural Resources Research,Chinese Academy of Sciences,Beijing,People’s Republic of China |
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| Abstract: | This paper presents a fifth-order iterative method as a new modification of Newton’s method for finding multiple roots of
nonlinear equations with unknown multiplicity m. Its convergence order is analyzed and proved. Moreover, several numerical examples demonstrate that the proposed iterative
method is superior to the existing methods. |
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